Research archive
arXiv papers from April 2006
The most recent 100 records published that month. Open any paper for its original abstract, citation metadata, related research, and reading tools.
- CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs modelastro-ph
Neil Bevis, Mark Hindmarsh, Martin Kunz, Jon Urrestilla
We present the first field-theoretic calculations of the contribution made by cosmic strings to the temperature power spectrum of the cosmic microwave background (CMB). Unlike previous work, in which strings were modeled as idealized one-dimensional objects, we evolve the simplest example of an underlying field theory containing local U(1) strings, the Abeli
Yuri G. Zarhin
Let K be a field of characteristic zero, n>4 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group is doubly transitive simple non-abelian group. Let p be an odd prime, Z[\zeta_p] the ring of integers in the p-th cyclotomic field, C_{f,p}:y^p=f(x) the corresponding superelliptic curve and J(C_{f,p}) its jacobian. Assuming that eit
Florentin Smarandache
As a consequence of the Integral Test we find a triple inequality which bounds up and down both a series with respect to its corresponding improper integral, and reciprocally an improper integral with respect to its corresponding series.
C. W. J. Beenakker, C. Schonenberger
1. Types of electrical noise 2. Measuring the unit of transferred charge 3. Quiet electrons 4. Detecting open transmission channels 5. Distinguishing particles from waves 6. Entanglement detector
- Pomeron dominance in deeply virtual Compton scattering and the femto holographic image of the protonhep-ph
Dieter Müller
The dominance of the soft pomeron in soft high energy scattering and the evolution to the deeply virtual regime, predicted by perturbation theory, allow us to reveal generalized parton distributions from H1 and ZEUS measurements of deeply virtual Compton scattering. These distributions encode a holographic image of the proton, which will be presented.
Yasunori Nomura, David Poland, Brock Tweedie
We present a framework for grand unification in which the grand unified symmetry is broken spontaneously by strong gauge dynamics, and yet the physics at the unification scale is described by (weakly coupled) effective field theory. These theories are formulated, through the gauge/gravity correspondence, in truncated 5D warped spacetime with the UV and IR br
Dennis Kretschmann, Dirk Schlingemann, Reinhard F. Werner
Stinespring's dilation theorem is the basic structure theorem for quantum channels: it states that any quantum channel arises from a unitary evolution on a larger system. Here we prove a continuity theorem for Stinespring's dilation: if two quantum channels are close in cb-norm, then it is always possible to find unitary implementations which are close in op
A. N. Leznov, G. R. Toker, R. Torres-Cordoba
Multi-soliton solution of the 3-waves problem is represented in explicit determinative form.
Mustafa Arslan
A new elementary proof for a theorem of D. Burns and S. Krantz on the rigidity of the analytic self maps of the unit disc was recently discovered by L. Baracco, D. Zaitsev, and G. Zampieri. We use their argument to generalize Burns-Krantz theorems on the unit disc and on the unit ball of ${\mathbb C}^n$.
Yaneer Bar-Yam
We consider the description of classical oscillatory motion in ZM theory, and explore the relationship of ZM theory to semi-classical Bohr-Sommerfeld quantization. The treatment illustrates some features of ZM theory, especially the inadequacies of classical and semi-classical treatments due to non-analyticity of the mapping of classical trajectories onto th
Amitabh Saxena, Ben Soh
Let $G_1$ be a cyclic multiplicative group of order $n$. It is known that the Diffie-Hellman problem is random self-reducible in $G_1$ with respect to a fixed generator $g$ if $\phi(n)$ is known. That is, given $g, g^x\in G_1$ and having oracle access to a `Diffie-Hellman Problem' solver with fixed generator $g$, it is possible to compute $g^{1/x} \in G_1$ i
- Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theoryhep-th
Filipe Moura, Ricardo Schiappa
This work addresses spherically symmetric, static black holes in higher-derivative stringy gravity. We focus on the curvature-squared correction to the Einstein-Hilbert action, present in both heterotic and bosonic string theory. The string theory low-energy effective action necessarily describes both a graviton and a dilaton, and we concentrate on the Calla
- Moduli of Stable Parabolic Connections, Riemann-Hilbert Correspondence and Geometry of Painlev\'{e} Equation of Type VI, Part IImath.AG
Michi-aki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
In this paper, we show that the family of moduli spaces of $\balpha'$-stable $(\bt, \blambda)$-parabolic $\phi$-connections of rank 2 over $\BP^1$ with 4-regular singular points and the fixed determinant bundle of degree -1 is isomorphic to the family of Okamoto--Painlev\'e pairs introduced by Okamoto \cite{O1} and \cite{STT02}. We also discuss about the gen
Daniel R. Cloutier, Joshua Holden
The discrete logarithm is a problem that surfaces frequently in the field of cryptography as a result of using the transformation g^a mod n. This paper focuses on a prime modulus, p, for which it is shown that the basic structure of the functional graph is largely dependent on an interaction between g and p-1. In fact, there are precisely as many different f
- Search for R-parity violating supersymmetry via the LLE couplings lambda_{121}, lambda_{122} or lambda_{133} in ppbar collisions at sqrt(s)=1.96 TeVhep-ex
D0 Collaboration, V. M. Abazov
A search for gaugino pair production with a trilepton signature in the framework of R-parity violating supersymmetry via the couplings lambda_121, lambda_122, or lambda_133 is presented. The data, corresponding to an integrated luminosity of L~360/pb, were collected from April 2002 to August 2004 with the D0 detector at the Fermilab Tevatron Collider, at a c
José M. M. Senovilla
In this short note, a brief overview with a critical appraisal of the acclaimed singularity theorems, the most genuine post-Einsteinian result of General Relativity, is presented.
