The Study of the Three-dimensional Spin-3/2 Ising Model on a Cellular Automaton

Seferoğlu, Nurgül

doi:10.4208/cicp.2009.09.096

Cited by 3 publications

(2 citation statements)

References 25 publications

(41 reference statements)

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“…Activities like cooperation and coalition forming have been traditionally approached by game theory in politics and diplomacy [28], yet it is only recently that the concepts of Statistical Physics have been applied. In this context, various investigations have been done by representations in terms of cellular automata, [29,30] or in terms of magnetic models on a Cayley tree, similar to what we propose in this work [31,32]. In this article we demonstrate that starting from a rather weak assumption, stating that each individual in the ensemble is an agent who can adopt three different states, we show that it is possible to effectively model a broad range of sociological processes.…”

Section: Introductionsupporting

confidence: 61%

A 3-states magnetic model of binary decisions in sociophysics

Fernández

Korutcheva

Rubia

2016

Physica A: Statistical Mechanics and its Applications

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Section: Introductionsupporting

confidence: 61%

A 3-states magnetic model of binary decisions in sociophysics

Fernández

Korutcheva

Rubia

2016

Physica A: Statistical Mechanics and its Applications

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“…Very recently, only the critical behavior of the three-dimensional spin-3/2 BEG model has been studied by using cooling algorithm. [18] The purpose of the present paper is to obtain the phase diagram of the model on a cellular automaton and to give an answer whether or not the phase diagram contains a critical end point. In addition, we also interest to compare the results obtained by two algorithms, especially at low temperature region.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Spin-3/2 Blume—Capel Model on a Cellular Automaton with Heating and Cooling Algorithm

Seferoğlu¹

2011

Commun. Theor. Phys.

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The spin-3/2 Blume—Capel model is studied using the heating and cooling algorithms improved from the Creutz cellular automaton (CCA). The calculations are done on various sizes of the simple cubic lattice in the 0 ≤ D/J ≤ 5 parameter region. The phase diagram of the model and temperature variation of the thermodynamic quantities are obtained. We confirm the existence of a critical end point within the heating calculations. However, in contrast to the heating calculations, we do not obtain the first-order line at low temperature with cooling algorithm calculations. The results are compared with those of other theories.

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Phase boundaries of a spin-3/2 Blume–Emery–Griffiths model on a honeycomb lattice

Žukovič

Jaščur

2014

Journal of Magnetism and Magnetic Materials

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The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions between the respective phases. For positive values of the biquadratic to bilinear interaction ratio α, we find two ferromagnetically ordered phases, F 1 and F 2 , with the sublattice magnetizations (1/2, 1/2) and (3/2, 3/2), respectively, and our results confirm the discontinuous character of the order-disorder critical line as a function of the singleion anisotropy strength, predicted by the effective-field theory (EFT). For negative values of α, there is another ferrimagnetic (F RM ) phase of the type (1/2, 3/2), located between F 1 and F 2 . However, the step-like variation of the order-disorder critical frontier obtained from EFT for large negative α is not reproduced and thus deemed artifact of the EFT approximation. Finite-size scaling analysis performed at various points between the respective identified phases gave the ratio of critical exponents γ/ν consistent with the 2D Ising universality class, except in the vicinity of the boundary intersection, where the results deviated from the standard values beyond the measurement errors.

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The Study of the Three-dimensional Spin-3/2 Ising Model on a Cellular Automaton

Cited by 3 publications

References 25 publications

A 3-states magnetic model of binary decisions in sociophysics

A 3-states magnetic model of binary decisions in sociophysics

Simulation of Spin-3/2 Blume—Capel Model on a Cellular Automaton with Heating and Cooling Algorithm

Phase boundaries of a spin-3/2 Blume–Emery–Griffiths model on a honeycomb lattice

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