Two coupled Ising planes: Phase diagram and interplanar force

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

Standard

Two coupled Ising planes : Phase diagram and interplanar force. / Hansen, Per Lyngs; Lemmich, Jesper; Ipsen, John Hjort; Mouritsen, Ole G.

In: Journal of Statistical Physics, Vol. 73, No. 3-4, 1993, p. 723-749.

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

Harvard

Hansen, PL, Lemmich, J, Ipsen, JH & Mouritsen, OG 1993, 'Two coupled Ising planes: Phase diagram and interplanar force', Journal of Statistical Physics, vol. 73, no. 3-4, pp. 723-749. https://doi.org/10.1007/BF01054347

APA

Hansen, P. L., Lemmich, J., Ipsen, J. H., & Mouritsen, O. G. (1993). Two coupled Ising planes: Phase diagram and interplanar force. Journal of Statistical Physics, 73(3-4), 723-749. https://doi.org/10.1007/BF01054347

Vancouver

Hansen PL, Lemmich J, Ipsen JH, Mouritsen OG. Two coupled Ising planes: Phase diagram and interplanar force. Journal of Statistical Physics. 1993;73(3-4):723-749. https://doi.org/10.1007/BF01054347

Author

Hansen, Per Lyngs ; Lemmich, Jesper ; Ipsen, John Hjort ; Mouritsen, Ole G. / Two coupled Ising planes : Phase diagram and interplanar force. In: Journal of Statistical Physics. 1993 ; Vol. 73, No. 3-4. pp. 723-749.

Bibtex

@article{f5fd378a534a4a1fb1f1f6208482a14b,
title = "Two coupled Ising planes: Phase diagram and interplanar force",
abstract = "The statistical mechanics of two Ising ferromagnetic planes coupled by a local interlayer two-spin interaction have been studied by means of a variety of calculational methods, including different mean-field approximations, Migdal-Kadanoff-type renormalization-group techniques, scaling theory, as well as numerical Monte Carlo simulation techniques. The phase diagram has been derived as a function of the interlayer coupling strength. Furthermore, various thermodynamic variables have been determined, including the interlayer correlation function, which is proportional to the interplanar force. It is found that a Migdal-Kadanoff renormalization with a decimation procedure which involves the interlayer coupling in an appropriate fashion provides an accurate description of the phase diagram and that a mean-field description provides a good description of the phase diagram and the interplanar force, except for very low interlayer coupling strengths.",
keywords = "interlayer coupling, Ising model, layered systems, mean-field theory, Monte Carlo simulation, phase diagram, renormalization group, scaling theory",
author = "Hansen, {Per Lyngs} and Jesper Lemmich and Ipsen, {John Hjort} and Mouritsen, {Ole G.}",
year = "1993",
doi = "10.1007/BF01054347",
language = "English",
volume = "73",
pages = "723--749",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer",
number = "3-4",

}

RIS

TY - JOUR

T1 - Two coupled Ising planes

T2 - Phase diagram and interplanar force

AU - Hansen, Per Lyngs

AU - Lemmich, Jesper

AU - Ipsen, John Hjort

AU - Mouritsen, Ole G.

PY - 1993

Y1 - 1993

N2 - The statistical mechanics of two Ising ferromagnetic planes coupled by a local interlayer two-spin interaction have been studied by means of a variety of calculational methods, including different mean-field approximations, Migdal-Kadanoff-type renormalization-group techniques, scaling theory, as well as numerical Monte Carlo simulation techniques. The phase diagram has been derived as a function of the interlayer coupling strength. Furthermore, various thermodynamic variables have been determined, including the interlayer correlation function, which is proportional to the interplanar force. It is found that a Migdal-Kadanoff renormalization with a decimation procedure which involves the interlayer coupling in an appropriate fashion provides an accurate description of the phase diagram and that a mean-field description provides a good description of the phase diagram and the interplanar force, except for very low interlayer coupling strengths.

AB - The statistical mechanics of two Ising ferromagnetic planes coupled by a local interlayer two-spin interaction have been studied by means of a variety of calculational methods, including different mean-field approximations, Migdal-Kadanoff-type renormalization-group techniques, scaling theory, as well as numerical Monte Carlo simulation techniques. The phase diagram has been derived as a function of the interlayer coupling strength. Furthermore, various thermodynamic variables have been determined, including the interlayer correlation function, which is proportional to the interplanar force. It is found that a Migdal-Kadanoff renormalization with a decimation procedure which involves the interlayer coupling in an appropriate fashion provides an accurate description of the phase diagram and that a mean-field description provides a good description of the phase diagram and the interplanar force, except for very low interlayer coupling strengths.

KW - interlayer coupling

KW - Ising model

KW - layered systems

KW - mean-field theory

KW - Monte Carlo simulation

KW - phase diagram

KW - renormalization group

KW - scaling theory

U2 - 10.1007/BF01054347

DO - 10.1007/BF01054347

M3 - Journal article

AN - SCOPUS:21344496559

VL - 73

SP - 723

EP - 749

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -

ID: 236890238