Gino Isidori, Paride Paradisi
Motivated by the first evidence of the B -> tau nu transition reported by Belle and by the precise DeltaM_{B_s} measurement by CDF, we analyse these and other low-energy observables in the framework of the MSSM at large tan(beta). We show that for heavy squarks and A terms (M_squarks, A_U > 1 TeV) such scenario has several interesting virtues. It naturally d
J. Blümlein, V. Ravindran
We present threshold enhanced QCD corrections to the bottom quark energy distribution in Higgs boson decay and to hadroproduction in $l^+l^-$ annihilation beyond leading order in the strong coupling constant. This is achieved using the resummed decay distribution obtained using renormalisation group invariance and the mass factorisation theorem that they sat
Tao Zhou, Ming Zhao, Guanrong Chen, Gang Yan
In this Letter, we propose a growing network model that can generate scale-free networks with a tunable community strength. The community strength, $C$, is directly measured by the ratio of the number of external edges to internal ones; a smaller $C$ corresponds to a stronger community structure. According to the criterion obtained based on the master stabil
David Craig, Fay Dowker, Joe Henson, Seth Major
One obtains Bell's inequalities if one posits a hypothetical joint probability distribution, or {\it measure}, whose marginals yield the probabilities produced by the spin measurements in question. The existence of a joint measure is in turn equivalent to a certain causality condition known as ``screening off''. We show that if one assumes, more generally, a
Sanatan Digal
We study the effects of the interaction between the Chiral condensate and the Polyakov loop on the chiral transition within an effective Lagrangian. We find that the effects of the interaction change the order of the phase transition when the explicit breaking of the Z_N symmetry of the Polyakov loop is large. Our results suggest that the chiral transition i
- Direct Observation of Spectroscopic Inhomogeneities on La0.7Sr0.3MnO3 Thin Films by Scanning Tunnelling Spectroscopycond-mat.str-el
R. Di Capua, C. A. Perroni, V. Cataudella, F. Miletto Granozio
Scanning tunnelling spectroscopy measurements were performed on La0.7Sr0.3MnO3 thin films both at room temperature and liquid nitrogen temperature. While no inhomogeneities were recorded at liquid nitrogen temperature on any sample, a clear evidence of spectroscopic inhomogeneities was evident in tunnelling conductance maps collected at room temperature. The
Igor Rodnianski, Jacob Sterbenz
We study the phenomena of energy concentration for the critical O(3) sigma model, also known as the wave map flow from R^{2+1} Minkowski space into the sphere S^2. We establish rigorously and constructively existence of a set of smooth initial data resulting in a dynamic finite time formation of singularities. The construction and analysis is done in the con
F. Yasuk, I. Boztosun, A. Durmus
We investigate the analytical solution of a new exactly solvable non-central potential of $V(r,\theta) = D({\frac{r - a}{r}})^2+{\frac{\beta}{r^2\sin^2 \theta}}+{\frac{\gamma \cos \theta}{r^2\sin^2 \theta}}$ type, which may be called as the modified non-central Kratzer potential. The energy eigenvalues as well as the corresponding eigenfunctions are calculat
Paolo Lipparini
We use Shelah's theory of possible cofinalities in order to solve a problem about ultrafilters. THEOREM. Suppose that $ \lambda $ is a singular cardinal, $ \lambda ' < \lambda $, and the ultrafilter $D$ is $ \kappa $-decomposable for all regular cardinals $ \kappa $ with $ \lambda ' < \kappa < \lambda $. Then $D$ is either $ \lambda $-decomposable, or $ \lam
Bau-Sen Du
In this note, we consider the following two families of quadratic polynomials $S_{a,c}(x) = a - cx^2$ and $T_{a,c}(x) = a - c(1 + x^2)$ and show that their respective period-3 orbits live very different lives.
