English

Control of Active Brownian Particles: An exact solution

Statistical Mechanics 2024-01-09 v2

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.

Keywords

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)

R2 v1 2026-06-28T07:32:29.953Z