A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale

作者：Chavez E; Landim C^*

来源：Journal of Statistical Physics, 2016, 163(5): 1079-1107.

DOI：10.1007/s10955-016-1514-z

• Hydrodynamic equation
• Boundary driven interacting particle systems
• First order correction
• Quasi-static transformations

We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] boolean AND Z in the quasi-static time scale N-2 epsilon(-1)(N), where 1 << epsilon(-1)(N) << N-1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order epsilon(N).

• 出版日期2016-6