Heat and work distributions for mixed Gauss-Cauchy process
| Autor: | Łukasz Kuśmierz, J Miguel Rubi, Ewa Gudowska-Nowak |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Statistics and Probability
Physics Statistical Mechanics (cond-mat.stat-mech) Stochastic process Gauss Work (physics) FOS: Physical sciences Non-equilibrium thermodynamics Statistical and Nonlinear Physics Dissipation Stability (probability) Cauchy process transport processes / heat transfer (theory) Drag stochastic processes Statistical physics Statistics Probability and Uncertainty Condensed Matter - Statistical Mechanics fluctuations (theory) |
| Popis: | Marian Smoluchowski Institute of Physics, and Mark Kac Center for Complex Systems Research,Jagellonian University, ul. Reymonta 4, 30{059 Krak ow, Poland(Dated: October 16, 2013)We analyze energetics of a non-Gaussian process described by a stochastic di erential equationof the Langevin type. The process represents a paradigmatic model of a nonequilibrium systemsubject to thermal uctuations and additional external noise, with both sources of perturbationsconsidered as additive and statistically independent forcings. We de ne thermodynamic quantitiesfor trajectories of the process and analyze contributions to mechanical work and heat. As a workingexample we consider a particle subjected to a drag force and two independent L evy white noiseswith stability indices = 2 and = 1. The uctuations of dissipated energy (heat) and distributionof work performed by the force acting on the system are addressed by examining contributions ofCauchy uctuations to either bath or external force acting on the system. |
| Databáze: | OpenAIRE |
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