Cellular automata and statistical mechanical models

DOI10.1007/BF01009958zbMath0960.82524OpenAlexW2091000310MaRDI QIDQ1907318

Pàl Rujàn

Publication date: 21 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf01009958

zbMATH Keywords

stochastic processescellular automatatopological invariantsexact solutionsduality relationsmicrocanonical simulationsmultispin Ising modelspredictible behaviorstatic and dynamic critical phenomena

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) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (11)

Schrödinger invariance and strongly anisotropic critical systems ⋮ On a class of PCA with size-3 neighborhood and their applications in percolation games ⋮ Critical dynamics of one-dimensional irreversible systems ⋮ Statistical mechanics of probabilistic cellular automata. ⋮ Metastability for reversible probabilistic cellular automata with self-interaction ⋮ Hyperbolic Coxeter groups, symmetry group invariants for lattice models in statistical mechanics and the Tutte-Beraha numbers ⋮ From equilibrium spin models to probabilistic cellular automata ⋮ From PCA's to equilibrium systems and back ⋮ Shock profiles for the asymmetric simple exclusion process in one dimension ⋮ From quantum cellular automata to quantum lattice gases ⋮ Cellular automata and discrete neural networks

Cites Work

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• Invariants in automata networks
• Extrapolation of sequences using a generalized epsilon-algorithm
• The Cosmological Question in Newton's Science
• Time-Dependent Statistics of the Ising Model
• Generalized Morse sequences
• Statistics of the Two-Dimensional Ferromagnet. Part I
• Statistics of the Two-Dimensional Ferromagnet. Part II
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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