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cond-mat.stat-mech2025
Activity-driven clustering and many-body steady state of jamming run-and-tumble particles
Leo Hahn, Arnaud Guillin, Manon Michel
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 invaria…
cond-mat.stat-mech2025
Invariant-measure regularity for one-dimensional PDMPs with applications to shape transitions in run-and-tumble particle systems
Leo Hahn
We study the regularity of the invariant density of 1D piecewise-deterministic Markov processes. Such densities are regular away from the zeros of the driving vector fields, but ma…
cond-mat.stat-mech2023
Jamming pair of general run-and-tumble particles: Exact results, symmetries and steady-state universality classes
Leo Hahn, Arnaud Guillin, Manon Michel
While run-and-tumble particles are a foundational model for self-propelled particles as bacteria or Janus particles, the analytical derivation of their steady state from the micros…