Skip to content

Mathematical Physics papers — page 226

math-phBrowse archive

Infinitesimal Rigidity of Strain Tensors for Shells with Mixed Type and its Applications
We derive an infinitesimal rigidity lemma for the strain tensor of surfaces with their curvatures changing sign. As an application, we obtain the optimal constant in the first Korn inequality scales…
Liang-Biao Chen, Peng-Fei YaoJun 24, 2022
Learn
Trace distance ergodicity for quantum Markov semigroups
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral decomposition of the…
Lorenzo Bertini, Alberto De Sole, Gustavo PostaJun 23, 2022
Learn
Hofstadter butterflies and metal/insulator transitions for moir\'e heterostructures
We consider a tight-binding model recently introduced by Timmel and Mele for strained moir\'e heterostructures. We consider two honeycomb lattices to which layer antisymmetric shear strain is applied…
Simon Becker, Lingrui Ge, Jens WittstenJun 23, 2022
Learn
Contact Lagrangian systems subject to impulsive constraints
We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the configuration space. In…
Leonardo J. Colombo, Manuel de León, Asier López-GordónJun 23, 2022
Learn
Geometry of the discrete time Euler top and related 3-dimensional birational maps
In this thesis we consider a discretization of the Euler top given by Hirota und Kimura. Using the geometric description of the conserved quantities as quadrics in real 3-space, we find that there…
Nina SmeenkJun 23, 2022
Learn
The finite gap method and the periodic Cauchy problem of 2+1 dimensional anomalous waves for the focusing Davey-Stewartson 2 equation
The focusing Nonlinear Schrödinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of 1+1 dimensional quasi monochromatic waves in weakly nonlinear media,…
P. G. Grinevich, P. M. SantiniJun 23, 2022
Learn
Some useful operators on differential forms in Galilean and Carrollian spacetimes
Differential forms on Lorentzian spacetimes is a well-established subject. On Galilean and Carrollian spacetimes it does not seem to be quite so. This may be due to the absence of Hodge star…
Marián FeckoJun 22, 2022
Learn
The Ground State Energy of a Two-Dimensional Bose Gas
We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit align* e2D(ρ) = 4πρ2 Y(1 -…
S. Fournais, T. Girardot, L. Junge et al.Jun 22, 2022
Learn
Dirac reductions and Classical W-algebras
In the first part of this paper, we generalize Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modify this reduction…
Gahng Sahn Lee, Arim Song, Uhi Rinn SuhJun 21, 2022
Learn
On Generalized WKB Expansion of Monodromy Generating Function
We study symplectic properties of the monodromy map of the Schr\"odinger equation on a Riemann surface with a meromorphic potential having second-order poles. At first, we discuss the conditions for…
Roman KlimovJun 21, 2022
Learn
Connes spectral distances, quantum discord and coherence of qubits
We construct spectral triples of one- and two-qubit states using the Hilbert-Schmidt operatorial formulation, and study the Connes spectral distances. We also construct the Dirac operator…
Bing-Sheng Lin, Zi-Hao Xu, Ji-Hong Wang et al.Jun 21, 2022
Learn
Spectra of generators of Markovian evolution in the thermodynamic limit: From non-Hermitian to full evolution via tridiagonal Laurent matrices
It is shown that generators of single-particle, translation-invariant Lindblad operators on the infinite line are unitarily equivalent to direct integrals of finite-range bi-infinite Laurent operator…
Frederik Ravn KlausenJun 20, 2022
Learn
Perturbation theory for nonlinear Schrodinger equations
Treating the nonlinear term of the Gross-Pitaevskii nonlinear Schrodinger equation as a perturbation of an isolated discrete eigenvalue of the linear problem one obtains a Rayleigh-Schrodinger power…
Andrea SacchettiJun 20, 2022
Learn
Galilean and Carrollian Hodge star operators
The standard Hodge star operator is naturally associated with metric tensor (and orientation). It is routinely used to concisely write down physics equations on, say, Lorentzian spacetimes. On…
Marián FeckoJun 20, 2022
Learn
Spectral branch points of the Bloch-Torrey operator
We investigate the peculiar feature of non-Hermitian operators, namely, the existence of spectral branch points (also known as exceptional or level crossing points), at which two (or many) eigenmodes…
Nicolas Moutal, Denis S. GrebenkovJun 20, 2022
Learn
Scaling Symmetries, Contact Reduction and Poincaré's dream
A symplectic Hamiltonian system admitting a scaling symmetry can be reduced to an equivalent contact Hamiltonian system in which some physically-irrelevant degree of freedom has been removed. As a…
Alessandro Bravetti, Connor Jackman, David SloanJun 20, 2022
Learn
Mobility estimation for Langevin dynamics using control variates
The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as the friction vanishes is not well understood for non-separable potentials. Theoretical results are lacking,…
G. A. Pavliotis, G. Stoltz, U. VaesJun 20, 2022
Learn
Kolmogorov algorithm for isochronous Hamiltonian systems
We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in `isochronous' Hamiltonian systems, i.e., systems with Hamiltonians of the…
Rita Mastroianni, Christos EfthymiopoulosJun 20, 2022
Learn
Sparse Random Block Matrices : universality
We study ensembles of sparse random block matrices generated from the adjacency matrix of a Erdös-Renyi random graph with N vertices of average degree Z, inserting a real symmetric d × d…
Giovanni M. Cicuta, Mario PerniciJun 19, 2022
Learn
Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by L\'evy processes: - L\'evy processes with continuous trajectories,…
Bertrand Duplantier, Yong Han, Chi Nguyen et al.Jun 18, 2022
Learn
(2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions
We study the problem of gravity surface waves for an ideal fluid model in the (2+1)-dimensional case. We apply a systematic procedure to derive the Boussinesq equations for a given relation between…
Anna Karczewska, Piotr RozmejJun 17, 2022
Learn
Singular cotangent models and complexity in fluids with dissipation
In this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a b-cotangent model. We provide physical interpretations of the singular…
Baptiste Coquinot, Pau Mir, Eva MirandaJun 17, 2022
Learn
Asymmetric transport computations in Dirac models of topological insulators
This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric…
Guillaume Bal, Jeremy G Hoskins, Zhongjian WangJun 17, 2022
Learn
Universality of the number variance in rotational invariant two-dimensional Coulomb gases
An exact map was established by Lacroix-A-Chez-Toine, Majumdar, and Schehr in [44] between the N complex eigenvalues of complex non-Hermitian random matrices from the Ginibre ensemble, and the…
Gernot Akemann, Sung-Soo Byun, Markus EbkeJun 17, 2022
Learn
Discrete orthogonal ensemble on the exponential lattices
Inspired by Aomoto's q-Selberg integral, the orthogonal ensemble in the exponential lattice is considered in this paper. By introducing a skew symmetric kernel, the configuration space of this…
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen et al.Jun 17, 2022
Learn
← PreviousPage 226Next →