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Resonances arising from hydrodynamic memory in Brownian motion

Author

Listed:
  • Thomas Franosch

    (Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstraße 7)

  • Matthias Grimm

    (M. E. Müller Institute for Structural Biology, Biozentrum, University of Basel, Klingelbergstrasse 70
    Laboratory of Physics of Complex Matter, Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • Maxim Belushkin

    (Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • Flavio M. Mor

    (Laboratory of Physics of Complex Matter, Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • Giuseppe Foffi

    (Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • László Forró

    (Laboratory of Physics of Complex Matter, Ecole Polytechnique Fédérale de Lausanne (EPFL))

  • Sylvia Jeney

    (M. E. Müller Institute for Structural Biology, Biozentrum, University of Basel, Klingelbergstrasse 70
    Laboratory of Physics of Complex Matter, Ecole Polytechnique Fédérale de Lausanne (EPFL))

Abstract

Brownian motion — now in colour In Brownian motion, a particle's movement is driven by rapid collisions with the surrounding solvent molecules; this thermal force is assumed to be random and characterized by a Gaussian white noise spectrum. Friction between the particle and the viscous solvent damps its motion. However, the displaced fluid acts back on the particle, giving rise to a hydrodynamic 'memory' and thermal forces with a coloured noise spectrum. Direct experimental observation of a coloured spectrum has proved difficult. Sylvia Jeney and colleagues now report clear evidence for it in measurements of the Brownian fluctuations of a microsphere in a strong optical trap. They anticipate that such details in thermal noise could be exploited for the development of new types of sensors and particle-based assays in lab-on-a-chip applications.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:nature:v:478:y:2011:i:7367:d:10.1038_nature10498
    DOI: 10.1038/nature10498
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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. 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.
    3. 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.
    4. 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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