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We consider the motion of an overdamped particle in a force field in presence of an external, adiabatic noise, without the restriction that the noise process is Gaussian or the stochastic process is Markovian. We examine the condition for…

Statistical Mechanics · Physics 2007-05-23 Suman Kumar Banik , Jyotipratim Ray Chaudhuri , Deb Shankar Ray

Thermally activated escape of an over-damped particle from a metastable well under the action of a time-ramped force is studied. We express the mean first passage time (MFPT) as the solution to a partial differential equation, which we…

Statistical Mechanics · Physics 2009-10-31 Julian Shillcock , Udo Seifert

We present a general geometrical approach to the problem of escape from a metastable state in the presence of noise. The accompanying analysis leads to a simple condition, based on the norm of the drift field, for determining whether…

Mathematical Physics · Physics 2016-01-20 Daniele Pinna , Andrew D. Kent , Daniel L. Stein

Large entropy fluctuations in a nonequilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2-freedom model with the so-called Gauss time-reversible thermostat. The local fluctuations (on a…

Chaotic Dynamics · Physics 2009-10-31 Boris Chirikov

We study spontaneous quantum coherence in an out of equilibrium system, coupled to multiple baths describing pumping and decay. For a range of parameters describing coupling to, and occupation of the baths, a stable steady-state condensed…

Superconductivity · Physics 2007-05-23 M. H. Szymanska , J. Keeling , P. B. Littlewood

Various notions of fluctuations exist depending on the way one chooses to measure them. We discuss two extreme cases (continuous measurement versus long inter-measurement times) and we see their relation with entropy production and with…

Statistical Mechanics · Physics 2009-11-05 C. Maes , K. Netocny

We consider a system-reservoir model where the reservoir is modulated by an external noise. Both the internal noise of the reservoir and the external noise are stationary, Gaussian and are characterized by arbitrary decaying correlation…

Statistical Mechanics · Physics 2009-11-07 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Bidhan Chandra Bag , Deb Shankar Ray

Escape from a potential well is an extreme example of transient behavior. We consider the escape of the harmonically forced particle under viscous damping from the benchmark truncated weakly nonlinear potential well. Main attention is paid…

Chaotic Dynamics · Physics 2019-10-22 Maor Farid , Oleg V. Gendelman

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work or entropy production in a steady state, it is in…

Statistical Mechanics · Physics 2022-08-22 Sreekanth K Manikandan , Biswajit Das , Raunak Dey , Avijit Kundu , Ayan Banerjee , Supriya Krishnamurthy

We study the speed of fluctuation of a quantum system around its thermodynamic equilibrium state, and show that the speed will be extremely small for almost all times in typical thermodynamic cases. The setting considered here is that of a…

Quantum Physics · Physics 2017-08-01 Noah Linden , Sandu Popescu , Anthony J Short , Andreas Winter

Suppose a two-dimensional dynamical system has a stable attractor that is surrounded by an unstable limit cycle. If the system is additively perturbed by white noise, the rate of escape through the limit cycle will fall off exponentially as…

Condensed Matter · Physics 2007-05-23 Robert S. Maier , Daniel L. Stein

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

We study the connection between transport phenomenon and escape rate statistics in two-dimensional standard map. For the purpose of having an open phase space, we let the momentum co-ordinate vary freely and restrict only angle with…

Statistical Mechanics · Physics 2020-10-07 L. Lugosi , T. Kovács

We measure the energy fluctuations of a Brownian particle confined by an optical trap in an aging gelatin after a very fast quench (less than 1 ms). The strong nonequilibrium fluctuations due to the assemblage of the gel, are interpreted,…

Statistical Mechanics · Physics 2011-04-13 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto

We consider a general N-degree-of-freedom dissipative system which admits of chaotic behaviour. Based on a Fokker-Planck description associated with the dynamics we establish that the drift and the diffusion coefficients can be related…

Chaotic Dynamics · Physics 2009-10-31 Bidhan Chandra Bag , Deb Shankar Ray

In this article we present an experimental study of the statistical properties for the injected power fluctuations of a dissipative system as a function of external environmental conditions. A Brownian motion analog is implemented using a…

Statistical Mechanics · Physics 2021-09-16 José A. Ogalde , Claudio B. Falcón , Marcos A. Díaz

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

Based on the system-reservoir description we propose a simple solvable microscopic model for a nonequilibrium bath. This captures the essential features of a nonstationary quantum Markov process. We establish an appropriate generalization…

Driven-dissipative quantum systems can recover stable dynamical attractors in the semiclassical limit, including coexisting limit cycles. At finite fluctuation strength, this classical coexistence becomes quantum metastability: the…

Quantum Physics · Physics 2026-05-26 Caroline Nowoczyn , Ludwig Mathey , Kilian Seibold

We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Xu-Min Chen , Chen Wang , Ke-Wei Sun