том 21 издание 3 страницы 434-448

A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method

Тип публикацииJournal Article
Дата публикации1953-03-01
scimago Q1
wos Q2
БС2
SJR0.819
CiteScore5.3
Impact factor3.1
ISSN00219606, 10897690
Physical and Theoretical Chemistry
General Physics and Astronomy
Краткое описание

A series of approximations for the statistical mechanics of order-disorder, proposed by Bethe, Takagi, Yang-Li-Hill, Kikuchi, and others, are investigated in detail in two ways. (1) A new interpretation of the method for constructing the combinatory factor is presented in order to give a better understanding of the nature of approximations. (2) The partition functions with approximate combinatory factors are expanded to compare with the rigorous expansion and the discrepancies between them are investigated in detail. One of the conclusions is that in order to obtain a higher approximation, it is necessary to use the basic figure ``closed'' with respect to the cluster of the preceding approximation. In appendices, an improved treatment of the body-centered cubic lattice (Ising model) is given, and Bethe's fundamental assumptions are derived from our scheme.

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ГОСТ |
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Kurata M., Kikuchi R., Watari T. A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method // Journal of Chemical Physics. 1953. Vol. 21. No. 3. pp. 434-448.
ГОСТ со всеми авторами (до 50) Скопировать
Kurata M., Kikuchi R., Watari T. A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method // Journal of Chemical Physics. 1953. Vol. 21. No. 3. pp. 434-448.
RIS |
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TY - JOUR
DO - 10.1063/1.1698926
UR - https://doi.org/10.1063/1.1698926
TI - A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method
T2 - Journal of Chemical Physics
AU - Kurata, Michio
AU - Kikuchi, Ryoichi
AU - Watari, Tatsuro
PY - 1953
DA - 1953/03/01
PB - AIP Publishing
SP - 434-448
IS - 3
VL - 21
SN - 0021-9606
SN - 1089-7690
ER -
BibTex |
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BibTex (до 50 авторов) Скопировать
@article{1953_Kurata,
author = {Michio Kurata and Ryoichi Kikuchi and Tatsuro Watari},
title = {A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method},
journal = {Journal of Chemical Physics},
year = {1953},
volume = {21},
publisher = {AIP Publishing},
month = {mar},
url = {https://doi.org/10.1063/1.1698926},
number = {3},
pages = {434--448},
doi = {10.1063/1.1698926}
}
MLA
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Kurata, Michio, et al. “A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method.” Journal of Chemical Physics, vol. 21, no. 3, Mar. 1953, pp. 434-448. https://doi.org/10.1063/1.1698926.