Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions

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Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions. / Mouritsen, O. G.; Jensen, S. J. Knak; Frank, B.

In: Physical Review B, Vol. 24, No. 1, 1981, p. 347-354.

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

Harvard

Mouritsen, OG, Jensen, SJK & Frank, B 1981, 'Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions', Physical Review B, vol. 24, no. 1, pp. 347-354. https://doi.org/10.1103/PhysRevB.24.347

APA

Mouritsen, O. G., Jensen, S. J. K., & Frank, B. (1981). Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions. Physical Review B, 24(1), 347-354. https://doi.org/10.1103/PhysRevB.24.347

Vancouver

Mouritsen OG, Jensen SJK, Frank B. Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions. Physical Review B. 1981;24(1):347-354. https://doi.org/10.1103/PhysRevB.24.347

Author

Mouritsen, O. G. ; Jensen, S. J. Knak ; Frank, B. / Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions. In: Physical Review B. 1981 ; Vol. 24, No. 1. pp. 347-354.

Bibtex

@article{a5b8364ba0b844ea9674ae37d184532a,
title = "Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions",
abstract = "The Monte Carlo technique is applied to a study of the phase transitions and the critical behavior of the spin- Ising model on an fcc lattice with mixtures of two- (J2) and four - (J4) spin interactions. In the limit J2=0 the model exhibits a first-order transition. The transition remains of first order for J4J212, but a crossover to continuous transitions is found around J4J214-12 indicating that the model exhibits tricritical behavior. A modified mean-field theory is presented leading to an approximate description of the tricritical behavior in agreement with the Monte Carlo calculations. In the region of continuous transitions. 0<~J4J214, the critical exponent pertaining to the order parameter derived from the Monte Carlo data retains the Ising value, in accordance with the universality hypothesis. Our findings show that the four-spin interactions do not lead to nonuniversal critical behavior, contrary to the conclusions made by Griffiths and Wood from a series analysis.",
author = "Mouritsen, {O. G.} and Jensen, {S. J. Knak} and B. Frank",
year = "1981",
doi = "10.1103/PhysRevB.24.347",
language = "English",
volume = "24",
pages = "347--354",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions

AU - Mouritsen, O. G.

AU - Jensen, S. J. Knak

AU - Frank, B.

PY - 1981

Y1 - 1981

N2 - The Monte Carlo technique is applied to a study of the phase transitions and the critical behavior of the spin- Ising model on an fcc lattice with mixtures of two- (J2) and four - (J4) spin interactions. In the limit J2=0 the model exhibits a first-order transition. The transition remains of first order for J4J212, but a crossover to continuous transitions is found around J4J214-12 indicating that the model exhibits tricritical behavior. A modified mean-field theory is presented leading to an approximate description of the tricritical behavior in agreement with the Monte Carlo calculations. In the region of continuous transitions. 0<~J4J214, the critical exponent pertaining to the order parameter derived from the Monte Carlo data retains the Ising value, in accordance with the universality hypothesis. Our findings show that the four-spin interactions do not lead to nonuniversal critical behavior, contrary to the conclusions made by Griffiths and Wood from a series analysis.

AB - The Monte Carlo technique is applied to a study of the phase transitions and the critical behavior of the spin- Ising model on an fcc lattice with mixtures of two- (J2) and four - (J4) spin interactions. In the limit J2=0 the model exhibits a first-order transition. The transition remains of first order for J4J212, but a crossover to continuous transitions is found around J4J214-12 indicating that the model exhibits tricritical behavior. A modified mean-field theory is presented leading to an approximate description of the tricritical behavior in agreement with the Monte Carlo calculations. In the region of continuous transitions. 0<~J4J214, the critical exponent pertaining to the order parameter derived from the Monte Carlo data retains the Ising value, in accordance with the universality hypothesis. Our findings show that the four-spin interactions do not lead to nonuniversal critical behavior, contrary to the conclusions made by Griffiths and Wood from a series analysis.

U2 - 10.1103/PhysRevB.24.347

DO - 10.1103/PhysRevB.24.347

M3 - Journal article

AN - SCOPUS:25944452260

VL - 24

SP - 347

EP - 354

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 1

ER -

ID: 238393139