Fluctuations of entropy production of a run-and-tumble particle

Abstract

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise, fluctuations of entropy production are significant. Hitherto, mean and variance have been abundantly studied, even if higher moments might be important to fully characterize the system of interest. Here, we introduce a graphical method to compute any moment of entropy production for a generic discrete-state system. Then, we focus on a paradigmatic model of active particles, i.e., run-and-tumble dynamics, which resembles the motion observed in several microorganisms. Employing our framework, we compute the first three cumulants of the entropy production for a discrete version of this model. We also compare our analytical results with numerical simulations. We find that as the number of states increases, the distribution of entropy production deviates from a Gaussian. Finally, we extend our framework to a continuous state-space run-and-tumble model, using an appropriate scaling of the transition rates. The approach here presented might help uncover the features of non-equilibrium fluctuations of any current in biological systems operating out-of-equilibrium.

13 pages, 6 figures

References in corpus (33)

• Thermodynamic uncertainty relation for biomolecular processes
• Active matter
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Fluctuations and response of nonequilibrium states
• Activity-induced phase separation and self-assembly in mixtures of active and passive particles
• An Extension of the Fluctuation Theorem
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Nonequilibrium Physics in Biology
• The unlikely Carnot efficiency
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Integral fluctuation theorem for the housekeeping heat
• Work fluctuation theorems for harmonic oscillators
• An update on nonequilibrium linear response
• Work fluctuations for a Brownian particle between two thermostats
• Measurement of Stochastic Entropy Production
• Improved bounds on entropy production in living systems
• Run-and-Tumble Dynamics of Self-Propelled Particles in Confinement
• Estimating entropy production from waiting time distributions
• Local detailed balance
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Large deviations of heat flow in harmonic chains
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Estimating time-dependent entropy production from non-equilibrium trajectories
• Heat and work fluctuations for a harmonic oscillator
• The entropy production of an active particle in a box
• Quantitative analysis of non-equilibrium systems from short-time experimental data
• Entropy production at criticality in a nonequilibrium Potts model
• Heat fluctuations in a harmonic chain of active particles
• Steady state entropy production rate for scalar Langevin field theories
• Thermodynamic uncertainty for run-and-tumble type processes
• Hyperaccurate bounds in discrete-state Markovian systems
• Inferring entropy production in anharmonic Brownian gyrators
• Entropy production in systems with random transition rates

Cited by in corpus (9)

• Thermodynamic cost for precision of general counting observables
• Thermodynamics of active matter: Tracking dissipation across scales
• Methods and Conversations in (Post)Modern Thermodynamics
• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Thermodynamically consistent model of an active Ornstein-Uhlenbeck particle
• Perspective: Time irreversibility in systems observed at coarse resolution
• Optimal run-and-tumble in slit-like confinement
• Run-and-tumble particles in slit geometry as a splitting probability problem
• Thermodynamic uncertainty relation for systems with active Ornstein-Uhlenbeck particles