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Entropy production of an active particle in a box

Razin, Nitzan (2020) Entropy production of an active particle in a box. Physical Review E, 102 (3). Art. No. 030103. ISSN 2470-0045. https://resolver.caltech.edu/CaltechAUTHORS:20200928-135818005

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Abstract

A run-and-tumble particle in a one-dimensional box (infinite potential well) is studied. The steady state is analytically solved and analyzed, revealing the emergent length scale of the boundary layer where particles accumulate near the walls. The mesoscopic steady state entropy production rate of the system is derived from coupled Fokker-Planck equations with a linear reaction term, resulting in an exact analytic expression. The entropy production density is shown to peak at the walls. Additionally, the derivative of the entropy production rate peaks at a system size proportional to the length scale of the accumulation boundary layer, suggesting that the behavior of the entropy production rate and its derivatives as a function of the control parameter may signify a qualitative behavior change in the physics of active systems, such as phase transitions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physreve.102.030103DOIArticle
https://arxiv.org/abs/2008.08088arXivDiscussion Paper
ORCID:
AuthorORCID
Razin, Nitzan0000-0001-7571-5658
Additional Information:© 2020 American Physical Society. Received 18 August 2020; accepted 9 September 2020; published 28 September 2020. I thank Raphael Voituriez, David Van Valen, and Rob Phillips for useful discussions, and Yuval Baum for a critical reading of the manuscript.
Issue or Number:3
Record Number:CaltechAUTHORS:20200928-135818005
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200928-135818005
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105590
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Sep 2020 21:07
Last Modified:28 Sep 2020 21:07

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