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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
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=11281">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.</a>
![]() B. Liu and M. Gitterman, , Am. J. Phys. 71 (8), 806 (2003), WWW Document, (https://doi.org/10.1119/1.1579495).
![]() B. Liu and M. Gitterman, The critical temperature of two-dimensional and three-dimensional Ising models, Am. J. Phys. 71 (8), 806 (2003), <https://doi.org/10.1119/1.1579495>.
![]() 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 May 1, 2025, from https://doi.org/10.1119/1.1579495
![]() 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, https://doi.org/10.1119/1.1579495 (accessed 1 May 2025).
![]() Liu, B., and Moshe Gitterman. "The critical temperature of two-dimensional and three-dimensional Ising models." Am. J. Phys. 71.8 (2003): 806-808. 1 May 2025 <https://doi.org/10.1119/1.1579495>.
![]() @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}
}
![]() %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 https://doi.org/10.1119/1.1579495 %O application/pdf ![]() %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 https://doi.org/10.1119/1.1579495 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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