ILL-DEFINED BLOCK-SPIN TRANSFORMATIONS AT ARBITRARILY HIGH-TEMPERATURES

Authors
VANENTER ACD
Citation
Acd. Vanenter, ILL-DEFINED BLOCK-SPIN TRANSFORMATIONS AT ARBITRARILY HIGH-TEMPERATURES, Journal of statistical physics, 83(3-4), 1996, pp. 761-765
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
83
Issue
3-4
Year of publication
1996
Pages
761 - 765
Database
ISI
SICI code
0022-4715(1996)83:3-4<761:IBTAAH>2.0.ZU;2-6
Abstract
Examples are presented of block-spin transformations which map the Gib bs measures of the Ising model in two or more dimensions at temperatur e intervals extending to arbitrarily high temperatures onto non-Gibbsi an measures. In this way we provide the first example of this kind of pathology for very high temperatures, and as a corollary also the firs t example of such a pathology happening at a critical point.