SPDE limit of weakly inhomogeneous ASEP
Sign Up to like & getrecommendations! Published in 2020 at "Electronic Journal of Probability"
DOI: 10.1214/20-ejp565
Abstract: We study ASEP in a spatially inhomogeneous environment on a torus $ \mathcal{T} \simeq \{0,1,\ldots,N-1\} $ of $ N $ sites. A given inhomogeneity $ \widetilde{\mathsf{a}}(x)\in(0,\infty) $, $ x\in\mathcal{T} $, perturbs the overall asymmetric jumping… read more here.
Keywords: inhomogeneity widetilde; weakly inhomogeneous; limit weakly; spde limit ... See more keywords
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
Sign Up to like & getrecommendations! Published in 2024 at "Electronic Journal of Probability"
DOI: 10.1214/24-ejp1225
Abstract: We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics equations. Our main… read more here.
Keywords: limit weakly; limit; simple exclusion; asymmetric simple ... See more keywords