Heat and work distributions for mixed Gauss-Cauchy process. Kuśmierz, Ł., Rubi, J., & Gudowska-Nowak, E. Journal of Statistical Mechanics: Theory and Experiment, 2014.
Heat and work distributions for mixed Gauss-Cauchy process [link]Paper  doi  abstract   bibtex   
We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional external noise, with both sources of perturbations considered as additive and statistically independent forcings. We define thermodynamic quantities for trajectories of the process and analyze contributions to mechanical work and heat. As a working example we consider a particle subjected to a drag force and two statistically independent Lévy white noises with stability indices α = 2 and α = 1. The fluctuations of dissipated energy (heat) and distribution of work performed by the force acting on the system are addressed by examining contributions of Cauchy fluctuations (α = 1) to either bath or external force acting on the system. © 2014 IOP Publishing Ltd and SISSA Medialab srl.
@ARTICLE{Kusmierz2014,
author={Kuśmierz, Ł. and Rubi, J.M. and Gudowska-Nowak, E.},
title={Heat and work distributions for mixed Gauss-Cauchy process},
journal={Journal of Statistical Mechanics: Theory and Experiment},
year={2014},
volume={2014},
number={9},
doi={10.1088/1742-5468/2014/09/P09002},
art_number={P09002},
url={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907494425&doi=10.1088%2f1742-5468%2f2014%2f09%2fP09002&partnerID=40&md5=7f4630a38d69c5f3c0082e67e775d523},
abstract={We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional external noise, with both sources of perturbations considered as additive and statistically independent forcings. We define thermodynamic quantities for trajectories of the process and analyze contributions to mechanical work and heat. As a working example we consider a particle subjected to a drag force and two statistically independent Lévy white noises with stability indices α = 2 and α = 1. The fluctuations of dissipated energy (heat) and distribution of work performed by the force acting on the system are addressed by examining contributions of Cauchy fluctuations (α = 1) to either bath or external force acting on the system. © 2014 IOP Publishing Ltd and SISSA Medialab srl.},
author_keywords={fluctuations (theory);  stochastic processes;  transport processes/heat transfer (theory)},
document_type={Article},
source={Scopus},
}

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