environmental memory 1first-passage time 1persistence exponents 1random walks 1splitting probabilities 1trail-mediated interactions 1
From the 1 of 2 linked papers with an AI index.
2 papers
cond-mat.stat-mech2026
Exact collective first-passage statistics of N trail-interacting walkers
Paul Pineau, Julien Brémont, Olivier Bénichou +1
The paper derives exact formulas for the first‑passage times and splitting probabilities of N one‑dimensional random walkers that interact through a shared, persistent trail field,…
cond-mat.stat-mech2025
Collective dynamics of trail-interacting particles
Paul Pineau, Samuel Bell, Raphaël Voituriez +1
Trail interactions occur when past particle trajectories bias future motion, rendering the system out of thermodynamic equilibrium. While such systems are abundant in nature, their…