The finite-size scaling study of the Ising model for the fractals

DOI10.1007/s10773-015-2843-4zbMath1338.82017OpenAlexW2219926274MaRDI QIDQ292971

A. Günen, M. Bülbül, M. Bayirli, Ziya Merdan

Publication date: 9 June 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2843-4

zbMATH Keywords

Ising modelfractalscellular automatonfinite-size scaling

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Proposed connection between critical exponents and fractal dimensions in the Ising model
• Critical phenomena. Proceedings of the Summer School, held at the University of Stellenbosch, South Africa, January 18-29, 1982
• 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 finite-size scaling study of the specific heat and the Binder parameter for the six-dimensional Ising model
• 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
• Invariant in cellular automata
• THE EFFECT OF THE INCREASE OF LINEAR DIMENSIONS ON EXPONENTS OBTAINED BY FINITE-SIZE SCALING RELATIONS FOR THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

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