Scattering theory of Non-Brownian active particles with social distancing
Statistical Mechanics
2023-03-07 v1 Soft Condensed Matter
Biological Physics
Abstract
We consider deterministic self-propelled particles with anti-alignment interactions. An asymptotically exact kinetic theory for particle scattering at low densities is constructed by a non-local closure of the BBGKY-hierarchy, involving pair correlations. We show that the mean-field assumption of molecular chaos yields unphysical predictions, whereas the scattering theory shows excellent agreement with agent-based simulations. To extend the theory to high densities, a self-consistent mapping to a random-telegraph process is performed. The approach is used to derive a one-particle Langevin-equation and leads to analytical expressions for the correlations of its effective noise.
Keywords
Cite
@article{arxiv.2303.03354,
title = {Scattering theory of Non-Brownian active particles with social distancing},
author = {Thomas Ihle and Rüdiger Kürsten and Benjamin Lindner},
journal= {arXiv preprint arXiv:2303.03354},
year = {2023}
}