The percolation signature of the spin glass transition

DOI10.1007/s10955-007-9446-2zbMath1134.82047arXiv0707.0073OpenAlexW1978295827MaRDI QIDQ2477042

Charles M. Newman, Daniel L. Stein, Jonathan Machta

Publication date: 12 March 2008

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

Full work available at URL: https://arxiv.org/abs/0707.0073

zbMATH Keywords

percolationcluster algorithmsIsing spin glassgraphical representationsFortuin-Kasteleyn

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Lattice percolation approach to 3D modeling of tissue aging ⋮ Random-cluster correlation inequalities for Gibbs fields ⋮ Massively parallel simulations for disordered systems ⋮ FKG (and Other Inequalities) from (Generalized and Approximate) FK Random Cluster Representation (and Iterated Folding) ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman

Cites Work

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• Density and uniqueness in percolation
• Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses
• Replica symmetry breaking in short-range spin glasses: Theoretical foundations and numerical evidences
• Graphical representations for Ising systems in external fields
• Precolation of the minority spins in high-dimensional Ising models

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