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We investigate the stochastic behavior of a two-temperature Langevin system with non-Markovian thermal reservoirs. The model describes an overdamped Brownian particle in a quadratic potential and coupled to heat baths at different…

统计力学 · 物理学 2020-02-20 Eduardo dos S. Nascimento , Welles A. M. Morgado

We compute the quantum Langevin equation (or quantum stochastic differential equation) representing the action of a quantum heat bath at thermal equilibrium on a simple quantum system. These equations are obtained by taking the continuous…

数学物理 · 物理学 2007-05-23 S. Attal , A. Joye

For a wide class of stochastic athermal systems, we derive Langevin-like equations driven by non-Gaussian noise, starting from master equations and developing a new asymptotic expansion. We found an explicit condition whereby the…

统计力学 · 物理学 2015-03-10 Kiyoshi Kanazawa , Tomohiko G. Sano , Takahiro Sagawa , Hisao Hayakawa

We study a model of two interacting Hamiltonian particles subject to a common potential in contact with two Langevin heat reservoirs: one at finite and one at infinite temperature. This is a toy model for 'extreme' non-equilibrium…

概率论 · 数学 2015-05-13 Martin Hairer

We consider a one-dimensional harmonic crystal with conservative noise, in contact with two stochastic Langevin heat baths at different temperatures. The noise term consists of collisions between neighbouring oscillators that exchange their…

统计力学 · 物理学 2011-09-08 Stefano Lepri , Carlos Mejia-Monasterio , Antonio Politi

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

统计力学 · 物理学 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi

The Langevin equation greatly simplifies the mathematical expression of the effects of thermal noise by using only two terms, a dissipation term, and a random-noise term. The Langevin description was originally applied to a system in…

统计力学 · 物理学 2018-06-27 Jae Sung Lee , Hyunggyu Park

We consider the effects of memory on the stationary behavior of a two-dimensional Langevin dynamics in a confining potential. The system is treated in an overdamped approximation and the degrees of freedom are under the influence of…

统计力学 · 物理学 2020-01-29 Eduardo dos S. Nascimento , Welles A. M. Morgado

A system-reservoir nonlinear coupling model has been proposed for a situation where the reservoir is nonlinearly driven by an external Gaussian stationary noise which exposes the system particles to a nonequilibrium environment. Apart from…

The Langevin equation is ubiquitously employed to numerically simulate plasmas, colloids and electrolytes. However, the usual assumption of white noise becomes untenable when the system is subject to an external AC electric field. This is…

等离子体物理 · 物理学 2025-01-07 Daniele Gamba , Bingyu Cui , Alessio Zaccone

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

高能物理 - 理论 · 物理学 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional…

统计力学 · 物理学 2015-06-16 L. Kusmierz , J. M. Rubi , E. Gudowska-Nowak

We consider the stochastic dynamics of a system linearly coupled to a hierarchical thermal bath with two well-separated inherent timescales: one slow, and one fast. The slow part of the bath is modeled as a set of harmonic oscillators and…

统计力学 · 物理学 2019-06-05 A. V. Plyukhin

A Langevin canonical framework for a chiral two--level system coupled to a bath of harmonic oscillators is developed within a coupling scheme different to the well known spin-boson model. Thermal equilibrium values are reached at asymptotic…

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

统计力学 · 物理学 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

量子物理 · 物理学 2011-07-05 D. M. Valente , A. O. Caldeira

Stochastic Langevin dynamics has been traditionally used as a tool to describe non-equilibrium processes. When utilized in systems with collective modes, traditional Langevin dynamics relaxes all modes indiscriminately, regardless of their…

统计力学 · 物理学 2018-06-06 A. Tamm , M. Caro , A. Caro , G. Samolyuk , M. Klintenberg , A. A. Correa

Through an exact analysis using quantum Langevin dynamics, we demonstrate the crossover from ballistic to diffusive thermal transport in a harmonic chain with each site connected to Ohmic heat reservoirs. The temperatures of the two heat…

统计力学 · 物理学 2009-11-13 Dibyendu Roy

We consider a system consisting of two interacting classical particles, each one subject to an on-site potential and to a Langevin thermal bath. We analytically calculate the heat current that can be established through the system when the…

统计力学 · 物理学 2021-07-14 Lucianno Defaveri , Celia Anteneodo

We present a simple derivation of the stochastic equation obeyed by the density function for a system of Langevin processes interacting via a pairwise potential. The resulting equation is considerably different from the phenomenological…

凝聚态物理 · 物理学 2009-10-28 David S. Dean
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