Projects per year
Abstract
Twospecies condensing zero range processes (ZRPs) are interacting particle systems with two species of particles and zero range interaction exhibiting phase separation outside a domain of subcritical densities. We prove the hydrodynamic limit of nearest neighbour mean zero twospecies condensing ZRP with bounded local jump rate for subcritical initial profiles, i.e., for initial profiles whose image is contained in the region of subcritical densities. The proof is based on H.T. Yau’s relative entropy method, which relies on the existence of sufficiently regular solutions to the hydrodynamic equation. In the particular case of the speciesblind ZRP, we prove that the solutions of the hydrodynamic equation exist globally in time and thus the hydrodynamic limit is valid for all times.
Original language  English 

Pages (fromto)  794–825 
Journal  Journal of Statistical Physics 
Volume  168 
Issue number  4 
Early online date  1 Jul 2017 
DOIs  
Publication status  Published  Aug 2017 
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Projects
 3 Finished

Wolfson Merit Award  Non equilibrium Particles & PDE
Zimmer, J.
1/05/16 → 31/08/20
Project: Research council

A Novel Passage from Particles to PDEs Far From Equilibrium
Zimmer, J.
1/06/14 → 30/11/17
Project: UK charity

Analysis of the Effective Long TimeBehaviour of Molecule Systems
Zimmer, J.
Engineering and Physical Sciences Research Council
16/12/13 → 15/12/16
Project: Research council