Ergodic properties and thermodynamic behavior of elementary reversible cellular automata. I. Basic properties.

DOI10.1007/BF01044442zbMath1206.82065OpenAlexW2061023586MaRDI QIDQ627782

Shinji Takesue

Publication date: 4 March 2011

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

Full work available at URL: https://doi.org/10.1007/bf01044442

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical aspects of cellular automata (37B15) Dynamical aspects of statistical mechanics (37A60)

Related Items (8)

On conservative and monotone one-dimensional cellular automata and their particle representation ⋮ An order-preserving property of additive invariants for Takesue-type reversible cellular automata ⋮ Statistical mechanics of surjective cellular automata ⋮ Relaxation properties of elementary reversible cellular automata ⋮ Additive conserved quantities in discrete-time lattice dynamical systems ⋮ Boltzmann-type equations for elementary reversible cellular automata ⋮ Two extensions of exact nonequilibrium steady states of a boundary-driven cellular automaton ⋮ Fourier’s law and the Green-Kubo formula in a cellular-automaton model

Cites Work

• Algebraic properties of cellular automata
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• Invariant in cellular automata
• Statistical mechanics of cellular automata
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• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Thermodynamics and Hydrodynamics for a Modeled Fluid
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