Menachem I. Tsindlekht, Grigory I. Leviev, Valery M. Genkin, Israel Felner
We report results of dc magnetic and ac linear low-frequency study of a polycrystalline MgB$_2$ sample. AC susceptibility measurements at low frequencies, performed under dc fields parallel to the sample surface, provide a clear evidence for surface superconducting states in MgB$_2$.
Chao-Yang Pang, Zheng-Wei Zhou, Guang-Can Guo
Many classical encoding algorithms of Vector Quantization (VQ) of image compression that can obtain global optimal solution have computational complexity O(N). A pure quantum VQ encoding algorithm with probability of success near 100% has been proposed, that performs operations 45sqrt(N) times approximately. In this paper, a hybrid quantum VQ encoding algori
Bruno Schapira
We introduce and study the natural counterpart of the Dunkl Markov processes in a negatively curved setting. We give a semimartingale decomposition of the radial part, and some properties of the jumps. We prove also a law of large numbers, a central limit theorem, and the convergence of the normalized process to the Dunkl process. Eventually we describe the
Annapurni Subramaniam, Blesson Mathew, Bhuwan Chandra Bhatt, S. Ramya
We present a photometric and spectroscopic study of the young open cluster NGC 7419, which is know to host a large number of classical Be stars for reasons not well understood. Based on CCD photometric observations of 327 stars in UBV passbands, we estimated the cluster parameters as, reddening E(B-V) = 1.65 +/- 0.15 mag and distance = 2900 +/- 400 pc. The t
H. M. Asatrian, A. Hovhannisyan, V. Poghosyan, T. Ewerth
We present an independent calculation of that part of the O(\alpha_s^2) contribution to the decay width \Gamma(\bar B -> X_s \gamma) which arises from the self-interference term of the electromagnetic dipole operator O_7. Using a different method, we find complete agreement with a previous calculation. This NNLL contribution is an important ingredient for th
Tatsuya Tsukamoto
Bankwitz characterized an alternating diagram representing the trivial knot. A non-alternating diagram is called almost alternating if one crossing change makes the diagram alternating. We characterize an almost alternaing diagram representing the trivial knot. As a corollary we determine an unknotting number one alternating knot with a property that the unk
J. J. van der Bij, S. Dilcher
Searches for the SM Higgs boson by the four LEP experiments have found a 2.3 sigma excess at 98 GeV and a smaller 1.7 sigma at around 115 GeV. We interpret these excesses as evidence for a Higgs boson coupled to a higher dimensional singlet scalar. The fit implies a relatively low dimensional mixing scale mu_{lhd} < 50 GeV, which explains the low confidence
- Observation of three-dimensional bulk Fermi surfaces for a strongly correlated material by soft x-ray $h\nu$-dependent (700-860 eV) ARPEScond-mat.str-el
M. Yano, A. Sekiyama, H. Fujiwara, T. Saita
Three-dimensional Fermi surfaces at a high temperature have been clarified for a strongly correlated Ce compound, ferromagnet CeRu$_2$Ge$_2$ in the paramagnetic phase, by virtue of a soft x-ray $h\nu$-dependent (700-860 eV) ARPES. Although the observed Fermi surfaces as well as quasiparticle dispersions are partly explained by a band-structure calculation ba
A. C. G. Mennucci, A. Yezzi, G. Sundaramoorthi
We define a manifold $M$ where objects $c\in M$ are curves, which we parameterize as $c:S^1\to R^n$ ($n\ge 2$, $S^1$ is the circle). Given a curve $c$, we define the tangent space $T_cM$ of $M$ at $c$ including in it all deformations $h:S^1\to R^n$ of $c$. In this paper we study geometries on the manifold of curves, provided by Sobolev--type metrics $H^j$. W
- On the functional equation $F(A(z))=G(B(z)),$ where $A,B$ are polynomial$ and $F,G$ are continuous functionsmath.CV
Fedor Pakovich
In this note we describe solutions of the equation: $F(A(z))=G(B(z)),$ where $A,B$ are polynomials and $F,G$ are continuous functions on the Riemann sphere.
