Hydrostatic limit for exclusion process with slow boundary revisited

Abstract

We revisit in this short article the hydrostatic limit for the exclusion process with slow boundary. The original proof of this result relies on estimates of the correlation functions. We achieve the same result based on analysis of two different time scales, which do not need any information about the correlation functions.

12 pages, some typos have been corrected

References in corpus (1)

• Exclusion process with slow boundary

Cited by in corpus (5)

• Large deviations in the symmetric simple exclusion process with slow boundaries
• Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
• Current fluctuations in a semi-infinite line
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion