Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices

Details Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices

2011-05-31

arxiv.org/abs/1105.6220v1

Mathematics

Probability

34 pages, 2 figures

Scientific paper

We investigate the hydrodynamic limit for weakly asymmetric exclusion pro- cesses in crystal lattices. We construct the suitable scaling limit by using a discrete harmonic map. The quasi-linear parabolic equation appearing in the limit is de- fined on the torus equipped with the Albanese metric and depends on both the local structure of the crystal lattice and the discrete harmonic map. We formulate the local ergodic theorem on the crystal lattice by introducing the notion of the local function bundle, which is a family of local functions on the configuration space. We also introduce the ideas and methods taken from the discrete geometric analysis to this problem. Results we obtain are extensions of ones by Kipnis, Olla and Varadhan to crystal lattices.

Affiliated with

Also associated with

No associations

Rating

Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices 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 Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamic limit for weakly asymmetric exclusion processes in crystal lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337861