 97161 Pfister C.E., Velenik Y.
 Interface Pinning and FiniteSize Effects in the 2D Ising Model
(234K, uuencoded gzipped Postscript)
Apr 3, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We apply new techniques developed in a previous work to the study of some
surface effects in the 2D Ising model. We examine in particular the
pinningdepinning transition. The results are valid for all subcritical
temperatures. By duality we obtained new finite size effects on the asymptotic
behaviour of the twopoint correlation function above the critical
temperature. The keypoint of the analysis is to obtain good concentration
properties of the measure defined on the random lines giving the
hightemperature representation of the twopoint 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+yx+y),
where kappa is the maximum curvature of the Wulff shape and x the Euclidean
norm of x.
 Files:
97161.src(
desc ,
97161.uu )