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Chaotic Dynamics papers — page 4

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Spectral properties of Atoms in Fields: A Semiclassical Analysis
We develop a semiclassical theory for the spectral rigidity of non-hydrogenic Rydberg atoms in electric fields and evaluate the significant deviations from the well-known Poissonian behaviour in the…
P. N. Walker, T. S. MonteiroNov 2, 1999
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Artificiality of multifractal phase transitions
A multifractal phase transition is associated to a nonanalyticity in the generalised dimensions. We show that its occurrence is an artifact of the asymptotic scaling behaviour of integral moments and…
Martin Wolf, Jürgen Schmiegel, Martin GreinerNov 2, 1999
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Two-Particle Dispersion in Model Velocity Fields
We consider two-particle dispersion in a velocity field, where the relative two-point velocity scales according to v2(r) rα and the corresponding correlation time scales as $τ(r)…
I. M. SokolovNov 2, 1999
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Quantum limit of the laser linewidth in chaotic cavities and statistics of residues of scattering matrix poles
The quantum-limited linewidth of a laser cavity is enhanced above the Schawlow-Townes value by the Petermann factor K, due to the non-orthogonality of the cavity modes. We derive the relation between…
H. Schomerus, K. M. Frahm, M. Patra et al.Nov 1, 1999
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Structure of Quantum Chaotic Wavefunctions: Ergodicity, Localization, and Transport
We discuss recent developments in the study of quantum wavefunctions and transport in classically ergodic systems. Surprisingly, short-time classical dynamics leaves permanent imprints on long-time…
L. KaplanOct 30, 1999
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Different Traces of Quantum Systems Having the Same Classical Limit
Many quantum systems may have the same classical limit. We argue that in the classical limit their traces do not necessarily converge one to another. The trace formula allows to express quantum…
Prot PakonskiOct 29, 1999
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Can Strange Nonchaotic Dynamics be induced through Stochastic Driving?
Upon addition of noise, chaotic motion in low-dimensional dynamical systems can sometimes be transformed into nonchaotic dynamics: namely, the largest Lyapunov exponent can be made nonpositive. We…
Awadhesh Prasad, Ramakrishna RamaswamyOct 29, 1999
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Relaxation to the Invariant Density for Kicked Rotor
The relaxation rates to the invariant density in the chaotic phase space component of the kicked rotor (standard map) are calculated analytically for a large stochasticity parameter, K. These rates…
M. Khodas, S. Fishman, O. AgamOct 28, 1999
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Relaxation and Diffusion for the Kicked Rotor
The dynamics of the kicked-rotor, that is a paradigm for a mixed system, where the motion in some parts of phase space is chaotic and in other parts is regular is studied statistically. The evolution…
M. Khodas, S. FishmanOct 28, 1999
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Diffractive corrections in the trace formula for polygonal billiards
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional polygonal billiards. In polygons, diffraction typically occurs…
E. Bogomolny, N. Pavloff, C. SchmitOct 27, 1999
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Density-dependent diffusion in the periodic Lorentz gas
We study the deterministic diffusion coefficient of the two-dimensional periodic Lorentz gas as a function of the density of scatterers. Results obtained from computer simulations are compared to the…
R. Klages, Chr. DellagoOct 27, 1999
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Action Correlations in Integrable Systems
In many problems of quantum chaos the calculation of sums of products of periodic orbit contributions is required. A general method of computation of these sums is proposed for generic integrable…
E. BogomolnyOct 26, 1999
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Chaos and Fractals in Geodesic Motions Around a Non-Rotating Black-Hole with an External Halo
We investigate the occurrence chaos in the escape of test particles moving in the field of a Schwarzschild black hole surrounded by an external halo. The motion of both material particles and zero…
Alessandro P. S. de Moura, Patricio S. LetelierOct 26, 1999
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Heat conduction in 2d nonlinear lattices
The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two…
A. Lippi, R. LiviOct 26, 1999
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Forced Burgers Turbulence in 3-Dimensions
We investigate non-perturbative results of inviscid forced Burgers equation supplemented to continuity equation in three-dimensions. The exact two-point correlation function of density is calculated…
J. Davoudi, A. R. Rastegar, M. R. Rahimi TabarOct 26, 1999
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Fractal escapes in Newtonian and relativistic multipole gravitational fields
We study the planar motion of test particles in gravitational fields produced by an external material halo, of the type found in many astrophysical systems, such as elliptical galaxies and globular…
Alessandro P. S. de Moura, Patricio S. LetelierOct 25, 1999
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Truncations of random unitary matrices
We analyze properties of non-hermitian matrices of size M constructed as square submatrices of unitary (orthogonal) random matrices of size N>M, distributed according to the Haar measure. In this way…
Karol Zyczkowski, Hans-Juergen SommersOct 21, 1999
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Chaotic enhancement of decay. The effect of classical phase space structure
We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of…
Yosef Ashkenazy, Luca Bonci, Jacob Levitan et al.Oct 21, 1999
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Short-Time Effects on Eigenstate Structure in Sinai Billiards and Related Systems
There is much latitude between the requirements of Schnirelman's theorem regarding the ergodicity of individual high-energy eigenstates of classically chaotic systems on the one hand, and the…
L. Kaplan, E. J. HellerOct 20, 1999
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Different transport regimes in a spatially-extended recirculating background
Passive scalar transport in a spatially-extended background of roll convection is considered in the time-periodic regime. The latter arises due to the even oscillatory instability of the cell lateral…
P. Castiglione, R. Festa, A. MazzinoOct 20, 1999
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Ornstein-Uhlenbeck-Cauchy Process
We combine earlier investigations of linear systems with Lévy fluctuations [Physica 113A, 203, (1982)] with recent discussions of Lévy flights in external force fields [Phys.Rev. E…
Piotr Garbaczewski, Robert OlkiewiczOct 20, 1999
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Stochastic modelling of nonlinear dynamical systems
We develop a general theory dealing with stochastic models for dynamical systems that are governed by various nonlinear, ordinary or partial differential, equations. In particular, we address the…
Piotr GarbaczewskiOct 20, 1999
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The Linear Baryon
We describe classical orbits and quantum states of a three particle system which is weakly chaotic. The quantum energies of the lowest 48 states which are invariant under permutations are given both…
D. Bukta, G. Karl, B. G. NickelOct 19, 1999
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Asymptotic expansions of unstable (stable) manifolds in time-discrete systems
By means of an updated renormalization method, we construct asymptotic expansions for unstable manifolds of hyperbolic fixed points in the double-well map and the dissipative Hénon map, both of which…
Shin-itiro Goto, Kazuhiro NozakiOct 18, 1999
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Solitary waves in nonequilibrium molecular dynamics simulations of heat flow in one-dimensional lattices
We study the use of the Evans Nonequilibrium Molecular Dynamics (NEMD) heat flow algorithm for the computation of the heat conductivity in one-dimensional lattices. For the well-known…
Fei Zhang, Dennis J. Isbister, Denis J. EvansOct 18, 1999
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