Hydrodynamic limit of the exclusion process in inhomogeneous media

2009/08/28 by Milton Jara, Jara, Milton · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #advanced mathematical theories

paper · doi:10.48550/arxiv.0908.4120

openalex publication_date 2009/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the hydrodynamic limit of a simple exclusion process in an inhomogeneous environment of divergence form. Our main assumption is a suitable version of Gamma-convergence for the environment. In this way we obtain an unified approach to recent works on the field.

Cited by

• Relaxation to equilibrium of conservative dynamics II: non-gradient exclusion processes

Related

• Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media
• The gradient flow approach to hydrodynamic limits for the simple exclusion process
• Hydrostatic limit for exclusion process with slow boundary revisited
• Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
• Diffusive to super-diffusive behavior in boundary driven exclusion