Run-and-tumble motion: field theory and entropy production

Abstract

Run-and-tumble motion is an example of active motility where particles move at constant speed and change direction at random times. In this work we study run-and-tumble motion with diffusion in a harmonic potential in one dimension via a path integral approach. We derive a Doi-Peliti field theory and use it to calculate the entropy production and other observables in closed form. All our results are exact.

22 pages, 6 figures

References in corpus (15)

• 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
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
• Run-and-Tumble particles in Two-dimensions under Stochastic Resetting
• Exact Solution of Two Interacting Run-and-Tumble Random Walkers with Finite Tumble Duration
• Entropy production in exactly solvable systems
• The entropy production of an active particle in a box
• Survival probability of a run-and-tumble particle in the presence of a drift
• Run-and-Tumble particle in inhomogeneous media in one dimension
• Thermodynamic uncertainty for run-and-tumble type processes
• Extreme value statistics for branching run-and-tumble particles

Cited by in corpus (38)

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• Entropy production in exactly solvable systems
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• Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
• Nonequilibirum steady state for harmonically-confined active particles
• Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Modelling Active Non-Markovian Oscillations
• Positing the problem of stationary distributions of active particles as third-order differential equation
• Field Theory of Free Run and Tumble Particles in d Dimensions
• Extremal statistics of a one dimensional run and tumble particle with an absorbing wall
• Entropy production of active particles in underdamped regime
• Active Ising Models of Flocking: A Field-Theoretic Approach
• Optimal power extraction from active particles with hidden states
• The most probable path of Active Ornstein-Uhlenbeck particles
• Taxis of cargo-carrying microswimmers in traveling activity waves
• Noninteracting particles in a harmonic trap with a stochastically driven center
• Exact solution of a boundary tumbling particle system in one dimension
• Particle Entity in the Doi-Peliti and Response Field Formalisms
• Variance sum rule: proofs and solvable models
• From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
• Active particles in moving traps: minimum work protocols and information efficiency of work extraction
• Inhomogeneous entropy production in active crystals with point imperfections
• Towards a liquid-state theory for active matter
• Field theories and quantum methods for stochastic reaction-diffusion systems
• Fluctuation Dissipation Relations for Active Field Theories
• Anomalous random flights and time-fractional run-and-tumble equations
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Emergent Gauge Symmetry in Active Brownian Matter
• Run-and-tumble motion: the role of reversibility
• Field Theory of Active Brownian Particles with Dry Friction
• Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing
• Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation
• Exact Results in Stochastic Processes with Division, Death, and Diffusion: Spatial Correlations, Marginal Entropy Production, and Macroscopic Currents
• Long time behavior of run-and-tumble particles in two dimensions
• First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
• Local entropy production rate of run-and-tumble particles
• Universal framework for the long-time position distribution of free active particles