Thermodynamic uncertainty for run-and-tumble type processes

Abstract

Thermodynamic uncertainty relations have emerged as universal bounds on current fluctuations in non-equilibrium systems. Here we derive a new bound for a particular class of run-and-tumble type processes using the mathematical framework of renewal-reward theory which can be applied to both Markovian and non-Markovian systems. We demonstrate the results for selected single-particle models as well as a variant of the asymmetric simple exclusion process with collective tumbles. Our bound is relatively tight for a broad parameter regime and only requires knowledge of the statistics of run lengths and the mean entropy production rate of tumbles.

7 pages, 7 figures. Dedicated to the memory of Christian Van den Broeck, To appear in EPL

References in corpus (33)

• The large deviation approach to statistical mechanics
• Thermodynamic uncertainty relation for biomolecular processes
• Diffusion with Stochastic Resetting
• Intermittent search strategies
• Dissipation bounds all steady-state current fluctuations
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Universal bounds on current fluctuations
• Finite-time generalization of the thermodynamic uncertainty relation
• Dynamical transition in the temporal relaxation of stochastic processes under resetting
• Discrete-time thermodynamic uncertainty relation
• Generic Properties of Stochastic Entropy Production
• Unravelling the large deviation statistics of Markovian open quantum systems
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Unified thermodynamic uncertainty relations in linear response
• Hidden entropy production and work fluctuations in an ideal active gas
• Fundamental Bounds on First Passage Time Fluctuations for Currents
• Tightening the uncertainty principle for stochastic currents
• Large deviations for Markov processes with resetting
• Bounds on current fluctuations in periodically driven systems
• Current large deviations for driven periodic diffusions
• Entropic bounds on currents in Langevin systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• A First-Order Dynamical Transition in the displacement distribution of a Driven Run-and-Tumble Particle
• Large fluctuations and dynamic phase transition in a system of self-propelled particles
• Phase transitions in large deviations of reset processes
• Dynamical fluctuations for semi-Markov processes
• Current fluctuations in periodically driven systems
• A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
• Mapping of uncertainty relations between continuous and discrete time
• Analysis of non-processive molecular motor transport using renewal reward theory

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• Thermodynamic cost for precision of general counting observables
• Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
• Modelling Active Non-Markovian Oscillations
• Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates
• Fluctuations of entropy production of a run-and-tumble particle
• A large deviation perspective on ratio observables in reset processes: robustness of rate functions
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• Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing
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