Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs

DOI10.1007/s10955-019-02403-3zbMath1431.82017arXiv1906.02546OpenAlexW3106287924WikidataQ127025261 ScholiaQ127025261MaRDI QIDQ2283157

Roberto D'Autilia, Valentina Apollonio, Benedetto Scoppola, Alessio Troiani, Elisabetta Scoppola

Publication date: 30 December 2019

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

Full work available at URL: https://arxiv.org/abs/1906.02546

zbMATH Keywords

phase transitionsIsing modelcorrelation functionsrandom cluster model

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items

Metastability for the Ising model on the hexagonal lattice ⋮ Shaken dynamics on the 3d cubic lattice ⋮ Parallel simulation of two-dimensional Ising models using probabilistic cellular automata ⋮ Shaken dynamics: an easy way to parallel Markov chain Monte Carlo ⋮ Metastability for Kawasaki dynamics on the hexagonal lattice

Cites Work

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• Exact sampling with coupled Markov chains and applications to statistical mechanics
• How to couple from the past using a read-once source of randomness
• The Random-Cluster Model