Active hard-spheres in infinitely many dimensions
Abstract
Few equilibrium --even less so nonequilibrium-- statistical-mechanical models with continuous degrees of freedom can be solved exactly. Classical hard-spheres in infinitely many space dimensions are a notable exception. We show that even without resorting to a Boltzmann distribution, dimensionality is a powerful organizing device to explore the stationary properties of active hard-spheres evolving far from equilibrium. In infinite dimensions, we compute exactly the stationary state properties that govern and characterize the collective behavior of active hard-spheres: the structure factor and the equation of state for the pressure. In turn, this allows us to account for motility-induced phase-separation. Finally, we determine the crowding density at which the effective propulsion of a particle vanishes.
Cite
@article{arxiv.1910.03302,
title = {Active hard-spheres in infinitely many dimensions},
author = {Thibaut Arnoulx de Pirey and Gustavo S. Lozano and Frédéric van Wijland},
journal= {arXiv preprint arXiv:1910.03302},
year = {2020}
}
Comments
Main text : 6 pages, 2 figures. Supplemental material : 7 pages, 2 figures