- Leptogenesis bound on neutrino masses in left-right symmetric models with spontaneous D-parity violationhep-ph
Narendra Sahu, Utpal Sarkar
We study the baryogenesis via leptogenesis in a class of left-right symmetric models, in which $D$-parity is broken spontaneously. We first discuss the consequence of the spontaneous $D$-parity breaking on the neutrino masses. Than we study the lepton asymmetry in various cases, from the decay of right handed neutrino as well as the triplet Higgs, depending
E. Sharpe
In this paper we shall describe some correlation function computations in perturbative heterotic strings that generalize B model computations. On the (2,2) locus, correlation functions in the B model receive no quantum corrections, but off the (2,2) locus, that can change. Classically, the (0,2) analogue of the B model is equivalent to the previously-discuss
Jing Zhao, Hong Yu, Jian-Hua Luo, Zhi-Wei Cao
The exploration of the structural topology and the organizing principles of genome-based large-scale metabolic networks is essential for studying possible relations between structure and functionality of metabolic networks. Topological analysis of graph models has often been applied to study the structural characteristics of complex metabolic networks.In thi
Min Liu, Kevin E. Bassler
The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between topology and dynamics during the evolution. The final evolved state is shown to be independent of initial conditions. The
- The GRB early optical flashes from internal shocks: application to GRB990123, GRB041219a and GRB060111bastro-ph
D. M. Wei
With the successful launch of the Swift Gamma-Ray Burst Explorer, people expected the prompt optical flash like GRB990123 would be easily detected. However the fact that early optical flash have not been detected for a number of GRBs indicates the reverse shock must be suppressed. Here we explore the possibility that the optical flash may arise from the inte
Jian Wang, Quan Zhang, Chao-jing Tang
We present a multiparty simultaneous quantum identity authentication protocol based on entanglement swapping. In our protocol, the multi-user can be authenticated by a trusted third party simultaneously.
Haibo Li
We report on the charm physics potential at BES-III at BEPC-II which will make significant contribution to quark flavor physics this decade. The charm physics program will include studies of leptonic, semileptonic and hadronic charm decays, and tests for physics beyond the Standard Model. Event samples of the order of 30 million $\DD$ pairs, 2 million $\DspD
Jie Ren, Xin-He Meng
We generalize the $\Lambda$CDM model by introducing a unified EOS to describe the Universe contents modeled as dark viscous fluid, motivated by the fact that a single constant equation of state (EOS) $p=-p_0$ ($p_0>0$) reproduces the $\Lambda$CDM model exactly. This EOS describes the perfect fluid term, the dissipative effect, and the cosmological constant i
Michael Höhl, Isidore Rigoutsos, Mark A. Ragan
We have developed an alignment-free method that calculates phylogenetic distances using a maximum likelihood approach for a model of sequence change on patterns that are discovered in unaligned sequences. To evaluate the phylogenetic accuracy of our method, and to conduct a comprehensive comparison of existing alignment-free methods (freely available as Pyth
E. Mukhin, V. Tarasov, A. Varchenko
We consider the XXX-type and Gaudin quantum integrable models associated with the Lie algebra $gl_N$. The models are defined on a tensor product irreducible $gl_N$-modules. For each model, there exist $N$ one-parameter families of commuting operators on the tensor product, called the transfer matrices. We show that the Bethe vectors for these models, given b
- Tunneling between 2D electron layers with correlated disorder: anomalous sensitivity to spin-orbit couplingcond-mat.mes-hall
V. A. Zyuzin, E. G. Mishchenko, M. E. Raikh
Tunneling between two-dimensional electron layers with mutually correlated disorder potentials is studied theoretically. Due to this correlation, the diffusive eigenstates in different layers are almost orthogonal to each other. As a result, a peak in the tunnel I-V characteristics shifts towards small bias, V. This "protects" the peak against the interactio
B. Klartag
Suppose X is a random vector, that is distributed uniformly in some n-dimensional convex set. It was conjectured that when the dimension n is very large, there exists a non-zero vector u, such that the distribution of the real random variable <X,u> is close to the gaussian distribution. A well-understood situation, is when X is distributed uniformly over the
Michele Bonaldi, Massimo Cerdonio, Livia Conti, Paolo Falferi
We apply the standard theory of the elastic body to obtain a set of equations describing the behavior of an acoustic Gravitational Wave detector, fully taking into account the 3-dimensional properties of the mass, the readout and the signal. We show that the advantages given by a Dual detector made by two nested oscillators can also be obtained by monitoring
