Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion

Details Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion

2002-02-08

arxiv.org/abs/math-ph/0202014v1

Physics

Mathematical Physics

Scientific paper

We consider the asymmetric simple exclusion process in $d\ge 3$ with open boundaries. The particle reservoirs of constant densities are modeled by birth and death processes at the boundary. We prove that, if the initial density and the densities of the boundary reservoirs differ for order of $\epsilon$ from 1/2, the density empirical field, rescaled as $\epsilon^{-1}$, converges to the solution of the initial-boundary value problem for the viscous Burgers equation in a finite domain with given density on the boundary.

Affiliated with

Also associated with

No associations

Rating

Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion 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 Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591856