Critical behavior of the Blume-Emery-Griffiths model for a simple cubic lattice on the cellular automaton

DOI10.1007/S10955-007-9392-ZzbMath1133.82008arXivcond-mat/0603366OpenAlexW1968991623MaRDI QIDQ2468257

B. Kutlu, N. Seferoğlu

Publication date: 22 January 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0603366

zbMATH Keywords

simple cubic latticespin-1 Ising modelCreutz cellular automatonre-entrant phase transition

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Cellular automata (computational aspects) (68Q80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

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Cites Work

• The test of the finite-size scaling relations for the seven-dimensional Ising model on the Creutz cellular automaton
• Nonsymmetric first-order transitions: finite-size scaling and tests for infinite-range models.
• THE SIMULATION OF 2D SPIN-1 ISING MODEL WITH POSITIVE BIQUADRATIC INTERACTION ON A CELLULAR AUTOMATON
• THE TRICRITICAL BEHAVIOR OF THE 3D BLUME–CAPEL MODEL ON A CELLULAR AUTOMATON
• The finite-size scaling functions of the four-dimensional Ising model

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