Deterministic active particles in the overactive limit
Chaotic Dynamics
2024-07-19 v1
Abstract
We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is time-independent. If the particles are identical, their interaction via a potential force leads to conservative dynamics with a conserved phase volume. In contrast, the phase volume is shown to shrink for non-identical particles.
Cite
@article{arxiv.2308.08412,
title = {Deterministic active particles in the overactive limit},
author = {Arkady Pikovsky},
journal= {arXiv preprint arXiv:2308.08412},
year = {2024}
}