THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL | Zendy

LUAN CHANG-FU | Zendy

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THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL

Author(s) -

LUAN CHANG-FU

Publication year - 1989

Publication title -

acta physica sinica

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.

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