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arXiv · 2503.12632

Long-range correlations in a locally constrained exclusion process

Stefan Großkinsky·Gunter Schütz·Ali Zahra
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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.

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Stefan Großkinsky, Gunter Schütz, Ali Zahra. 2025-03-16. Long-range correlations in a locally constrained exclusion process. https://arxiv.org/abs/2503.12632

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