Jensen bound for the entropy production rate in stochastic thermodynamics

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Hauptverfasser: Leighton, Matthew P., Sivak, David A.
Format: Preprint
Veröffentlicht: 2023
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author Leighton, Matthew P.
Sivak, David A.
author_facet Leighton, Matthew P.
Sivak, David A.
contents Bounding and estimating entropy production has long been an important goal of nonequilibrium thermodynamics. We recently derived a lower bound on the total and subsystem entropy production rates of continuous stochastic systems. This `Jensen bound' has led to fundamental limits on the performance of collective transport systems and permitted thermodynamic inference of free-energy transduction between components of bipartite molecular machines. Our original derivation relied on a number of assumptions, which restricted the bound's regime of applicability. Here we derive the Jensen bound far more generally for multipartite overdamped Langevin dynamics. We then consider several extensions, allowing for position-dependent diffusion coefficients, underdamped dynamics, and non-multipartite overdamped dynamics. Our results extend the Jensen bound to a far broader class of systems.
format Preprint
id arxiv_https___arxiv_org_abs_2305_11287
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Jensen bound for the entropy production rate in stochastic thermodynamics
Leighton, Matthew P.
Sivak, David A.
Statistical Mechanics
Bounding and estimating entropy production has long been an important goal of nonequilibrium thermodynamics. We recently derived a lower bound on the total and subsystem entropy production rates of continuous stochastic systems. This `Jensen bound' has led to fundamental limits on the performance of collective transport systems and permitted thermodynamic inference of free-energy transduction between components of bipartite molecular machines. Our original derivation relied on a number of assumptions, which restricted the bound's regime of applicability. Here we derive the Jensen bound far more generally for multipartite overdamped Langevin dynamics. We then consider several extensions, allowing for position-dependent diffusion coefficients, underdamped dynamics, and non-multipartite overdamped dynamics. Our results extend the Jensen bound to a far broader class of systems.
title Jensen bound for the entropy production rate in stochastic thermodynamics
topic Statistical Mechanics
url https://arxiv.org/abs/2305.11287