Long-range correlations in a locally constrained exclusion process
Statistical Mechanics
2026-05-26 v1 Mathematical Physics
math.MP
Abstract
We introduce a novel exclusion process with a simple local kinetic constraint that leads to a remarkable transition between a homogeneous phase with short-range correlations and a clustered phase with long-range correlations and spontaneous breaking of translation invariance. The metastable dynamics of particle clusters lead to a coarsening cascade and glassy dynamics, as well as an intriguing faster-is-slower effect where an increasing asymmetry in the flow direction leads to a decrease of the stationary current.
Keywords
Cite
@article{arxiv.2503.12632,
title = {Long-range correlations in a locally constrained exclusion process},
author = {Stefan Großkinsky and Gunter Schütz and Ali Zahra},
journal= {arXiv preprint arXiv:2503.12632},
year = {2026}
}