- A fundamental domain of Ford type for $SO(3,Z[i])\backslash SO(3,C)/SO(3)$, and for $SO(2,1)_Z\backslash SO(2,1)/SO(2)$math.NT
Eliot Brenner
Let $G=SO(3,C)$, $\Gamma=SO(3,Z[i])$, $K=SO(3)$, and let $X$ be the locally symmetric space $\Gamma\backslash G/K$. In this paper, we write down explicit equations defining a fundamental domain for the action of $\Gamma$ on $G/K$. The fundamental domain is well-adapted for studying the theory of $\Gamma$-invariant functions on $G/K$. We write down equations
V. P. Nair
The one-dimensional ${\cal N}\times {\cal N}$-matrix Chern-Simons action is given, for large ${\cal N}$ and for slowly varying fields, by the $(2k+1)$-dimensional Chern-Simons action $S_{CS}$, where the gauge fields in $S_{CS}$ parametrize the different ways in which the large ${\cal N}$ limit can be taken. Since some of these gauge fields correspond to the
Iver Brevik, Simen A. Ellingsen, Kimball A. Milton
The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic surfaces both plane and curved have been measured at the 10 to 1 percent level in a variety of room-temperature experiments,
V. P. Nair
We consider different large ${\cal N}$ limits of the one-dimensional Chern-Simons action $i\int dt~ \Tr (\del_0 +A_0)$ where $A_0$ is an ${\cal N}\times{\cal N}$ antihermitian matrix. The Hilbert space on which $A_0$ acts as a linear transformation is taken as the quantization of a $2k$-dimensional phase space ${\cal M}$ with different gauge field background
Dimitra Karabali
We discuss the bosonization of nonrelativistic fermions interacting with non-Abelian gauge fields in the lowest Landau level in the framework of higher dimensional quantum Hall effect. The bosonic action is a one-dimensional matrix action, which can also be written as a noncommutative field theory, invariant under $W_N$ transformations. The requirement that
Nathan Roche
We perform UBR imaging and optical spectroscopy of the interacting galaxy pair Arp 104, at z=0.0098. This consists of NGC5218, a disturbed Sb barred spiral with an inclined outer shell, the round spheroidal NGC5216, a connecting bridge of length 50 kpc and a curved plume. Neither galaxy shows emission lines. NGC5218 has strong Balmer lines and appears to hav
- Single molecule photon counting statistics for quantum mechanical chromophore dynamicscond-mat.mtrl-sci
Golan Bel, Yujun Zheng, Frank L. H. Brown
We extend the generating function technique for calculation of single molecule photon emission statistics [Y. Zheng and F. L. H. Brown, Phys. Rev. Lett., 90,238305 (2003)] to systems governed by multi-level quantum dynamics. This opens up the possibility to study phenomena that are outside the realm of purely stochastic and mixed quantum-stochastic models. I
Eliot Brenner
We initiate a study of the spectral theory of the locally symmetric space $X=\Gamma\backslash G/K$, where $G=SO(3,Complex)$, $\Gamma=SO(3,Z[i])$, $K=SO{3}$. We write down explicit equations defining a fundamental domain for the action of $\Gamma$ on $G/K$. The fundamental domain is well-adapted for studying the theory of $\Gamma$-invariant functions on $G/K$
- The Positions, Colors, and Photometric Variability of Pluto's Small Satellites from HST Observations 2005-2006astro-ph
S. A. Stern, M. J. Mutchler, H. A. Weaver, A. J. Steffl
Pluto's two small satellites, temporarily designated S/2005 P 1 and S/2005 P 2, were observed on four dates (15.1 and 18.1 May 2005, 15.7 February 2006, and 2.8 March 2006) using the Hubble Space Telescope's (HST) Advanced Camera for Surveys (ACS). Here we collect together the astrometric positions of these two satellites (henceforth P1 and P2), as well as a
Todor E. Milanov
The ancestor Gromov--Witten invariants of a compact {\Kahler} manifold $X$ can be organized in a generating function called the total ancestor potential of $X$. In this paper, we construct Hirota Quadratic Equations (HQE shortly) for the total ancestor potential of $\C P^1$. The idea is to adopt the formalism developed in \cite{G1,GM} to the mirror model of
Alexei Vazquez
I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population heterogeneity is taken into account by the agent's subdivision in types and the mixing matrix among them. I introduce a
C. J. Short, P. Coles
The dynamical equations describing the evolution of a self-gravitating fluid of cold dark matter (CDM) can be written in the form of a Schrodinger equation coupled to a Poisson equation describing Newtonian gravity. It has recently been shown that, in the quasi-linear regime, the Schrodinger equation can be reduced to the exactly solvable free-particle Schro
Richard S. Garavuso
In this paper, a new locally supersymmetric two brane Randall-Sundrum model is constructed. The construction starts from a D=5, N=2 gauged Yang-Mills/Einstein/tensor supergravity theory with scalar manifold M = SO(1,1) x SO(2,1) / SO(2) and gauge group U(1)_R x SO(2). Here, U(1)_R is a subgroup of the R-symmetry group SU(2)_R and SO(2) is a subgroup of the i
