LAYERING TRANSITION IN SOS MODEL WITH EXTERNAL MAGNETIC-FIELD

Citation
Ei. Dinaburg et Ae. Mazel, LAYERING TRANSITION IN SOS MODEL WITH EXTERNAL MAGNETIC-FIELD, Journal of statistical physics, 74(3-4), 1994, pp. 533-563
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
74
Issue
3-4
Year of publication
1994
Pages
533 - 563
Database
ISI
SICI code
0022-4715(1994)74:3-4<533:LTISMW>2.0.ZU;2-E
Abstract
For the SOS model defined by the Hamiltonian H(phi) = 1/2SIGMA[x,x'] \ phi(x) - phi(x')\ + h SIGMA(x)phi(x), where phi(x), phi(x') is-an-elem ent-of {1, 2,...}, h>0, x is-an-element-of Z(d), d greater-than-or-equ al-to 2, it is shown that in the low-temperature region an infinite se quence of first-order phase transitions takes place when h --> 0 and t he temperature is fixed.