Dynamical critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model

DOI10.1007/BF02174209zbMath0937.82026arXivhep-lat/9511022OpenAlexW2019177046WikidataQ58082988 ScholiaQ58082988MaRDI QIDQ1285266

Jesús Salas, Alan D. Sokal

Publication date: 6 June 2000

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

Full work available at URL: https://arxiv.org/abs/hep-lat/9511022

zbMATH Keywords

Monte Carlocluster algorithmIsing modelPotts modelcritical slowing downSwendsen-Wang algorithmAshkin-Teller modelautocorrelation timeLi-Sokal bounddynamical critical behaviorfitting correlated data

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items

Probability distributions of the work in the two-dimensional Ising model, The behavior of the three-dimensional Askin-Teller model at the mixed phase region by a new Monte Carlo approach, Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model, Unnamed Item, Dynamic critical behavior of the Chayes-Machta algorithm for the random-cluster model. I: Two dimensions, Entanglement entropy of two disjoint intervals inc= 1 theories, Fluctuation theory of connectivities for subcritical random cluster models, A power law of order 1/4 for critical mean-field Swendsen-Wang dynamics, Dynamical critical behavior of the Swendson-Wang algorithm: The two-dimensional three-state Potts model revisited, Universal amplitude ratios in the 2D four-state Potts model

Cites Work

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• More results on the Ashkin-Teller model
• Logarithmic corrections to finite-size scaling in the four-state Potts model.
• Correlation functions of the critical Ashkin-Teller model on a torus.
• The pivot algorithm: a highly efficient Monte Carlo method for the self-avoiding walk.
• Phase coexistence in partially symmetric \(q\)-state models
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Three-Colorings of the Square Lattice: A Hard Squares Model