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We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

无序系统与神经网络 · 物理学 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

We extend a Gaussian model for the internal electrical potential of a two-dimensional Coulomb gas by a non-Gaussian measure term, which singles out the physically relevant configurations of the potential. The resulting Hamiltonian,…

统计力学 · 物理学 2008-11-26 Georg Foltin

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

量子气体 · 物理学 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

Understanding the emergence of chaos in many-body quantum systems away from semi-classical limits, particularly in spatially local interacting spin Hamiltonians, has been a long-standing problem. In these intrinsically quantum regimes,…

We consider a classical dipole gas in with low activity and show that the pressure has a limit as the volume goes to infinity. The result is obtained by a renormalization group analysis of the model.

数学物理 · 物理学 2015-05-13 J. Dimock

Using the gauge/gravity duality we study the imaginary part of the static potential associated to the thermal width in finite temperature strongly coupled anisotropic plasma. We firstly derive the potential for a generic anisotropic…

高能物理 - 理论 · 物理学 2013-12-03 Kazem Bitaghsir Fadafan , Dimitrios Giataganas , Hesam Soltanpanahi

We present a consistent thermodynamic theory for the resonant level model in the wide band limit, whose level energy is driven slowly by an external force. The problem of defining 'system' and 'bath' in the strong coupling regime is…

介观与纳米尺度物理 · 物理学 2017-05-05 Anton Bruch , Mark Thomas , Silvia Viola Kusminskiy , Felix von Oppen , Abraham Nitzan

We consider an ordinary differential equation with a unique hyperbolic attractor at the origin, to which we add a small random perturbation. It is known that under general conditions, the solution of this stochastic differential equation…

概率论 · 数学 2023-05-05 Gerardo Barrera , Milton Jara

We introduce a new microcanonical dynamics for a large class of Ising systems isolated or maintained out of equilibrium by contact with thermostats at different temperatures. Such a dynamics is very general and can be used in a wide range…

统计力学 · 物理学 2009-07-28 Elena Agliari , Mario Casartelli , Alessandro Vezzani

High temperature virial expansion is a powerful tool in equilibrium statistical mechanics. In this letter we generalize the high temperature virial expansion approach to treat far-from-equilibrium quench dynamics. As an application of our…

量子气体 · 物理学 2020-09-16 Mingyuan Sun , Peng Zhang , Hui Zhai

The effect of quenched disorder on the underdamped motion of a periodically driven particle on a ratchet potential is studied. As a consequence of disorder, current reversal and chaotic diffusion may take place on regular trajectories. On…

凝聚态物理 · 物理学 2016-08-31 C. M. Arizmendi , Fereydoon Family , A. L. Salas-Brito

Systems of a large number N of globally coupled maps have become popular as a relatively simple prototype of high-dimensional dynamics, showing many interesting and typical phenomena like synchronisation, cluster formation and…

数据分析、统计与概率 · 物理学 2009-10-31 Andreas Hamm

It is shown that the use of a high power $\alpha$ of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid \textit{conservative} dynamics with a finite range of spatial Fourier modes.…

We establish a central limit theorem for the unnormalized linear statistic of the Gaussian Unitary Ensemble under optimal conditions: the linear statistics converges if and only if the expression for the limiting variance is finite.

概率论 · 数学 2015-10-14 Phil Kopel

An often used rule that the thermal correction to the self-energy is the thermal phase-space times the forward scattering amplitude from target particles is shown to be the leading term in an exact multiple scattering expansion. Starting…

高能物理 - 唯象学 · 物理学 2008-11-26 Sangyong Jeon , Paul J. Ellis

We prove a quenched functional central limit theorem for a one-dimensional random walk driven by a simple symmetric exclusion process. This model can be viewed as a special case of the random walk in a balanced random environment, for which…

概率论 · 数学 2021-07-20 Otávio Menezes , Jonathon Peterson , Yongjia Xie

We study causality constraints on black hole thermodynamics in nonlinear electrodynamics, where the Lagrangian is taken to be an arbitrary function of the electromagnetic field strength tensor. By requiring the absence of superluminal…

高能物理 - 理论 · 物理学 2025-05-30 Yoshihiko Abe , Maxime Médevielle , Toshifumi Noumi , Kaho Yoshimura

This paper is devoted to the homogenization of the heat conduction equation, with a homogeneous Dirichlet boundary condition, having a periodically oscillating thermal conductivity and a vanishing volumetric heat capacity. A homogenization…

偏微分方程分析 · 数学 2019-06-06 Tatiana Danielsson , Pernilla Johnsen

We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in this case there is a single site that accomodates a…

概率论 · 数学 2009-12-08 Inés Armendáriz , Michail Loulakis

We analyze the effect of a finite volume on the thermodynamic potentials of a relativistic quantum field theory defined on a hypertorus at vanishing chemical potential. Using the symmetries of the Euclidean partition function, we interpret…

高能物理 - 理论 · 物理学 2009-07-28 Harvey B. Meyer