Derek Waldron, Vladimir Timoshevskii, Yibin Hu, Ke Xia
By carrying out density functional theory analysis within the Keldysh non-equilibrium Green's functional formalism, we have calculated the nonlinear and non-equilibrium quantum transport properties of Fe/MgO/Fe trilayer structures as a function of external bias voltage. For well relaxed atomic structures of the trilayer, the equilibrium tunnel magnetoresista
Alp Deniz Özer, Harald Fritzsch
Extrapolating the coupling strengths to very high energies, one finds that they do not converge to a single coupling constant, as expected in the simplest gauge theory of Grand Unification, the SU(5) theory. We find that the coupling constants do converge, provided that two new intermediate energy scales are introduced, the energies where the group SU(4), co
C. J. Short, P. Coles
We explore a novel approach to the study of large-scale structure formation in which self-gravitating cold dark matter (CDM) is represented by a complex scalar field whose dynamics are governed by coupled Schrodinger and Poisson equations. We show that, in the quasi-linear regime, the Schrodinger equation can be reduced to the free-particle Schrodinger equat
Nigel P. Byott, G. Griffith Elder
Let $p$ be a prime number and let $K$ be a finite extension of the field $\mathbb{Q}_p$ of $p$-adic numbers. Let $N$ be a fully ramified, elementary abelian extension of $K$. Under a mild hypothesis on the extension $N/K$, we show that every element of $N$ with valuation congruent mod $[N:K]$ to the largest lower ramification number of $N/K$ generates a norm
Bao-An Li, Lie-Wen Chen
It is shown that the experimentally observed decrease of the nuclear symmetry energy with the increasing centrality or the excitation energy in isotopic scaling analyses of heavy-ion reactions can be well understood analytically within a degenerate Fermi gas model. The evolution of the symmetry energy is found to be mainly due to the variation in the freeze-
Samuel J. Lomonaco,, Louis H. Kauffman
In this paper, we give a description of a recent quantum algorithm created by Aharonov, Jones, and Landau for approximating the values of the Jones polynomial at roots of unity of the form exp(2$\pi$i/k). This description is given with two objectives in mind. The first is to describe the algorithm in such a way as to make explicit the underlying and inherent
Gordon Blower
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of the operators associated with soft and hard edges of eigenvalue distributions of random matrices. Tracy and Widom introduced a projection operator $W$ to describe the soft edge of the spectrum of the Gaussian unitary ensemble. The subspace $WL^2$ is simpl
Sergey N. Shevchenko
The impact of the transport supercurrent on the density of states in the superconducting thin film with the weak link is investigated. At the weak link the order parameter is locally suppressed due to the order parameter phase difference. This results in the appearance of the zero-energy states, which are strongly influenced by the supercurrent especially at
Vasily E. Tarasov
We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals. We de
Peter W. Michor, David Mumford
Here shape space is either the manifold of simple closed smooth unparameterized curves in $\mathbb R^2$ or is the orbifold of immersions from $S^1$ to $\mathbb R^2$ modulo the group of diffeomorphisms of $S^1$. We investige several Riemannian metrics on shape space: $L^2$-metrics weighted by expressions in length and curvature. These include a scale invarian
Simone Chiesa, David M. Ceperley, Richard M. Martin, Markus Holzmann
We discuss the origin of the finite size error of the energy in many-body simulation of systems of charged particles and we propose a correction based on the random phase approximation at long wave lengths. The correction comes from contributions mainly determined by the organized collective oscillations of the interacting system. Finite size corrections, bo
J. Machalski, M. Jamrozy
In this paper we analyse whether `giant' radio galaxies (GRGs) differ from `normal'-size galaxies (NSGs) except for the linear extent of their radio structure. We compare a number of properties of GRGs with the corresponding properties of NSGs, and analyse the statistical trends and correlations of physical parameters, homogeneously determined for the source
Djamel Dou, Badis Ydri
We study the entanglement entropy of a scalar filed in 2+1 spacetime where space is modeled by a fuzzy sphere and a fuzzy disc. In both models we evaluate numerically the resulting entropies and find that they are proportional to the number of boundary degrees of freedom. In the Moyal plan limit of the fuzzy disc the entanglement entropy per unit area (lengt
F. Bonetto, G. Gallavotti, G. Gentile
A simple class of chaotic systems in a random environment is considered and the fluctuation theorem is extended under the assumption of reversibility.
