Journal Article Detail Page

American Journal of Physics
written by B. Liu and M. Gitterman
The critical temperatures of the Ising model is obtained by considering the elementary cells of  the square lattice in two dimensions and the cubic lattice in three dimensions. The cell configurations are divided into nondegenerate and degenerate classes. At the critical temperature of the infinite lattice the contributions of these two classes of are assumed to be equal. This conjecture reproduces the exact result for two dimensions and the numerical result for three-dimensional lattices. Although this conjecture is not exact, it gives insight into the nature of the transitions.
American Journal of Physics: Volume 71, Issue 8, Pages 806-808
Subjects ADS Supplements Resource Types
Thermo & Stat Mech
- Models
= Ising Model
- Phase Transitions
= Continuous Transitions
- Reference Material
= Article
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© 2003 American Journal of Physics
Additional information is available.
DOI:
10.1119/1.1707017
ISSN Number:
0002-9505
Keywords:
Ising model, critical point
Record Cloner:
Metadata instance created June 29, 2011 by Harvey Gould
Record Updated:
June 29, 2011 by Harvey Gould
Last Update
when Cataloged:
April 8, 2003
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Record Link
AIP Format
B. Liu and M. Gitterman, Am. J. Phys. 71 (8), 806 (2003), WWW Document, (http://dx.doi.org/10.1119/1.1579495).
AJP/PRST-PER
B. Liu and M. Gitterman, The critical temperature of two-dimensional and three-dimensional Ising models Am. J. Phys. 71 (8), 806 (2003), <http://dx.doi.org/10.1119/1.1579495>.
APA Format
Liu, B., & Gitterman, M. (2003, April 8). The critical temperature of two-dimensional and three-dimensional Ising models. Am. J. Phys., 71(8), 806-808. Retrieved July 28, 2014, from http://dx.doi.org/10.1119/1.1579495
Chicago Format
Liu, B., and Moshe Gitterman. "The critical temperature of two-dimensional and three-dimensional Ising models." Am. J. Phys. 71, no. 8, (April 8, 2003): 806-808, http://dx.doi.org/10.1119/1.1579495 (accessed 28 July 2014).
MLA Format
Liu, B., and Moshe Gitterman. "The critical temperature of two-dimensional and three-dimensional Ising models." Am. J. Phys. 71.8 (2003): 806-808. 28 July 2014 <http://dx.doi.org/10.1119/1.1579495>.
BibTeX Export Format
@article{ Author = "B. Liu and Moshe Gitterman", Title = {The critical temperature of two-dimensional and three-dimensional Ising models}, Journal = {Am. J. Phys.}, Volume = {71}, Number = {8}, Pages = {806-808}, Month = {April}, Year = {2003} }
Refer Export Format

%A B. Liu
%A Moshe Gitterman
%T The critical temperature of two-dimensional and three-dimensional Ising models
%J Am. J. Phys.
%V 71
%N 8
%D April 8, 2003
%P 806-808
%U http://dx.doi.org/10.1119/1.1579495
%O application/pdf

EndNote Export Format

%0 Journal Article
%A Liu, B.
%A Gitterman, Moshe
%D April 8, 2003
%T The critical temperature of two-dimensional and three-dimensional Ising models
%J Am. J. Phys.
%V 71
%N 8
%P 806-808
%8 April 8, 2003
%@ 0002-9505
%U http://dx.doi.org/10.1119/1.1579495


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