A new class of cellular automata with a discontinuous glass transition

DOI10.1007/s10955-007-9420-zzbMath1134.82018arXiv0709.0378OpenAlexW3101349761MaRDI QIDQ2477039

Cristina Toninelli, Giulio Biroli

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/0709.0378

zbMATH Keywords

cellular automatafinite size scalingglass transitionbootstrap percolation

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of cellular automata (37B15)

Related Items (11)

Truncated long-range percolation on oriented graphs ⋮ Scaling and Inverse Scaling in Anisotropic Bootstrap Percolation ⋮ Critical percolation in bidimensional coarsening ⋮ Time scale separation and dynamic heterogeneity in the low temperature East model ⋮ Bootstrap percolation and kinetically constrained models on hyperbolic lattices ⋮ Kinetically constrained spin models ⋮ Kinetically constrained lattice gases ⋮ Subcritical $\mathcal {U}$-bootstrap percolation models have non-trivial phase transitions ⋮ Jamming transition in kinetically constrained models with reflection symmetry ⋮ Mixing time and local exponential ergodicity of the east-like process in \(\mathbb{Z}^d\) ⋮ \(\mathcal{U}\)-bootstrap percolation: critical probability, exponential decay and applications

Cites Work

• Unnamed Item
• Oriented percolation in two dimensions
• On the behavior of some cellular automata related to bootstrap percolation
• Correlation inequalities on some partially ordered sets
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Sudden emergence of a giant \(k\)-core in a random graph
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Kinetically constrained spin models
• The threshold regime of finite volume bootstrap percolation.
• The critical contact process dies out
• Facilitated Spin Models: Recent and New Results
• Metastability effects in bootstrap percolation

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