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We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

统计力学 · 物理学 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

We study the stochastic motion of a particle subject to spatially varying Lorentz force in the small-mass limit. The limiting procedure yields an additional drift term in the overdamped equation that cannot be obtained by simply setting…

软凝聚态物质 · 物理学 2019-09-04 Hidde Derk Vuijk , Joseph Michael Brader , Abhinav Sharma

We study a class of heat engines including Feynman's ratchet, which exhibits a directed motion of a particle in nonequilibrium steady states maintained by two heat baths. We measure heat transfer from each heat bath separately, and average…

统计力学 · 物理学 2007-05-23 Teruhisa S. Komatsu , Naoko Nakagawa

We review a family of models recently introduced to describe Brownian motors under the influence of Coulomb friction, or more general non-linear friction laws. It is known that, if the heat bath is modeled as the usual Langevin equation…

统计力学 · 物理学 2014-09-25 Alessandro Manacorda , Andrea Puglisi , Alessandro Sarracino

We study the properties of heat conduction induced by non-Gaussian noises from athermal environments. We find that new terms should be added to the conventional Fourier law and the fluctuation theorem for the heat current, where its average…

统计力学 · 物理学 2013-05-28 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

Anomalous diffusion is an established phenomenon but still a theoretical challenge in non-equilibrium statistical mechanics. Physical models are built incrementally, and the most recent and most general family is based on the fractional…

概率论 · 数学 2025-07-23 Christian Bender , Yana A. Butko , Mirko D'Ovidio , Gianni Pagnini

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 study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specific example we choose an interaction with cubic anharmonicity.…

软凝聚态物质 · 物理学 2009-11-07 Edward Arevalo , Franz G. Mertens , Yuri Gaididei , A. R. Bishop

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

统计力学 · 物理学 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

We investigate the fluctuation dynamics of a probe around a deterministic motion induced by interactions with driven particles. The latter constitute the nonequilibrium medium in which the probe is immersed and is modelled as overdamped…

统计力学 · 物理学 2017-01-03 Christian Maes , Stefano Steffenoni

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

统计力学 · 物理学 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

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…

In the thermodynamic limit, the time evolution of isolated long-range interacting systems is properly described by the Vlasov equation. This equation admits non-equilibrium dynamically stable stationary solutions characterized by a zero…

统计力学 · 物理学 2015-05-20 Pierre-Henri Chavanis , Fulvio Baldovin , Enzo Orlandini

Based on a variational expression for the steady-state entropy production rate in overdamped Langevin dynamics, we derive concrete upper bounds on the entropy production rate in various physical settings. For particles in a thermal…

统计力学 · 物理学 2023-10-30 Andreas Dechant

We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action…

概率论 · 数学 2022-11-14 Angèle Bouley , Claudio Landim

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

Statistical invariance of Wiener increments under SO(n) rotations provides a notion of gauge transformation of state-dependent Brownian motion. We show that the stochastic dynamics of non gauge-invariant systems is not unambiguously…

统计力学 · 物理学 2013-09-06 Matteo Polettini

We derive a generalized quantum Langevin equation and its fluctuation-dissipation relation describing the quantum dynamics of a tagged particle interacting with a medium (environment), where both the particle and the environment are driven…

量子物理 · 物理学 2025-07-11 Daniele Gamba , Bingyu Cui , Alessio Zaccone

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

统计力学 · 物理学 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

We analyze an isothermal Brownian motion of particle ensembles in the Smoluchowski approximation. Contrary to standard procedures, the environmental recoil effects associated with locally induced heat flows are not completely disregarded.…

量子物理 · 物理学 2007-05-23 P. Garbaczewski