Theoretical analysis of the Ising ferromagnetic transition for cubic lattices

Research output: Contribution to journalJournal articleResearchpeer-review

Standard

Theoretical analysis of the Ising ferromagnetic transition for cubic lattices. / Frank, B.; Cheung, C. Y.; Mouritsen, O. G.

In: Journal of Physics C: Solid State Physics, Vol. 15, No. 6, 1982, p. 1233-1249.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Frank, B, Cheung, CY & Mouritsen, OG 1982, 'Theoretical analysis of the Ising ferromagnetic transition for cubic lattices', Journal of Physics C: Solid State Physics, vol. 15, no. 6, pp. 1233-1249. https://doi.org/10.1088/0022-3719/15/6/018

APA

Frank, B., Cheung, C. Y., & Mouritsen, O. G. (1982). Theoretical analysis of the Ising ferromagnetic transition for cubic lattices. Journal of Physics C: Solid State Physics, 15(6), 1233-1249. https://doi.org/10.1088/0022-3719/15/6/018

Vancouver

Frank B, Cheung CY, Mouritsen OG. Theoretical analysis of the Ising ferromagnetic transition for cubic lattices. Journal of Physics C: Solid State Physics. 1982;15(6):1233-1249. https://doi.org/10.1088/0022-3719/15/6/018

Author

Frank, B. ; Cheung, C. Y. ; Mouritsen, O. G. / Theoretical analysis of the Ising ferromagnetic transition for cubic lattices. In: Journal of Physics C: Solid State Physics. 1982 ; Vol. 15, No. 6. pp. 1233-1249.

Bibtex

@article{9e78baa0491f4be3b946298635fa95ed,
title = "Theoretical analysis of the Ising ferromagnetic transition for cubic lattices",
abstract = "New relations, the 'i- delta relations', are presented for the evaluation of higher-order critical correlation functions for the three-dimensional spin-1/2 Ising model. The critical temperatures T c for the cubic lattices are then calculated and are found to be within 1/2{\%} of the results of series analysis. Monte Carlo calculations are performed on the simple cubic lattice, and are found to bear out the theoretical predictions for the correlation functions to within 1.3{\%}, for the basic Tc-determining equations to within 0.5{\%}, and for the i- delta relations to within 2.5{\%}. An earlier theory, which uses the critical correlation function approximation, is critically examined both theoretically and by comparison with the Monte Carlo results.",
author = "B. Frank and Cheung, {C. Y.} and Mouritsen, {O. G.}",
year = "1982",
doi = "10.1088/0022-3719/15/6/018",
language = "English",
volume = "15",
pages = "1233--1249",
journal = "Journal of Physics C: Solid State Physics",
issn = "0022-3719",
publisher = "IOP Publishing",
number = "6",

}

RIS

TY - JOUR

T1 - Theoretical analysis of the Ising ferromagnetic transition for cubic lattices

AU - Frank, B.

AU - Cheung, C. Y.

AU - Mouritsen, O. G.

PY - 1982

Y1 - 1982

N2 - New relations, the 'i- delta relations', are presented for the evaluation of higher-order critical correlation functions for the three-dimensional spin-1/2 Ising model. The critical temperatures T c for the cubic lattices are then calculated and are found to be within 1/2% of the results of series analysis. Monte Carlo calculations are performed on the simple cubic lattice, and are found to bear out the theoretical predictions for the correlation functions to within 1.3%, for the basic Tc-determining equations to within 0.5%, and for the i- delta relations to within 2.5%. An earlier theory, which uses the critical correlation function approximation, is critically examined both theoretically and by comparison with the Monte Carlo results.

AB - New relations, the 'i- delta relations', are presented for the evaluation of higher-order critical correlation functions for the three-dimensional spin-1/2 Ising model. The critical temperatures T c for the cubic lattices are then calculated and are found to be within 1/2% of the results of series analysis. Monte Carlo calculations are performed on the simple cubic lattice, and are found to bear out the theoretical predictions for the correlation functions to within 1.3%, for the basic Tc-determining equations to within 0.5%, and for the i- delta relations to within 2.5%. An earlier theory, which uses the critical correlation function approximation, is critically examined both theoretically and by comparison with the Monte Carlo results.

U2 - 10.1088/0022-3719/15/6/018

DO - 10.1088/0022-3719/15/6/018

M3 - Journal article

AN - SCOPUS:0009512124

VL - 15

SP - 1233

EP - 1249

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

SN - 0022-3719

IS - 6

ER -

ID: 238392785