Critical parameters for the heat capacity of three-dimensional Ising ferromagnets

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Critical parameters for the heat capacity of three-dimensional Ising ferromagnets. / Jensen, S. J. K.; Mouritsen, O. G.

In: Journal of Physics A: Mathematical and General, Vol. 15, No. 8, 1982, p. 2631-2636.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Jensen, SJK & Mouritsen, OG 1982, 'Critical parameters for the heat capacity of three-dimensional Ising ferromagnets', Journal of Physics A: Mathematical and General, vol. 15, no. 8, pp. 2631-2636. https://doi.org/10.1088/0305-4470/15/8/038

APA

Jensen, S. J. K., & Mouritsen, O. G. (1982). Critical parameters for the heat capacity of three-dimensional Ising ferromagnets. Journal of Physics A: Mathematical and General, 15(8), 2631-2636. https://doi.org/10.1088/0305-4470/15/8/038

Vancouver

Jensen SJK, Mouritsen OG. Critical parameters for the heat capacity of three-dimensional Ising ferromagnets. Journal of Physics A: Mathematical and General. 1982;15(8):2631-2636. https://doi.org/10.1088/0305-4470/15/8/038

Author

Jensen, S. J. K. ; Mouritsen, O. G. / Critical parameters for the heat capacity of three-dimensional Ising ferromagnets. In: Journal of Physics A: Mathematical and General. 1982 ; Vol. 15, No. 8. pp. 2631-2636.

Bibtex

@article{e1c9b8684e53499e9f5c1daab5f3aec3,
title = "Critical parameters for the heat capacity of three-dimensional Ising ferromagnets",
abstract = "The singularity of the heat capacity for the spin-1/2 Ising ferromagnet arrayed on simple cubic and diamond lattices is investigated through the analysis of high-precision Monte Carlo data for the internal energy. The analysis incorporates confluent singularities. Two least-squares fitting procedures are considered. In the first one, the leading confluent singularity amplitude is zero and the next confluent singularity is included. For both lattices this procedure gives accordance with: (i) the universal value for the ratio of the leading singularity amplitudes predicted from the epsilon expansion and (ii) the theoretical expectation of equality between the non-singular parts of the heat capacity above and below the critical temperature. In the second least-squares fitting procedure, the leading confluent singularity is finite. This leads to a fit which disagrees with both (i) and (ii). The Monte Carlo results suggest that the failure of the series analysis to accord with (i) and (ii) may be due to neglect of a rather large confluent singularity in the ferromagnetic phase.",
author = "Jensen, {S. J. K.} and Mouritsen, {O. G.}",
year = "1982",
doi = "10.1088/0305-4470/15/8/038",
language = "English",
volume = "15",
pages = "2631--2636",
journal = "Journal of Physics A: Mathematical and General",
issn = "0305-4470",
publisher = "IOP Publishing",
number = "8",

}

RIS

TY - JOUR

T1 - Critical parameters for the heat capacity of three-dimensional Ising ferromagnets

AU - Jensen, S. J. K.

AU - Mouritsen, O. G.

PY - 1982

Y1 - 1982

N2 - The singularity of the heat capacity for the spin-1/2 Ising ferromagnet arrayed on simple cubic and diamond lattices is investigated through the analysis of high-precision Monte Carlo data for the internal energy. The analysis incorporates confluent singularities. Two least-squares fitting procedures are considered. In the first one, the leading confluent singularity amplitude is zero and the next confluent singularity is included. For both lattices this procedure gives accordance with: (i) the universal value for the ratio of the leading singularity amplitudes predicted from the epsilon expansion and (ii) the theoretical expectation of equality between the non-singular parts of the heat capacity above and below the critical temperature. In the second least-squares fitting procedure, the leading confluent singularity is finite. This leads to a fit which disagrees with both (i) and (ii). The Monte Carlo results suggest that the failure of the series analysis to accord with (i) and (ii) may be due to neglect of a rather large confluent singularity in the ferromagnetic phase.

AB - The singularity of the heat capacity for the spin-1/2 Ising ferromagnet arrayed on simple cubic and diamond lattices is investigated through the analysis of high-precision Monte Carlo data for the internal energy. The analysis incorporates confluent singularities. Two least-squares fitting procedures are considered. In the first one, the leading confluent singularity amplitude is zero and the next confluent singularity is included. For both lattices this procedure gives accordance with: (i) the universal value for the ratio of the leading singularity amplitudes predicted from the epsilon expansion and (ii) the theoretical expectation of equality between the non-singular parts of the heat capacity above and below the critical temperature. In the second least-squares fitting procedure, the leading confluent singularity is finite. This leads to a fit which disagrees with both (i) and (ii). The Monte Carlo results suggest that the failure of the series analysis to accord with (i) and (ii) may be due to neglect of a rather large confluent singularity in the ferromagnetic phase.

U2 - 10.1088/0305-4470/15/8/038

DO - 10.1088/0305-4470/15/8/038

M3 - Journal article

AN - SCOPUS:33744617181

VL - 15

SP - 2631

EP - 2636

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 8

ER -

ID: 238392542