A microscopically reversible kinetic theory of flocking

Fuente: arXiv
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Auteur principal: Lier, Ruben
Format: Preprint
Publié: 2025
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author Lier, Ruben
author_facet Lier, Ruben
contents We formulate a kinetic theory of two species of hard spheres undergoing reactive collisions that convert chemical energy into kinetic energy. The model describes an active species interacting with a passive background, labeled as birds and air respectively, with the reactive collisions representing of self-propulsion. Microscopic reversibility of the reactive dynamics is imposed, and a chemostat is introduced to drive the system out of equilibrium. When the chemostat is sufficiently strong and one restricts to grazing interspecies collisions, we find that the bird momentum damping coefficient can change sign, giving rise to a flocking transition.
format Preprint
id arxiv_https___arxiv_org_abs_2508_09274
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A microscopically reversible kinetic theory of flocking
Lier, Ruben
Statistical Mechanics
Soft Condensed Matter
We formulate a kinetic theory of two species of hard spheres undergoing reactive collisions that convert chemical energy into kinetic energy. The model describes an active species interacting with a passive background, labeled as birds and air respectively, with the reactive collisions representing of self-propulsion. Microscopic reversibility of the reactive dynamics is imposed, and a chemostat is introduced to drive the system out of equilibrium. When the chemostat is sufficiently strong and one restricts to grazing interspecies collisions, we find that the bird momentum damping coefficient can change sign, giving rise to a flocking transition.
title A microscopically reversible kinetic theory of flocking
topic Statistical Mechanics
Soft Condensed Matter
url https://arxiv.org/abs/2508.09274