Hydrodynamic Limit of mean zero condensing Zero Range Processes with sub-critical initial profiles

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.

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Cited by in corpus (6)

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• Lower current large deviations for zero-range processes on a ring
• Monotonicity and Condensation in Homogeneous Stochastic Particle Systems
• Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles