Exact matrix product decay modes of a boundary driven cellular automaton

DOI10.1088/1751-8121/aa85a3zbMath1377.82034arXiv1705.06645OpenAlexW3104067865MaRDI QIDQ4588398

Berislav Buča, Tomaž Prosen

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1705.06645

zbMATH Keywords

Markov chainsintegrabilitymatrix product ansatznonequilibrium steady statereversible cellular automatondecay modes

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (7)

On two reversible cellular automata with two particle species ⋮ Unnamed Item ⋮ Integrable Floquet dynamics, generalized exclusion processes and ``fused matrix ansatz ⋮ 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

Cites Work

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• Nonequilibrium steady states of matrix-product form: a solver's guide

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