- The galaxy cluster X-ray luminosity--gravitational mass relation in the light of the WMAP 3rd year dataastro-ph
Thomas H. Reiprich
The 3rd year WMAP results mark a shift in best fit values of cosmological parameters compared to the 1st year data and the concordance cosmological model. We test the consistency of the new results with previous constraints on cosmological parameters from the HIFLUGCS galaxy cluster sample and the impact of this shift on the X-ray luminosity-gravitational ma
- Quantum interference due to crossed Andreev reflection in a d-wave superconductor with two nano-contactscond-mat.supr-con
S. Takahashi, T. Yamashita, S. Maekawa
The crossed Andreev reflection in a hybrid nanostructure consisting of a d-wave superconductor and two quantum wires is theoretically studied. When the (110) oriented surface of the superconductor is in contact with the wires parallel and placed close to each other, the Andreev bound state is formed by the crossed Andreev reflection. The conductance has two
Hristu Culetu
The properties of a stationary massive string endowed with intrinsic angular momentum are investigated. The spacetime is generated by an "improper" time translation combined with uniform rotation. The mass per unit length of the string is proportional to the angular velocity $\omega$. The spacetime is Minkowskian geometrically but the topology is nontrivial
P. Miocchi, R. Capuzzo Dolcetta, P. Di Matteo
We present the results of detailed N-body simulations regarding the interaction of four massive globular clusters in the central region of a triaxial galaxy. The systems undergo a full merging event, producing a sort of 'Super Star Cluster' (SSC) whose features are close to those of a superposition of the individual initial mergers. In contrast with other si
- On the theory of a scalar particle with electromagnetic polarizability in Coulomb and Dirac monopole fieldshep-th
V. M. Red'kov, N. G. Tokarevskaya, V. V. Kisel
15-component matrix and tetrad-based description of a a scalar particle with two electromagnetic characteristics -- charge e and polarizability \sigma, is elaborated in presence of external Coulomb field. With the use of Wigner's D-functions, in the basis of diagonal spherical tetrad, the separation of variables in the generalized wave equation is done, and
The BABAR Collaboration, B. Aubert
We analyze the three-body charmless decay B+- -> K+-K+-K-+ using a sample of 226.0 +- 2.5 million BBbar pairs collected by the BABAR detector. We measure the total branching fraction and CP asymmetry to be B = (35.2 +- 0.9 +-1.6) x 10^{-6} and A_CP = (-1.7 +- 2.6 +- 1.5)%. We fit the Dalitz plot distribution using an isobar model and measure the magnitudes a
Alexei Stepanov
In the present note a generalization of Borel-Cantelli Lemma is proposed.
Akio Ohmura, Hikaru Kawamura
In order to clarify how the statistical properties of earthquakes depend on the constitutive law characterizing the stick-slip dynamics, we make an extensive numerical simulation of the one-dimensional spring-block model with the rate- and state-dependent friction law. Both the magnitude distribution and the recurrence-time distribution are studied with vary
Serhiy E. Samokhvalov
We show that there is an infinite group of special automorphisms of the deformed group of diffeomorphisms, which describes parallel transports in Riemannian spaces of any variable curvature. Generators of translations of such group contain covariant derivatives, and structure functions - the curvature tensor.
- Delay times and detector times for optical pulses traversing plasmas and negative refractive mediacond-mat.mtrl-sci
Lipsa Nanda, Aakash Basu, S. Anantha Ramakrishna
We show that arrival times for electromagnetic pulses measured through the rate of absorption in an ideal impedance matched detector are equivalent to the arrival times using the average flow of optical energy as proposed by Peatross {\it et al.} [ Phys. Rev. Lett. {\bf 84}, 2370 (2000)]. We then investigate the transport of optical pulses through dispersive
- Rational semistandard tableaux and character formula for the Lie superalgebra $\hat{\frak{gl}}_{\infty|\infty}$math.RT
Jae-Hoon Kwon
A new combinatorial interpretation of the Howe dual pair $(\hat{\frak{gl}}_{\infty|\infty},\frak{gl}_n)$ acting on an infinite dimensional Fock space $\frak{F}^n$ of level $n$ is presented. The character of a quasi-finite irreducible highest weight representation of $\hat{\frak{gl}}_{\infty|\infty}$ occurring in $\frak{F}^n$ is realized in terms of certain b
- Electron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic trapscond-mat.mes-hall
Constantine Yannouleas, Uzi Landman
We discuss the formation of crystalline electron clusters in semiconductor quantum dots and of crystalline patterns of neutral bosons in harmonic traps. In a first example, we use calculations for two electrons in an elliptic quantum dot to show that the electrons can localize and form a molecular dimer. The calculated singlet-triplet splitting (J) as a func
- Coherent network analysis technique for discriminating gravitational-wave bursts from instrumental noisegr-qc
Shourov Chatterji, Albert Lazzarini, Leo Stein, Patrick Sutton
