Local entropy production rate of run-and-tumble particles
arXiv:2507.03615 · doi:10.1103/48cv-5vvb
Abstract
We study the local entropy production rate and the local entropy flow in active systems composed of non-interacting run-and-tumble particles in a thermal bath. After providing generic time-dependend expressions, we focus on the stationary regime. Remarkably, in this regime the two entropies are equal and depend only on the distribution function and its spatial derivatives. We discuss in details two case studies, relevant to real situations. First, we analyze the case of space dependent speed,describing photokinetic bacteria, cosidering two different shapes of the speed, piecewise constant and sinusoidal. Finally, we investigate the case of external force fields, focusing on harmonic and linear potentials, which allow analytical treatment. In all investigated cases, we compare exact and approximated analytical results with numerical simulations.
25 pages, 6 figures
References in corpus (25)
- Motility-Induced Phase Separation
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
- Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
- Sedimentation, trapping, and rectification of dilute bacteria
- Self-Starting Micromotors in a Bacterial Bath
- Entropy production of active particles and for particles in active baths
- Run-and-Tumble Dynamics of Self-Propelled Particles in Confinement
- Play. Pause. Rewind. Measuring local entropy production and extractable work in active matter
- Confined run-and-tumble swimmers in one dimension
- Variance Sum Rule for Entropy Production
- Clausius relation for active particles: what can we learn from fluctuations?
- Characterization and Control of the Run-and-Tumble Dynamics of {\it Escherichia Coli}
- Entropons as collective excitations in active solids
- The entropy production of an active particle in a box
- Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties
- Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries
- Quantitative characterization of run-and-tumble statistics in bulk bacterial suspensions
- Positing the problem of stationary distributions of active particles as third-order differential equation
- Optimal mean first-passage time of a run-and-tumble particle in a class of one-dimensional confining potentials
- Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
- Entropy production of run-and-tumble particles
- Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics
- Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation