Arcsine Laws in Stochastic Thermodynamics

Physical Review Letters
Andre C BaratoSimone Pigolotti

Abstract

We show that the fraction of time that a thermodynamic current spends above its average value follows the arcsine law, a prominent result obtained by Lévy for Brownian motion. Stochastic currents with long streaks above or below their average are much more likely than those that spend similar fractions of time above and below their average. Our result is confirmed with experimental data from a Brownian Carnot engine. We also conjecture that two other random times associated with currents obey the arcsine law: the time a current reaches its maximum value and the last time a current crosses its average value. These results apply to, inter alia, molecular motors, quantum dots, and colloidal systems.

References

Jul 4, 1994·Physical Review Letters·Y V Nazarov
Apr 3, 1995·Physical Review Letters·G Gallavotti, E G Cohen
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G E Crooks
Aug 8, 2009·Physical Review Letters·Marco BaiesiBram Wynants
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Mejía-MonasterioG Schehr
Nov 22, 2012·Reports on Progress in Physics·Udo Seifert
Sep 16, 2014·Nature Communications·Gatien VerleyChristian Van den Broeck
Feb 24, 2015·Physical Review Letters·M PolettiniM Esposito
Apr 11, 2015·Physical Review Letters·Ignacio A MartínezRaúl A Rica
May 2, 2015·Physical Review Letters·Andre C Barato, Udo Seifert
Sep 9, 2015·Chemical Reviews·Sundus Erbas-CakmakAlina L Nussbaumer
Apr 9, 2016·Physical Review Letters·Todd R GingrichJeremy L England
Jun 15, 2016·Physical Review. E·Patrick PietzonkaUdo Seifert
Jun 23, 2016·Nature Physics·I A MartínezR A Rica
Aug 2, 2016·Soft Matter·Ignacio A MartínezRaúl A Rica
Oct 21, 2017·Physical Review Letters·Simone PigolottiFrank Jülicher
Feb 14, 2018·Physical Review Letters·Tridib SadhuKay Jörg Wiese

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Citations

Jun 25, 2020·Physical Review. E·Francesco MoriGrégory Schehr
Dec 7, 2019·Physical Review Letters·Francesco MoriGrégory Schehr
Oct 21, 2020·Physical Review. E·Takuma AkimotoKouji Yano

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