Monte Carlo study for the thermodynamic and dynamic phase transitions in the spin-\(S\) Ising model on Sierpiński carpet

DOI10.1088/1742-5468/AD0A91MaRDI QIDQ6620175

Mouhcine Azhari, Hoseung Jang, Unjong Yu

Publication date: 16 October 2024

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

zbMATH Keywords

fractal growthfinite-size scalingclassical phase transitionskinetic Ising modelsclassical Monte Carlo simulationsccritical exponents and amplitudes

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Isotropic majority-vote model on a square lattice
• Anomalous dimension exponents on fractal structures for the Ising and three-state Potts model
• Critical phenomena and renormalization-group theory
• Universality classes in nonequilibrium lattice systems
• Translational invariance in critical phenomena Ising model on a quasi-lattice
• Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result
• Monte Carlo studies of the Blume–Capel model on nonregular two- and three-dimensional lattices: phase diagrams, tricriticality, and critical exponents
• Beitrag zur Theorie des Ferromagnetismus
• Equation of State Calculations by Fast Computing Machines

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