Applicability of Effective Pair Potentials for Active Brownian Particles
Abstract
We have performed a case study investigating a recently proposed scheme to obtain an effective pair potential for active Brownian particles [Farage et al., Phys. Rev. E 91, 042310 (2015)]. Applying this scheme to the Lennard-Jones potential, numerical simulations of active Brownian particles are compared to simulations of passive Brownian particles interacting by the effective pair potential. Analyzing the static pair correlations, our results indicate a limited range of activity parameters (speed and orientational correlation time) for which we obtain quantitative, or even qualitative, agreement. Moreover, we find a qualitatively different behavior for the virial pressure even for small propulsion speeds. Combining these findings we conclude that beyond linear response active particles exhibit genuine non-equilibrium properties that cannot be captured by effective pair interaction alone.
Cite
@article{arxiv.1608.01466,
title = {Applicability of Effective Pair Potentials for Active Brownian Particles},
author = {Markus Rein and Thomas Speck},
journal= {arXiv preprint arXiv:1608.01466},
year = {2017}
}