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Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of quasiparticles with the power-law hopping Hamiltonian $\propto…

无序系统与神经网络 · 物理学 2018-07-25 Paraj Titum , Victor L. Quito , Sergey V. Syzranov

The analysis of spatial extremes requires the joint modeling of a spatial process at a large number of stations and max-stable processes have been developed as a class of stochastic processes suitable for studying spatial extremes. Spatial…

统计方法学 · 统计学 2012-09-28 Soyoung Jeon , Richard L. Smith

We study the excitation spectrum of a family of transverse-field spin chain models with variable interaction range and arbitrary spin $S$, which in the case of $S=1/2$ interpolates between the Lipkin-Meshkov-Glick and the Ising model. For…

量子物理 · 物理学 2016-04-27 Manuel Gessner , Victor Manuel Bastidas , Tobias Brandes , Andreas Buchleitner

The quasipotential function allows for comprehension and prediction of the escape mechanisms from metastable states in nonlinear dynamical systems. This function acts as a natural extension of the potential function for non-gradient systems…

动力系统 · 数学 2026-01-26 Bo Lin , Pierpaolo Belardinelli

Experiments and numerical simulations show that the energy spectrum of the magnetohydrodynamic turbulence in the quasi-static limit deviates from Kolmogorov's $k^{-5/3}$ spectrum as the external magnetic field, or equivalently the…

流体动力学 · 物理学 2013-04-26 Mahendra K. Verma

We study statistical properties of the energy spectra of two-dimensional quasiperiodic tight-binding models. The multifractal nature of the eigenstates of these models is corroborated by the scaling of the participation numbers with the…

无序系统与神经网络 · 物理学 2007-05-23 Uwe Grimm , Rudolf A. Roemer , Michael Schreiber , Jian-Xin Zhong

We derive a geometrical expression of the excess entropy production for quasi-static transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The…

统计力学 · 物理学 2015-05-30 Takahiro Sagawa , Hisao Hayakawa

An infinite-range model of an elastic manifold pulled through a random potential by an applied force $F$ is analyzed focusing on inertial effects. When the inertial parameter, $M$, is small, there is a continuous depinning transition from a…

无序系统与神经网络 · 物理学 2009-10-31 J. M. Schwarz , Daniel S. Fisher

A process-theoretic approach to electrodynamics based on persistent Kac-type stochastic processes is developed. Finite-velocity stochastic propagation is taken as primary, while relativistic wave equations arise as emergent descriptions…

量子物理 · 物理学 2026-05-26 Partha Ghose

A spectroscopic method is applied to measure the inelastic quasi-particle relaxation rate in a disordered Fermi liquid. The quasi-particle relaxation rate, $\gamma$ is deduced from the magnitude of fluctuations in the local density of…

介观与纳米尺度物理 · 物理学 2009-10-31 T. Schmidt , P. König , E. McCann , Vladimir I. Fal'ko , R. J. Haug

Superexponential systems are characterized by a potential where dynamical degrees of freedom appear in both the base and the exponent of a power law. We explore the scattering dynamics of many-body systems governed by superexponential…

经典物理 · 物理学 2021-05-25 Peter Schmelcher

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

强关联电子 · 物理学 2009-11-11 Hiroaki Kusunose

We simulate the transition from amplified spontaneous emission (ASE) to lasing in random systems with varying degrees of mode overlap. This is accomplished by solving the stochastic Maxwell-Bloch equations with the finite-difference…

光学 · 物理学 2010-12-30 Jonathan Andreasen , Hui Cao

The present study is focused on the superscaling behavior of electron-nucleus cross sections in the region lying above the quasielastic peak, especially the region dominated by electroexcitation of the Delta. Non-quasielastic cross sections…

The power spectral density of an observable quantifies the amount of fluctuations at a given frequency and can reveal the influence of different timescales on the observable's dynamics. Here, we show that the spectral density in a…

统计力学 · 物理学 2023-06-02 Andreas Dechant

Maximum entropy (maxEnt) inference of state probabilities using state-dependent constraints is popular in the study of complex systems. In stochastic dynamical systems, the effect of state space topology and path-dependent constraints on…

统计力学 · 物理学 2015-10-28 Purushottam D. Dixit

The dynamics of individual colloidal particles in random potential energy landscapes were investigated experimentally and by Monte Carlo simulations. The value of the potential at each point in the two-dimensional energy landscape follows a…

With Monte Carlo simulations, the nonsteady dynamics properties of a domain wall have been systematically investigated for the thermally activated creep state under an alternating driving field. Taking the driven random-field Ising model in…

统计力学 · 物理学 2014-07-11 N. J. Zhou , B. Zheng

We investigate the charging energy level statistics of disordered interacting electrons in quantum dots by numerical calculations using the Hartree approximation. The aim is to obtain a global picture of the statistics as a function of…

无序系统与神经网络 · 物理学 2007-05-23 Chien-Yu Tsau , Diu Nghiem , Robert Joynt , J. Woods Halley

We investigate the energy landscape of the mixed even $p$-spin model with Ising spin configurations. We show that for any given energy level between zero and the maximal energy, with overwhelming probability there exist exponentially many…

概率论 · 数学 2018-11-07 Wei-Kuo Chen , Madeline Handschy , Gilad Lerman