Waiting for rare entropic fluctuations

Keiji Saitou, Abhishek Dhar

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Nonequilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically one looks at the probability distributions for entropic fluctuations of various sizes to occur in a fixed time interval. An important and natural question is to ask for the time one has to wait to see fluctuations of a desired size. We address this question by studying the first-passage time distribution (FPTD). We derive the general basic equation to get the FPTD for entropic variables. Based on this, the FPTD on entropy production in a driven colloidal particle in the ring geometry is illustrated. A general asymptotic form of the FPTD and integral fluctuation relation symmetry in terms of the first passages are found.

Original languageEnglish
Article number50004
JournalEPL
Volume114
Issue number5
DOIs
Publication statusPublished - 2016 Jun 1

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entropy
intervals
deviation
rings
symmetry
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Waiting for rare entropic fluctuations. / Saitou, Keiji; Dhar, Abhishek.

In: EPL, Vol. 114, No. 5, 50004, 01.06.2016.

Research output: Contribution to journalArticle

Saitou, Keiji ; Dhar, Abhishek. / Waiting for rare entropic fluctuations. In: EPL. 2016 ; Vol. 114, No. 5.
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