IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v552y2020ics0378437119310659.html
   My bibliography  Save this article

Microreversibility and driven Brownian motion with hydrodynamic long-time correlations

Author

Listed:
  • Gaspard, Pierre

Abstract

A nonequilibrium fluctuation theorem is established for a colloidal particle driven by an external force within the hydrodynamic theory of Brownian motion, describing hydrodynamic memory effects such as the t−3∕2 power-law decay of the velocity autocorrelation function. The generalized Langevin equation is obtained for the general case of slip boundary conditions between the particle and the fluid. The Gaussian probability distributions for the particle to evolve in position–velocity space are deduced. It is proved that the joint probability distributions of forward and time-reversed paths have a ratio depending only on the work performed by the external force and the fluid temperature, in spite of the non-Markovian character of the generalized Langevin process.

Suggested Citation

  • Gaspard, Pierre, 2020. "Microreversibility and driven Brownian motion with hydrodynamic long-time correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    • Handle: RePEc:eee:phsmap:v:552:y:2020:i:c:s0378437119310659
    DOI: 10.1016/j.physa.2019.121823
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119310659
    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.2019.121823?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. Bedeaux, D. & Albano, A.M. & Mazur, P., 1977. "Brownian motion and fluctuating hydrodynamics II; A fluctuation-dissipation theorem for the slip coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(3), pages 574-582.
    2. Albano, A.M. & Bedeaux, D. & Mazur, P., 1975. "On the motion of a sphere with arbitrary slip in a viscous incompressible fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(1), pages 89-97.
    3. Thomas Franosch & Matthias Grimm & Maxim Belushkin & Flavio M. Mor & Giuseppe Foffi & László Forró & Sylvia Jeney, 2011. "Resonances arising from hydrodynamic memory in Brownian motion," Nature, Nature, vol. 478(7367), pages 85-88, October.
    4. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 569-576.
    5. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 557-568.
    6. Fodor, Étienne & Grebenkov, Denis S. & Visco, Paolo & van Wijland, Frédéric, 2015. "Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 107-112.
    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. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.
    2. Bhattacharya, S. & Bławzdziewicz, J. & Wajnryb, E., 2005. "Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 294-340.
    3. Lini Qiu & Guitian He & Yun Peng & Huijun Lv & Yujie Tang, 2023. "Average amplitudes analysis for a phenomenological model under hydrodynamic interactions with periodic perturbation and multiplicative trichotomous noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(4), pages 1-20, April.
    4. Palaniappan, D. & Daripa, Prabir, 2001. "Interior Stokes flows with stick-slip boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(1), pages 37-63.
    5. Léo Régnier & Maxim Dolgushev & Olivier Bénichou, 2023. "Record ages of non-Markovian scale-invariant random walks," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    6. Fodor, Étienne & Grebenkov, Denis S. & Visco, Paolo & van Wijland, Frédéric, 2015. "Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 107-112.

    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:552:y:2020:i:c:s0378437119310659. 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.