Cutoff phenomenon for asymmetric zero range process with monotone rates - CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions
Preprints, Working Papers, ... (Preprint) Year : 2024

Cutoff phenomenon for asymmetric zero range process with monotone rates

Abstract

We investigate the mixing time of the asymmetric Zero Range process on the segment with a non-decreasing rate. We show 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.
Fichier principal
Vignette du fichier
ZRP_mixing_time.pdf (584.87 Ko) Télécharger le fichier
Origin Files produced by the author(s)
licence

Dates and versions

hal-04731272 , version 1 (10-10-2024)

Licence

Identifiers

Cite

Ons Rameh. Cutoff phenomenon for asymmetric zero range process with monotone rates. 2024. ⟨hal-04731272⟩
32 View
2 Download

Altmetric

Share

More