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We revisit the problem of the overdamped (large friction) limit of the Brownian dynamics in an inhomogeneous medium characterized by a position-dependent friction coefficient and a multiplicative noise (local temperature) in one space…

统计力学 · 物理学 2015-06-24 Xavier Durang , Chulan Kwon , Hyunggyu Park

We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equation with Dirichlet boundary conditions, while the…

概率论 · 数学 2026-03-30 Cedric Bernardin , Patricia Gonçalves , João Pedro Mangi

Understanding the thermodynamics of driven quantum systems strongly coupled to thermal baths is a central focus of quantum thermodynamics and mesoscopic physics. A variety of different methodological approaches exist in the literature, all…

量子物理 · 物理学 2024-08-29 Artur M. Lacerda , Archak Purkayastha , Michael Kewming , Gabriel T. Landi , John Goold

We present an analytical framework to study the escape rate from a metastable state under the influence of two external multiplicative cross-correlated noise processes. Starting from a phenomenological stationary Langevin description with…

软凝聚态物质 · 物理学 2008-04-17 Jyotipratim Ray Chaudhuri , Sudip Chattopadhyay , Suman Kumar Banik

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

统计力学 · 物理学 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

We have studied dynamical responses and the Jarzynski equality (JE) of classical open systems described by the generalized Caldeira-Leggett model with the nonlocal system-bath coupling. In the derived non-Markovian Langevin equation, the…

统计力学 · 物理学 2015-05-30 Hideo Hasegawa

In the present paper a simple dynamical model for computing the osmotically driven fluid flow in a variety of complex, non equilibrium situations is derived from first principles. Using the Oberbeck-Boussinesq approximation, the basic…

流体动力学 · 物理学 2014-06-06 Stephan I. Tzenov

Assigning the variations of internal energy into heat or work contributions is a challenging task due to the fact that these properties are trajectory dependent. A number of proposals have been put forward for open quantum systems following…

量子物理 · 物理学 2021-09-01 Adrián Juan-Delgado , Aurélia Chenu

We present in detail a Langevin formalism for constructing stochastic dynamical equations for active-matter systems coupled to a thermal bath. We apply the formalism to clarify issues of principle regarding the sources and signatures of…

软凝聚态物质 · 物理学 2018-12-26 Lokrshi Prawar Dadhichi , Ananyo Maitra , Sriram Ramaswamy

Microscopic theory of Brownian motion of a particle of mass $M$ in a bath of molecules of mass $m\ll M$ is considered beyond lowest order in the mass ratio $m/M$. The corresponding Langevin equation contains nonlinear corrections to the…

统计力学 · 物理学 2010-01-22 A. V. Plyukhin

The discrete Boltzmann equation for both the ideal and a non-ideal fluid is extended by adding Langevin noise terms in order to incorporate the effects of thermal fluctuations. After casting the fluctuating discrete Boltzmann equation in a…

计算物理 · 物理学 2011-04-01 M. Gross , M. E. Cates , F. Varnik , R. Adhikari

In this paper, the first microscopic approach to the Brownian motion is developed in the case where the mass density of the suspending bath is of the same order of magnitude as that of the Brownian (B) particle. Starting from an extended…

凝聚态物理 · 物理学 2009-10-28 Lydéric Bocquet , Jarosław Piasecki

Using the recently developed covariant Ito-Langevin dynamics, we develop a non-equilibrium thermodynamic theory for small systems coupled to multiplicative noises. The theory is based on Ito-calculus, and is fully covariant under…

统计力学 · 物理学 2022-08-16 Mingnan Ding , Xiangjun Xing

By introducing a new stochastic integral, we investigate the energetics of classical stochastic systems driven by non-Gaussian white noises. In particular, we introduce a decomposition of the total-energy difference into the work and the…

统计力学 · 物理学 2012-05-23 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · 物理学 2009-10-31 C. Wagner , R. Klages , G. Nicolis

We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the scheme of non-equilibrium thermodynamics in phase space, we obtain the Fokker-Planck equation which is compared with others derived from kinetic…

统计力学 · 物理学 2016-08-16 I. Santamaría-Holek , D. Reguera , J. M. Rubí

Ferrofluid heating by an external alternating field is studied based on the rigid dipole model, where the magnetization of each particle in a fluid is supposed to be firmly fixed in the crystal lattice. Equations of motion, employing the…

介观与纳米尺度物理 · 物理学 2018-05-23 T. V. Lyutyy , V. V. Reva

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

统计力学 · 物理学 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

We study heat conduction in a harmonic crystal whose bulk dynamics is supplemented by random reversals (flips) of the velocity of each particle at a rate $\lambda$. The system is maintained in a nonequilibrium stationary state(NESS) by…

统计力学 · 物理学 2011-02-17 Abhishek Dhar , Joel Lebowitz , Venkateshan Kannan

We investigate the occurrence of heat leakages in overdamped Brownian harmonic systems. We exactly compute the underdamped and overdamped stochastic heats exchanged with the bath for a sudden frequency or temperature switch. We show that…

统计力学 · 物理学 2018-02-28 Dominic Arold , Andreas Dechant , Eric Lutz