Open AccessTHE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL
Author(s) -
Luan Chang-Fu
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.497
Subject(s) - ising model , square lattice ising model , physics , limit (mathematics) , critical point (mathematics) , coupling (piping) , statistical physics , mathematical physics , condensed matter physics , mathematics , materials science , mathematical analysis , metallurgy
In the present article, by using coupling technique, we establish the relation between Ising model and contact process. From this relation, the upper limit of critical temperature of higher dimensional Ising model is obtained. That is, the critical point βc(n) of n-dimensional Ising model must satisfy exp{2βc(n)(2n-1)}·(exp{2βc(n)}-1)≥2/2n-1 and especially, crirical point βc(3) of the three-dimensional Ising model must satisfy βc(3)> 1/2ln1.17.