Integrability of a deterministic cellular automaton driven by stochastic boundaries

DOI10.1088/1751-8113/49/18/185003zbMath1365.37014arXiv1512.01385OpenAlexW2256809252WikidataQ62269517 ScholiaQ62269517MaRDI QIDQ2991868

Tomaž Prosen, Carlos Mejía-Monasterio

Publication date: 10 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01385

zbMATH Keywords

Markov chainnonequilibrium steady statediscrete integrable systemreversible cellular automaton

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ergodicity, mixing, rates of mixing (37A25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Dynamical aspects of cellular automata (37B15)

Related Items (8)

Integrability breaking in the Rule 54 cellular automaton ⋮ On two reversible cellular automata with two particle species ⋮ Exact matrix product decay modes of a boundary driven cellular automaton ⋮ Rule 54: exactly solvable model of nonequilibrium statistical mechanics ⋮ Time-dependent matrix product ansatz for interacting reversible dynamics ⋮ Two extensions of exact nonequilibrium steady states of a boundary-driven cellular automaton ⋮ Matrix product state of multi-time correlations ⋮ Hydrodynamic projections and the emergence of linearised Euler equations in one-dimensional isolated systems

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