Heat and work distributions for mixed Gauss–Cauchy process

2014
journal article
article
15
dc.abstract.enWe 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 $\alpha$ =2 and $\alpha$ =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 (\alpha = 1) to either bath or external force acting on the system.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorKuśmierz, Łukasz - 116321 pl
dc.contributor.authorRubi, J. Miguelpl
dc.contributor.authorGudowska-Nowak, Ewa - 128235 pl
dc.date.accessioned2015-06-25T14:52:23Z
dc.date.available2015-06-25T14:52:23Z
dc.date.issued2014pl
dc.description.number9pl
dc.description.publication1,5pl
dc.description.volume2014pl
dc.identifier.articleidP09002pl
dc.identifier.doi10.1088/1742-5468/2014/09/P09002pl
dc.identifier.eissn1742-5468pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/10400
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licencebez licencji
dc.rights.uri*
dc.subject.enfluctuations (theory)pl
dc.subject.enstochastic processespl
dc.subject.entransport processes / heat transfer (theory)pl
dc.subtypeArticlepl
dc.titleHeat and work distributions for mixed Gauss–Cauchy processpl
dc.title.journalJournal of Statistical Mechanicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
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 $\alpha$ =2 and $\alpha$ =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 (\alpha = 1) to either bath or external force acting on the system.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Kuśmierz, Łukasz - 116321
dc.contributor.authorpl
Rubi, J. Miguel
dc.contributor.authorpl
Gudowska-Nowak, Ewa - 128235
dc.date.accessioned
2015-06-25T14:52:23Z
dc.date.available
2015-06-25T14:52:23Z
dc.date.issuedpl
2014
dc.description.numberpl
9
dc.description.publicationpl
1,5
dc.description.volumepl
2014
dc.identifier.articleidpl
P09002
dc.identifier.doipl
10.1088/1742-5468/2014/09/P09002
dc.identifier.eissnpl
1742-5468
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/10400
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
bez licencji
dc.rights.uri*
dc.subject.enpl
fluctuations (theory)
dc.subject.enpl
stochastic processes
dc.subject.enpl
transport processes / heat transfer (theory)
dc.subtypepl
Article
dc.titlepl
Heat and work distributions for mixed Gauss–Cauchy process
dc.title.journalpl
Journal of Statistical Mechanics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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