Open Access
GREEN'S FUNCTION APPROACH TO 3-DIMENSIONAL ISING MODEL
Author(s) -
Teng Bao-hua
Publication year - 1991
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.40.826
Subject(s) - decoupling (probability) , ising model , magnetization , spin (aerodynamics) , block (permutation group theory) , spin model , algebraic number , function (biology) , statistical physics , condensed matter physics , physics , mathematics , quantum mechanics , mathematical analysis , combinatorics , thermodynamics , control engineering , evolutionary biology , biology , magnetic field , engineering
With the Green's function tequnique, we have exactly dealed with 3-dimesional lsing model, and obtained the linear equations of the ensemble average of the spin which are able TO be recurrent. Then by applying the decoupling approximation to the spin blocks, we can transform the solution of the transition temperature, magnetization and so on into the solution of algebraic equations. We have shown that for the smaller spin block we can obtain the results with higher precision.