Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation

Details Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation

2010-12-13

arxiv.org/abs/1012.2718v1

Mathematics

Probability

Scientific paper

We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable phases as boundary conditions at two opposite faces. We then take a joint limit where the temperature and the mesh of the discretization go to zero while the size of the domain grows. Our main result is that the invariant measures concentrate exponentially fast around the minimizers of the free energy functional if the domain does not grow too fast.

Affiliated with

Also associated with

No associations

Rating

Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation 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 Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27157