Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2025

Activity-driven clustering of jamming run-and-tumble particles: Exact three-body steady state by dynamical symmetry

Résumé

We exactly resolve the three-particle steady state of run-and-tumble particles with jamming interactions, providing the first microscopic description beyond two bodies. The invariant measure, derived via a piecewise-deterministic Markov process description and symmetry principles, reveals persistent, separated, and diffusive regimes. A cascade of scales in the activity parameter organizes the structural weights, showing the separated phase dominates at finite activity, while non-uniformity plays only a minor role. This approach lays the groundwork for tackling the $N$-body problem.

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hal-05251588 , version 1 (12-09-2025)

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Leo Hahn, Arnaud Guillin, Manon Michel. Activity-driven clustering of jamming run-and-tumble particles: Exact three-body steady state by dynamical symmetry. 2025. ⟨hal-05251588⟩
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