The Asymmetric One-Dimensional Constrained Ising Model

Details The Asymmetric One-Dimensional Constrained Ising Model The Asymmetric One-Dimensional Constrained Ising Model

2001-10-01

arxiv.org/abs/math/0110023v1

Mathematics

Probability

32 pages

Scientific paper

We study a reversible one-dimensional spin system with Bernoulli(p) stationary distribution, in which a site can flip only if the site to its left is in state +1. Such models have been used as simple exemplars of systems exhibiting slow relaxation. We give fairly sharp estimates of the spectral gap as p decreases to zero. The method uses Poincare comparison with a long-range process which is analyzed by probabilistic methods (coupling, supermartingales).

Affiliated with

Also associated with

No associations

Rating

The Asymmetric One-Dimensional Constrained Ising Model 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 The Asymmetric One-Dimensional Constrained Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Asymmetric One-Dimensional Constrained Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60658