Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

MONTE CARLO STUDY OF THE ORDER OF PHASE TRANSITION OF A MULTISPIN INTERACTIONS ISING MODEL

Zhang Guo-min, YANG CHUAN-ZHANG, 苏州大学物理系,苏州215006

Published Jan 1, 1993• 1 citation
Publisher

Abstract

The order of phase transition of a two-dimensional Ising model with m-body interactions in the horizontal direction and n-body interactions in the vertical direction in the m = 3, n = 3 case is of the first-order which is determined by our Monte Carlo algorithm, while in the m= 3,n=2 case the transition is of the second order.
DOI
10.7498/aps.42.1680

Related papers

Numerical determination of the order of phase transitions in Ising systems with multispin interactions

Nestor Caticha, Jorge Chahine, J. R. Drugowich de Felício

The method of the fourth-order cumulant of Challa, Landau, and Binder is used together with the Monte Carlo histogram technique of Ferrenberg and Swendsen to study the order of the phase transitions of two-dimensional Ising systems with multispin interactions in the horizontal direction and two-body interactions in the vertical direction.

Physical review. B, Condensed matter•Jan 1, 1991•7 citations

Monte Carlo Study of the Order of the Phase Transition in Ising Systems with Multispin Interactions

Guo‐Ming Zhang, Chuan‐Zhang Yang

Abstract By analyzing the finite‐size behavior of the maxima of the specific heat near the phase transition temperature, the order of phase transition of two‐dimensional Ising systems with multispin interactions in the horizontal direction and two‐body interactions in the vertical direction are determined. The results strongly support the Turban conjectures.

physica status solidi (b)•Feb 1, 1993•5 citations

Numerical determination of the order of phase transition of the two-dimensional Potts model with multispin interactions

Guo‐Ming Zhang, Chuan‐Zhang Yang

The method of the fourth-order cumulant of energy is used together with the Monte Carlo histogram technique to study the order of phase transition of the two-dimensional Potts model with m-spin interactions in the horizontal direction and n-spin interactions in the vertical direction.

Journal of Physics A Mathematical and General•Oct 7, 1993•5 citations

MONTE-CARLO SIMULATIONS OF PHASE TRANSITIONS IN THE TWO-DIMENSIONAL ISING MODEL WITH LONG-RANGE CORRELATIONS

Alexander Alexandrovich Biryukov, И. В. Дегтярева, Марк Александрович Шлеенков

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

Vestnik of Samara University Natural Science Series•Dec 9, 2012•1 citation

MONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS

Alexander Alexandrovich Biryukov, Y.V. Degtyarova

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

Vestnik of Samara University Natural Science Series•Dec 17, 2015•0 citations

First- and second-order phase transitions in Heisenberg’s quantum model with multispin exchange

Akai Kurbanovich Murtazaev, I. A. Favorskii

First- and second-order phase transitions in the isotropic Heisenberg model with multispin exchange were investigated with the help of the quantum Monte Carlo method. The calculations were performed for a system with spin S = 1/2 and N = L3 spins (L = 8, 12, and 16) on simple cubic lattices with periodic boundary conditions. A relation between the pair and multispin exchange constants for which the second- order phase transitions are replaced by first-order phase transitions is established. First-order phase transitions have not been studied previously by the quantum Monte Carlo method. Phase diagrams were constructed for the model under study. The computational results are compared with the method of Green’s functions and the molecular-field theory.

Soviet Journal of Low Temperature Physics•Feb 1, 1992•0 citations
The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.
First- and second-order phase transitions in the isotropic Heisenberg model with multispin exchange were investigated with the help of the quantum Monte Carlo method. The calculations were performed for a system with spin S = 1/2 and N = L3 spins (L = 8, 12, and 16) on simple cubic lattices with periodic boundary conditions. A relation between the pair and multispin exchange constants for which the second- order phase transitions are replaced by first-order phase transitions is established. First-order phase transitions have not been studied previously by the quantum Monte Carlo method. Phase diagrams were constructed for the model under study. The computational results are compared with the method of Green’s functions and the molecular-field theory.