The effect of the increase of linear dimensions on exponents obtained by finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton

DOI10.1016/j.amc.2004.06.092zbMath1170.82315OpenAlexW2127256896MaRDI QIDQ2570703

Ziya Merdan, M. Bayirli

Publication date: 28 October 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.092

zbMATH Keywords

Ising modelsCellular automataCritical exponents

Mathematics Subject Classification ID

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) Dynamical aspects of cellular automata (37B15) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (6)

The finite-size scaling study of the Ising model for the fractals ⋮ PHASE DIAGRAMS OF THE FCC BLUME–EMERY–GRIFFITHS MODEL ON A CELLULAR AUTOMATON ⋮ Hyperscaling above the upper critical dimension ⋮ The effect of the number of simulations on the exponents obtained by finite-size scaling relations of the order parameter and the magnetic susceptibility for the four-dimensional Ising model on the Creutz cellular automaton ⋮ THE EFFECT OF THE DIPOLE–QUADRUPOLE INTERACTION ON THE PHASE SPACE OF THE SPIN-1 ISING MODEL ⋮ Cu–Au TYPE STRUCTURES IN THE STAGGERED QUADRUPOLAR REGION OF THE fcc BLUME–EMERY–GRIFFITHS MODEL

Cites Work

• Series and Monte Carlo study of high-dimensional Ising models
• 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.
• Microcanonical simulations with a large number of demons
• THE TEST OF THE FINITE-SIZE SCALING RELATIONS FOR THE FIVE-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON
• The finite-size scaling functions of the four-dimensional Ising model

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