Open AccessCLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅳ)——THE APPROXIMATE INTERPOLATION FORMULA FOR THE PARTITION FUNCTION
Author(s) -
Shi He,
Bailin Hao
Publication year - 1981
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.30.1234
Subject(s) - ising model , partition function (quantum field theory) , interpolation (computer graphics) , singularity , computation , partition (number theory) , expression (computer science) , function (biology) , partition of unity , mathematics , mathematical analysis , physics , statistical physics , combinatorics , computer science , quantum mechanics , thermodynamics , algorithm , classical mechanics , motion (physics) , evolutionary biology , biology , programming language , finite element method
A class of approximate interpolation formula for the partition function of the 3-dimensional Ising model is proposed on the basis of a previous analysis of the 2-dim rigorous solution and 3-dim Q-approximation. In principle, the present knowledge about the location of the singular point and the low- and high-temperature expansion coefficients can be incorporated provided a sufficient amount of computation is carried out. One and the same analytical expression leads to good low- and high-temperature behaviour except for the specific heat singularity.