Interface Pinning and Finite-Size Effects in the 2D Ising Model

Details Interface Pinning and Finite-Size Effects in the 2D Ising Model Interface Pinning and Finite-Size Effects in the 2D Ising Model

1997-04-02

arxiv.org/abs/cond-mat/9704018v1

Comm. Math. Phys., Vol. 204, Nr. 2 (1999) , p. 269--312

Physics

Condensed Matter

Statistical Mechanics

34 pages, Latex

Scientific paper

10.1007/s002200050646

We apply new techniques developed in a previous paper to the study of some surface effects in the 2D Ising model. We examine in particular the pinning-depinning transition. The results are valid for all subcritical temperatures. By duality we obtained new finite size effects on the asymptotic behaviour of the two-point correlation function above the critical temperature. The key-point of the analysis is to obtain good concentration properties of the measure defined on the random lines giving the high-temperature representation of the two-point correlation function, as a consequence of the sharp triangle inequality: let tau(x) be the surface tension of an interface perpendicular to x; then for any x,y tau(x)+tau(y)-tau(x+y) >= 1/kappa(||x||+||y||-||x+y||), where kappa is the maximum curvature of the Wulff shape and ||x|| the Euclidean norm of x.

Affiliated with

Also associated with

No associations

Rating

Interface Pinning and Finite-Size Effects in the 2D 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 Interface Pinning and Finite-Size Effects in the 2D Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interface Pinning and Finite-Size Effects in the 2D Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465018