3 papers
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…
math.AP2025
Convergence of non-reversible Markov processes via lifting and flow Poincar{é} inequality
Andreas Eberle, Arnaud Guillin, Leo Hahn +2
We propose a general approach for quantitative convergence analysis of non-reversible Markov processes, based on the concept of second-order lifts and a variational approach to hyp…
math.PR2024
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions
Arnaud Guillin, Leo Hahn, Manon Michel
Run-and-Tumble Particles (RTPs) are a key model of active matter. They are characterized by alternating phases of linear travel and random direction reshuffling. By this dynamic be…