Inertial self-propelled particles
Abstract
We study a self-propelled particle moving in a solvent with the active Ornstein Uhlenbeck dynamics in the underdamped regime to evaluate the influence of the inertia. We focus on the properties of potential-free and harmonically confined underdamped active particles, studying how the single-particle trajectories modify for different values of the drag coefficient. In both cases, we solve the dynamics in terms of correlation matrices and steady-state probability distribution functions revealing the explicit correlations between velocity and active force. We also evaluate the influence of the inertia on the time-dependent properties of the system, discussing the mean square displacement and the time-correlations of particle positions and velocities. Particular attention is devoted to the study of the Virial active pressure unveiling the role of the inertia on this observable.
Cite
@article{arxiv.2009.14032,
title = {Inertial self-propelled particles},
author = {Lorenzo Caprini and Umberto Marini Bettolo Marconi},
journal= {arXiv preprint arXiv:2009.14032},
year = {2021}
}