Critical behavior of the geometrical spin clusters and interfaces in the two-dimensional thermalized bond Ising model

DOI10.1088/1742-5468/2012/02/P02015zbMath1456.82392arXiv1202.6683MaRDI QIDQ3301341

M. Moshfeghian, Abbas Ali Saberi, S. Davatolhagh

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1202.6683

Mathematics Subject Classification ID

Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27) Stochastic (Schramm-)Loewner evolution (SLE) (60J67) Stochastic analysis in statistical mechanics (82M60)

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Phase transition in a stochastic geometry model with applications to statistical mechanics ⋮ Recent advances in percolation theory and its applications

Cites Work

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• Geometrical vs. Fortuin--Kasteleyn clusters in the two-dimensional \(q\)-state Potts model
• The dimension of the SLE curves
• Scaling limits of loop-erased random walks and uniform spanning trees
• Higher conformal multifractality
• SLE for theoretical physicists
• Critical percolation in finite geometries
• Conformally Invariant Fractals and Potential Theory
• Schramm–Loewner evolution in the three-state Potts model—a numerical study

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