Fluctuating motion in an active environment
Soft Condensed Matter
2020-11-18 v3 Statistical Mechanics
Biological Physics
Abstract
We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out explicitly in terms of time-correlations in the active medium. A first term changes the inertial mass of the probe, as a consequence of the persistence of the active medium. A second correction modifies the friction kernel. The resulting generalized Langevin equation benchmarks the motion induced on probes immersed in active versus passive media. The derivation uses nonequilibrium response theory.
Cite
@article{arxiv.2005.13462,
title = {Fluctuating motion in an active environment},
author = {Christian Maes},
journal= {arXiv preprint arXiv:2005.13462},
year = {2020}
}