[en] 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. (C) 2014 Elsevier B.V. All rights reserved.
Disciplines :
Physics
Author, co-author :
Fodor, Etienne ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Grebenkov, Denis S.; Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS – École Polytechnique, 91128 Palaiseau, France
Visco, Paolo; Laboratoire Matière et Systèmes Complexes, CNRS UMR 7057, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France
Frederic, Van Wijland; Laboratoire Matière et Systèmes Complexes, CNRS UMR 7057, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France ; Department of Chemistry, University of California, Berkeley, CA, 94720, USA
External co-authors :
yes
Language :
English
Title :
Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties
Publication date :
2015
Journal title :
Physica A. Statistical Mechanics and its Applications
