Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties

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

Physica A: Statistical Mechanics and its Applications, 2015, vol. 422, issue C, 107-112

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.

Keywords: Generalized Langevin equation; Fluctuation–dissipation theorem; Basset force; Hydrodynamics; Subdiffusion; Optical tweezers (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:422:y:2015:i:c:p:107-112

DOI: 10.1016/j.physa.2014.12.008

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