Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
We consider the weakly asymmetric simple exclusion process on the discrete space {1,⋯,n-1}(n∈ℕ), in contact with stochastic reservoirs, both with density ρ∈(0,1) at the extremity points, and starting from the invariant state, namely the Bernoulli product measure of parameter ρ. Under time diffusive scaling tn 2 and for ρ=1 2, …