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arXiv · 1903.01972

Thermodynamic uncertainty for run-and-tumble type processes

Mayank Shreshtha·Rosemary J. Harris
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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.

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BibTeXRIS

Mayank Shreshtha, Rosemary J. Harris. 2019-03-05. Thermodynamic uncertainty for run-and-tumble type processes. https://doi.org/10.1209/0295-5075/126/40007

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