Control of Active Brownian Particles: An exact solution
Abstract
Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely out-of-equilibrium system, the two dimensional Active Brownian Particles model in a harmonic potential, a paradigm for the study of self-propelled bacteria. We search for protocols for the driving parameters (stiffness of the potential and activity of the particles) bringing the system from an initial passive-like stationary state to a final active-like one, within a chosen time interval. The exact analytical results found for this prototypical system of self-propelled particles brings control techniques to a wider class of out-of-equilibrium systems.
Cite
@article{arxiv.2212.06651,
title = {Control of Active Brownian Particles: An exact solution},
author = {Marco Baldovin and David Guéry-Odelin and Emmanuel Trizac},
journal= {arXiv preprint arXiv:2212.06651},
year = {2024}
}
Comments
6 pages, 3 figures + supplemental material (10 pages, 3 figures)