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Cutoff phenomenon for asymmetric zero range process with monotone rates

Year: 2026

Type: article

Abstract: We investigate the mixing time of the asymmetric Zero Range process on the segment with a nondecreasing rate. We establish that the cutoff holds in the totally asymmetric case with a convex flux, and also with a concave flux if the asymmetry is strong enough. We show that the mixing occurs when the macroscopic system reaches equilibrium. A key ingredient of the proof, of independent interest, is the hydrodynamic limit for irregular initial data.

Source: The Annals of Probability

DOI: 10.1214/25-aop1814

Author: Ons Rameh

Institutions: École Normale Supérieure - PSL, École Normale Supérieure, Département de mathématiques et applications, Laboratoire de Probabilités, Statistique et Modélisation

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403362558

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