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Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties

Author

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  • Fodor, Étienne
  • Grebenkov, Denis S.
  • Visco, Paolo
  • van Wijland, Frédéric

Abstract

We review equilibrium properties for the dynamics of a single particle evolving in a visco-elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of the explicit expression for the thermal noise correlation function that is consistent with the fluctuation–dissipation theorem. We rely on general time-reversal arguments that apply irrespective of the external potential acting on the particle, but also allow one to retrieve existing results derived for free particles and particles in a harmonic trap. Some consequences for the analysis and interpretation of single-particle tracking experiments are briefly discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:422:y:2015:i:c:p:107-112
    DOI: 10.1016/j.physa.2014.12.008
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Gaspard, Pierre, 2020. "Microreversibility and driven Brownian motion with hydrodynamic long-time correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    2. 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.

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