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Fluctuation relations for non-Markovian and heterogeneous temperature systems

Elgin Korkmazhan

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

Abstract: Fluctuation relations such as the Jarzynski equality provide general statements about thermodynamic variables and have been used to infer free energy from nonequilibrium measurements. Here we utilize model-specific fluctuation relations derived from corresponding stochastic dynamical equations to study systems whose thermodynamics have not been well-understood. We detail steps of known frameworks to obtain specific forms of fluctuation relations for examples governed by non-Markovian Langevin dynamics and spatial temperature heterogeneity. We show related simple approximations in a system obeying Tsallis nonextensive statistical mechanics and propose efficient design features for biomolecular machines.

Keywords: Fluctuation relations; non-Markovian; Heterogeneous temperature; Active matter (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119314967

DOI: 10.1016/j.physa.2019.122615

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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