Tuning the strength of emergent correlations in a Brownian gas via batch resetting
Abstract
We study a gas of $N$ diffusing particles on the line subject to batch resetting: at rate $r$, a uniformly random subset of $m$ particles is reset to the origin. Despite the absence of interactions, the dynamics generates a nonequilibrium stationary state (NESS) with long-range correlations. Since standard renewal methods fail for $m
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Statistical Mechanics and Entropy
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 27 January 2026
- Document type
- Preprint