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Fluctuation relations for non-Markovian and heterogeneous temperature systems

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  • Korkmazhan, Elgin

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.

Suggested Citation

  • Korkmazhan, Elgin, 2020. "Fluctuation relations for non-Markovian and heterogeneous temperature systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    • Handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119314967
    DOI: 10.1016/j.physa.2019.122615
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    References listed on IDEAS

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    1. Chaki, Subhasish & Chakrabarti, Rajarshi, 2018. "Entropy production and work fluctuation relations for a single particle in active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 302-315.
    2. Chaki, Subhasish & Chakrabarti, Rajarshi, 2019. "Effects of active fluctuations on energetics of a colloidal particle: Superdiffusion, dissipation and entropy production," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    3. Sourabh Lahiri & Arun Jayannavar, 2014. "Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(6), pages 1-6, June.
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