IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v537y2020ics0378437119314967.html
   My bibliography  Save this article

Fluctuation relations for non-Markovian and heterogeneous temperature systems

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119314967
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.122615?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Guevara-Valadez, Carlos Antonio & Marathe, Rahul & Gomez-Solano, Juan Ruben, 2023. "A Brownian cyclic engine operating in a viscoelastic active suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    3. Goswami, Koushik, 2019. "Work fluctuation relations for a dragged Brownian particle in active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 223-233.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119314967. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.