1991年6月
MULTI-EFFECTIVE-FIELD THEORY - APPLICATIONS TO THE CAM ANALYSIS OF THE 2-DIMENSIONAL ISING-MODEL
PHYSICA A
- ,
- ,
- ,
- 巻
- 174
- 号
- 2-3
- 開始ページ
- 479
- 終了ページ
- 503
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/0378-4371(91)90344-C
- 出版者・発行元
- ELSEVIER SCIENCE BV
A multi-effective-field theory is formulated and applied to the two-dimensional Ising model from the viewpoint of the coherent-anomaly method (CAM). Two necessary conditions to construct the CAM canonical series are shown. Two series of approximations are derived on 3 x 3- and 4 x 4-clusters and with the use of the CAM we estimate the critical exponent of the susceptibility within an error of 0.37 and 0.45 percent, respectively, for the exact value gamma = 1.75 where the exact T(c)* is assumed. This accuracy of the estimation shows the effectiveness of this theory. It is generally proved that certain kinds of approximations with different combinations of effective fields yield exactly the same approximate critical temperature and mean-field coefficient.
- リンク情報
- ID情報
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- DOI : 10.1016/0378-4371(91)90344-C
- ISSN : 0378-4371
- Web of Science ID : WOS:A1991FU46600016