Entropy production of an active particle in a box
- Creators
- Razin, Nitzan
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
Files
Additional details
- Eprint ID
- 105590
- Resolver ID
- CaltechAUTHORS:20200928-135818005
- Created
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2020-09-28Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field