Existing coherent network analysis techniques for detecting gravitational-wave bursts simultaneously test data from multiple observatories for consistency with the expected properties of the signals. These techniques assume the output of the detector network to be the sum of a stationary Gaussian noise process and a gravitational-wave signal, and they may fa
Yuhui He, Danqiong Hou, Xiaoyan Liu, Ruqi Han
We propose a nonequilibrium Green's function approach to calculate the ac conductance of various finite-length carbon nanotubes. The simulated ac conductance differs significantly from that of the infinite-length ones. At the low-frequency limit, the profiles of the quantized conductance are still observable in the finite-length carbon nanotubes, but many mo
P. Zh. Aslanyan
The experimental data from 2m propane bubble chamber have been analyzed to search for scalar meson $\kappa(800)$ in a $K^0_s\pi$ decay mode for the reaction p+$C_3H_8$ at 10 GeV/c. The $K^0_s\pi^-$ invariant mass spectrum has shown resonant structures with $M_{K^0_s\pi^-}$=730, 900 and $\Gamma$=143, 48 MeV/$c^2$, respectively. The statistical significance ar
- Critical behavior of the three- and ten-state short-range Potts glass: A Monte Carlo studycond-mat.dis-nn
L. W. Lee, Helmut G. Katzgraber, A. P. Young
We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p = 3, a finite-size scaling analysis of the correlation length shows clear evidence of a transition to a spin-glass phase at T_c = 0.273(5) for a Gaussian distribution of interactions and T_c = 0.377
Guo-Jie Gao, Jerzy Blawzdziewicz, Corey S. O'Hern
We create mechanically stable (MS) packings of bidisperse disks using an algorithm in which we successively grow or shrink soft repulsive disks followed by energy minimization until the overlaps are vanishingly small. We focus on small systems because this enables us to enumerate nearly all distinct MS packings. We measure the probability to obtain a MS pack
S. Ihnatsenka, I. V. Zozoulenko
We provide a systematic quantitative description of the structure of edge states and magnetosubband evolution in hard wall quantum wires in the integer quantum Hall regime. Our calculations are based on the self-consistent Green's function technique where the electron- and spin interactions are included within the density functional theory in the local spin
- Effect of frustration on charge dynamics for a doped two-dimensional triangular Hubbard lattice: Comparison with a square latticecond-mat.str-el
T. Tohyama
We examine the optical conductivity \sigma(\omega) and the chemical potential \mu, together with the spin correlation, in the strong-coupling limit of a hole-doped two-dimensional triangular Hubbard model near half filling by using an exact diagonalization technique. In contrast to the case of a square lattice without frustration, the doping dependences of \
- Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundariescond-mat.stat-mech
H. Koibuchi
We found that the order for the crumpling transition of an intrinsic curvature model changes depending on the distance between two boundary vertices fixed on the surface of spherical topology. The model is a curvature one governed by an intrinsic curvature energy, which is defined on triangulated surfaces. It was already reported that the model undergoes a f
- Convergence results for simultaneous and multiplicative Diophantine approximation on planar curvesmath.NT
Dzmitry Badziahin, Jason Levesley
Let $\mathcal{C}$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for convergence in the case of simultaneous approximation with two independent approximation functions; that is if a certain sum converges then the set of all points $(x,y)$ on the curve which satisfy simultaneously the inequalities $\| q x \| < \psi_1(q)$ and $\
Rubens Viana Ramos, Paulo Benicio de Sousa, David Sena Oliveira
Quantum computation has attracted much attention since it was shown by Shor and Grover the possibility to implement quantum algorithms able to realize, respectively, factoring and searching in a faster way than any other known classical algorithm. It is possible to use Grover algorithm, taking profit of its ability to find a specific value in a unordered dat
- Dyson's constants in the asymptotics of the determinants of Wiener-Hopf-Hankel operators with the sine kernelmath.FA
Torsten Ehrhardt
In this paper we are going to prove two asymptotic formulas for determinants det(I-K_s), as s goes to infinity, where K_s are the Wiener-Hopf-Hankel operators acting on L^2[0,s] with the kernels K(x-y)+K(x+y) and K(x-y)-K(x+y), respectively, and K(t):=sin(t)/(\pi*t). These formulas were conjectured by Dyson. The identification of the constant term in the asy
- Dual-Topology Hamiltonian-Replica-Exchange Overlap Histogramming Method to Calculate Relative Free Energy Difference in Rough Energy Landscapephysics.chem-ph
Donghong Min, Hongzhi Li, Guohui Li, Ryan Bitter-Putzer
A novel overlap histogramming method based on Dual-Topology Hamiltonian-Replica-Exchange simulation technique is presented to efficiently calculate relative free energy difference in rough energy landscape, in which multiple conformers coexist and are separated by large energy barriers. The proposed method is based on the realization that both DT-HERM exchan