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Thermodynamics is a well developed tool to study systems in equilibrium but no such general framework is available for non-equilibrium processes. Only hope for a quantitative description is to fall back upon the equilibrium language as…

Statistical Mechanics · Physics 2015-05-14 Poulomi Sadhukhan , Somendra M. Bhattacharjee

Linear diffusions are used to model a large number of stochastic processes in physics, including small mechanical and electrical systems perturbed by thermal noise, as well as Brownian particles controlled by electrical and optical forces.…

Statistical Mechanics · Physics 2023-05-10 Johan du Buisson , Hugo Touchette

A living non-Newtonian matter like the cell cortex and tissues are driven out-of-equilibrium at multiple spatial and temporal scales. The stochastic dynamics of a particle embedded in such a medium are non-Markovian, given by a generalized…

Biological Physics · Physics 2020-06-30 Amit Singh Vishen

To describe the spatial trajectory of an overdamped Brownian particle, inertial effects can be neglected. Yet, at the energetic level of stochastic thermodynamics, changes in kinetic energy must be considered to accurately predict the heat…

Statistical Mechanics · Physics 2024-08-30 Pedro V. Paraguassú , Rui Aquino , Pablo de Castro

Equilibrium is characterized by its fundamental properties such as the detailed balance, the fluctuation-dissipation relation, and no heat dissipation. Based on the stochastic thermodynamics, we show that these three properties are…

Statistical Mechanics · Physics 2017-08-23 Hyun Keun Lee , Sourabh Lahiri , Hyunggyu Park

We propose a computational procedure for identifying convection in heat transfer dynamics. The procedure is based on a Gaussian process latent force model, consisting of a white-box component (i.e., known physics) for the conduction and…

Systems and Control · Electrical Eng. & Systems 2024-07-10 Wouter M. Kouw , Caspar Gruijthuijsen , Lennart Blanken , Enzo Evers , Timothy Rogers

Motivated by stochastic models of climate phenomena, the steady-state of a linear stochastic model with additive Gaussian white noise is studied. Fluctuation theorems for nonequilibrium steady-states provide a constraint on the character of…

Statistical Mechanics · Physics 2008-01-04 Jeffrey B. Weiss

When two isolated system are brought in contact, they relax to equilibrium via energy exchange. In another setting, when one of the systems is driven and the other is large, the first system reaches a steady-state which is not described by…

Statistical Mechanics · Physics 2015-09-10 Guy Bunin , Yariv Kafri

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

Numerical simulation of stochastic dynamics of vortex filaments under action of random (Langevin) force is fulfilled. Calculations are performed on base of the full Biot--Savart law for different intensities of the Langevin force. A new…

Statistical Mechanics · Physics 2008-10-06 Luiza P. Kondaurova , Sergey K. Nemirovskii

In the context of nonequilibrium quantum thermodynamics, variables like work behave stochastically. A particular definition of the work probability density function (pdf) for coherent quantum processes allows the verification of the quantum…

Langevin equations for the self-thermophoretic dynamics of Janus motors partially coated with an absorbing layer that is heated by a radiation field are presented. The derivation of these equations is based on fluctuating hydrodynamics and…

Statistical Mechanics · Physics 2019-07-24 Pierre Gaspard , Raymond Kapral

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Shin-ichi Sasa

We study the stochastic motion of an intruder in a dilute driven granular gas. All particles are coupled to a thermostat, representing the external energy source, which is the sum of random forces and a viscous drag. The dynamics of the…

Statistical Mechanics · Physics 2010-04-27 Alessandro Sarracino , Dario Villamaina , Giulio Costantini , Andrea Puglisi

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

Statistical Mechanics · Physics 2015-06-03 Richard E. Spinney , Ian J. Ford

We formulate the stochastic differential equations for non-linear hydrodynamic fluctuations. The equations incorporate the random forces through a random stress tensor and random heat flux as in the Landau and Lifshitz theory. However, the…

Statistical Mechanics · Physics 2015-06-25 Pep Español

We identify the conditions under which a stochastic driving inducing energy changes on a system coupled to a thermal bath can be treated as a work source. When these conditions are met, the work statistics satisfies the Crooks fluctuation…

Statistical Mechanics · Physics 2015-06-18 Gatien Verley , Christian Van den Broeck , Massimiliano Esposito

The dynamics of a linear system embedded in a heat bath environment and subject to non- Gaussian noise is studied. Higher order cumulants in coordinate space are derived and their impact on the dynamics and on asymptotic steady state…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 Maximilian Köpke , Joachim Ankerhold

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

Statistical Mechanics · Physics 2015-06-19 A. E. Allahverdyan

We present a review of recent work on the statistical mechanics of non equilibrium processes based on the analysis of large deviations properties of microscopic systems. Stochastic lattice gases are non trivial models of such phenomena and…

Probability · Mathematics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim
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