Entropy Production of Run-and-Tumble Particles

• Published in: Entropy (Basel, Switzerland) Vol. 26; no. 6; p. 443
• Main Authors: Paoluzzi, Matteo, Puglisi, Andrea, Angelani, Luca
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 24-05-2024; MDPI
• Subjects: active matter; Entropy; Entropy (Physics); entropy production; Equilibrium; exact results; Fokker-Planck equation; Motility; non-equilibrium; run-and-tumble motion; Statistical physics; Stochastic models; Thermodynamics; Italy; entropy production; active matter; non-equilibrium; exact results; run-and-tumble motion
• ISSN: 1099-4300; 1099-4300
• DOI: 10.3390/e26060443

We analyze the entropy production in run-and-tumble models. After presenting the general formalism in the framework of the Fokker-Planck equations in one space dimension, we derive some known exact results in simple physical situations (free run-and-tumble particles and harmonic confinement). We then extend the calculation to the case of anisotropic motion (different speeds and tumbling rates for right- and left-oriented particles), obtaining exact expressions of the entropy production rate. We conclude by discussing the general case of heterogeneous run-and-tumble motion described by space-dependent parameters and extending the analysis to the case of
-dimensional motions.