A correction to the hydrodynamic limit of boundary driven exclusion processes in a super-diffusive time scale

الأصل · EN

We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0,N]∩ Z in the super-diffusive time scale N² ε⁻¹ₙ, where 1≪ ε⁻¹ₙ ≪ N¹/⁴. 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 εₙ.