Hydrodynamics of the zero-range process in the condensation regime
arXiv:cond-mat/0608222 · doi:10.1007/s10955-007-9280-6
Abstract
We argue that the coarse-grained dynamics of the zero-range process in the condensation regime can be described by an extension of the standard hydrodynamic equation obtained from Eulerian scaling even though the system is not locally stationary. Our result is supported by Monte Carlo simulations.
14 pages, 3 figures. v2: Minor alterations
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- Hydrodynamic Limit of mean zero condensing Zero Range Processes with sub-critical initial profiles
- Current large deviations for partially asymmetric particle systems on a ring
- Explosive condensation in symmetric mass transport models
- Lower current large deviations for zero-range processes on a ring
- Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
- Zero-range process with long-range interactions at a T-junction
- One-dimensional Particle Processes with Acceleration/Braking Asymmetry
- Generalized Young measures and the hydrodynamic limit of condensing zero range processes
- Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process