Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2015Embargo end date: 01 Dec 2014 Luxembourg English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 422, pages 107-112 (issn: 0378-4371,

Copyright policy )

Authors: FODOR, Etienne; Grebenkov, Denis S.; Visco, Paolo; Frederic, Van Wijland;

doi: 10.1016/j.physa.2014.12.008 , 10.48550/arxiv.1412.3235

arXiv: 1412.3235

Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties

- Summary
- Subjects
- Metrics

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.

Country

Luxembourg

Related Organizations

Laboratoire Matière et Systèmes Complexes
France
University of California, Berkely
United States
École Polytechnique
France
Université Paris Cité
France
Université Paris Diderot
France

View all View all

Keywords

Statistical Mechanics (cond-mat.stat-mech), Multidisciplinary etienne.fodor@univ-paris-diderot.fr denis.grebenkov@polytechnique.edu paolo.visco@univ-paris-diderot.fr fvw@univ-paris-diderot.fr Fodor, Physique, subdiffusion, optical tweezers, Physics, Physique, chimie, mathématiques & sciences de la terre, Etienne/0000-0003-1372-2195 35 9 1 26 Physica A CC1EX WOS:000350085100011, FOS: Physical sciences, Generalized Langevin equation; Fluctuation-dissipation theorem; Basset force; Hydrodynamics; Subdiffusion; Optical tweezers LIVING CELLS; VELOCITY FLUCTUATIONS; VISCOELASTIC MODULI BROWNIAN-MOTION; MICRORHEOLOGY; TRACKING; STOKES; MEMORY; FLOW Physics Physics, generalized Langevin equation, Condensed Matter - Soft Condensed Matter, Stochastic methods applied to problems in equilibrium statistical mechanics, Physical, chemical, mathematical & earth Sciences, hydrodynamics, fluctuation-dissipation theorem, Soft Condensed Matter (cond-mat.soft), Basset force, Etienne/O-1660-2019 Fodor, Condensed Matter - Statistical Mechanics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	16
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average