The 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.

8 pages, 5 figures

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• Extremal statistics of a one dimensional run and tumble particle with an absorbing wall
• Entropy production of active particles in underdamped regime
• Exact solution of a boundary tumbling particle system in one dimension
• Statistical mechanics of passive Brownian particles in a fluctuating harmonic trap
• Kinetic temperature and pressure of an active Tonks gas
• Inhomogeneous entropy production in active crystals with point imperfections
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Kuramoto model with run-and-tumble dynamics
• Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation
• Run-and-tumble particles in slit geometry as a splitting probability problem
• Local entropy production rate of run-and-tumble particles