By employing a path integral formulation, we obtain the entropy production rate for a system of active Ornstein–Uhlenbeck particles (AOUP) both in the presence and in the absence of thermal noise. The present treatment clarifies some contraddictions concerning the definition of the entropy production rate in the AOUP model, recently appeared in the literature. We derive explicit formulas for three different cases: overdamped Brownian particle, AOUP with and without thermal noise. In addition, we show that it is not necessary to introduce additional hypotheses concerning the parity of auxiliary variables under time reversal transformation. Our results agree with those based on a previous mesoscopic approach.
The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations / Caprini, Lorenzo; Marini Bettolo Marconi, Umberto; Puglisi, Andrea; Vulpiani, Angelo. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2019:(2019), pp. 1-18. [10.1088/1742-5468/ab14dd]
The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations
Caprini Lorenzo;Puglisi Andrea;Vulpiani Angelo
2019
Abstract
By employing a path integral formulation, we obtain the entropy production rate for a system of active Ornstein–Uhlenbeck particles (AOUP) both in the presence and in the absence of thermal noise. The present treatment clarifies some contraddictions concerning the definition of the entropy production rate in the AOUP model, recently appeared in the literature. We derive explicit formulas for three different cases: overdamped Brownian particle, AOUP with and without thermal noise. In addition, we show that it is not necessary to introduce additional hypotheses concerning the parity of auxiliary variables under time reversal transformation. Our results agree with those based on a previous mesoscopic approach.File | Dimensione | Formato | |
---|---|---|---|
Caprini_The-entropy-production_2019.pdf
accesso aperto
Note: Articolo su rivista
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
798.3 kB
Formato
Adobe PDF
|
798.3 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.