Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process

Details Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process

2008-06-13

arxiv.org/abs/0806.2296v1

Mathematics

Probability

Scientific paper

10.1007/s00220-009-0751-2

We consider the weakly asymmetric exclusion process on a bounded interval with particles reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in the diffusive scaling, is given by the viscous Burgers equation with Dirichlet boundary conditions. In the case in which the bulk asymmetry is in the same direction as the drift due to the boundary reservoirs, we prove that the quasi-potential can be expressed in terms of the solution to a one-dimensional boundary value problem which has been introduced by Enaud and Derrida \cite{de}. We consider the strong asymmetric limit of the quasi-potential and recover the functional derived by Derrida, Lebowitz, and Speer \cite{DLS3} for the asymmetric exclusion process.

Affiliated with

Also associated with

No associations

Rating

Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123790