Hydrodynamic Limit of Boundary Driven Exclusion Processes with Nonreversible Boundary Dynamics
Using duality techniques, we derive the hydrodynamic limit for one-dimensional, boundary-driven, symmetric exclusion processes with different types of non-reversible dynamics at the boundary, for which the classical entropy method fails.
KeywordsProbability theory Statistical mechanics Nonequilibrium systems Boundary-driven particle systems Hydrodynamic limits Duality
I would like to thank C. Landim for his help drafting this article, and for our numerous fruitful discussions.
- 6.Erignoux, C., Landim, C., Xu, T.: Stationary states of boundary-driven exclusion processes with non-reversible boundary dynamics (2017)Google Scholar