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Published September 2020 | Published + Submitted + Supplemental Material
Journal Article Open

Entropy production of an active particle in a box

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.

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.

Attached Files

Published - PhysRevE.102.030103.pdf

Submitted - 2008.08088.pdf

Supplemental Material - SM-active_particle_in_a_box.pdf

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PhysRevE.102.030103.pdf
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Additional details

Created:
August 19, 2023
Modified:
October 20, 2023