Hydrodynamic Limit of Mean Zero Condensing Zero Range Processes with Sub-Critical Initial Profiles

2014/02/28 by Marios-Georgios Stamatakis, Marios Georgios Stamatakis
Economics, Econometrics and Finance · Mathematics · #Bounded function #Entropy (arrow of time) #Jump #Limit (mathematics) #Particle system #Random Matrices and Applications #Range (aeronautics) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Zero (linguistics) #Zero temperature #math.PR

paper · pdf · doi:10.1007/s10955-014-1113-9

arxiv created 2014/03/14 · openalex publication_date 2014/09/23 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We prove the hydrodynamic limit of mean zero condensing Zero Range Processes with bounded local jump rate, for sub-critical initial profiles. The proof is based on H.T. Yau's relative entropy method and is made possible by a generalisation of the One Block Estimate.

Citations

• Condensation in the Zero Range Process: Stationary and Dynamical Properties
• A simple stochastic model for the dynamics of condensation