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We introduce a schematic non-linear diffusion model where density fluctuations induce a rich out of equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At…

Statistical Mechanics · Physics 2008-07-03 Federico Corberi , Mario Nicodemi , Marina Piccioni , Antonio Coniglio

The nonequilibrium Fokker-Planck dynamics with a non-conservative drift field, in dimension $N\geq 2$, can be related with the non-Hermitian quantum mechanics in a real scalar potential $V$ and in a purely imaginary vector potential -$iA$…

Statistical Mechanics · Physics 2024-05-31 P. Garbaczewski , M. Żaba

We calculate the radiation noise level associated with the spontaneous emission of a coherently driven medium. The significant field-induced modification of relation between the noise power and damping constant in a thermal reservoir is…

Quantum Physics · Physics 2016-04-13 Maria Erukhimova , Mikhail Tokman

We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary…

Statistical Mechanics · Physics 2013-05-30 G. Gradenigo , U. Marini Bettolo Marconi , A. Puglisi , A. Sarracino

We compare two approaches to nonequilibrium thermodynamics, the two-generator bracket formulation of time-evolution equations for averages and the macroscopic fluctuation theory, for an isothermal driven diffusive system under steady state…

Statistical Mechanics · Physics 2010-11-10 Hans Christian Ottinger

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

Quantum Physics · Physics 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

Maintained by environmental fluxes, biological systems are thermodynamic processes that operate far from equilibrium without detailed-balance dynamics. Yet, they often exhibit well defined nonequilibrium steady states (NESSs). More…

Statistical Mechanics · Physics 2017-08-02 P. M. Riechers , J. P. Crutchfield

We study non-normalizable quasi-equilibrium states (NNQE) arising from anomalous diffusion. Initially, particles in contact with a thermal bath are released from an asymptotically flat potential well, with dynamics that is described by…

Statistical Mechanics · Physics 2023-08-24 Lucianno Defaveri , Maike A. F. dos Santos , David A. Kessler , Eli Barkai , Celia Anteneodo

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

Statistical Mechanics · Physics 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Long-range thermal fluctuations appear in fluids in nonequilibrium states leading to fluctuation-induced Casimir-like forces. Two distinct mechanisms have been identified for the origin of the long-range nonequilibrium fluctuations in…

Statistical Mechanics · Physics 2016-02-03 T. R. Kirkpatrick , J. M. Ortiz de Zárate , J. V. Sengers

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

Statistical Mechanics · Physics 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

The fluctuation in electric current in nonequilibrium steady states is investigated by molecular dynamics simulation of macroscopically uniform conductors. At low frequencies, appropriate decomposition of the spectral intensity of current…

Statistical Mechanics · Physics 2015-05-13 Tatsuro Yuge , Akira Shimizu

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

I present the Floquet scattering matrix theory of low-frequency heat fluctuations in driven multi-terminal quantum-coherent conductors in the linear response regime and beyond. The intrinsic fluctuations of energy of dynamically excited…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Michael Moskalets

Understanding the physics of non-equilibrium systems remains as one of the major open questions in statistical physics. This problem can be partially handled by investigating macroscopic fluctuations of key magnitudes that characterise the…

Soft Condensed Matter · Physics 2016-11-17 A. Lasanta , Pablo I. Hurtado , A. Prados

Energy dynamics calculations in a 3D fluid simulation of drift wave turbulence in the linear Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] illuminate processes that drive and dissipate the turbulence.…

Plasma Physics · Physics 2013-01-07 B. Friedman , T. A. Carter , M. V. Umansky , D. Schaffner , B. Dudson

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

A simple expression for the non-equilibrium distribution function in ultra-fast transient processes is proposed. Postulating its dependence on temporal derivatives of the equilibrium integrals of motion, non-equilibrium analogues of the…

Statistical Mechanics · Physics 2025-02-18 K. S. Glavatskiy

This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of thermalization, and the justification of…

Statistical Mechanics · Physics 2011-05-31 Haye Hinrichsen , Christian Gogolin , Peter Janotta