We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of the Monte Carlo approach for a discrete system. We then formulate the cellular automaton problem using simple models and illustrate different types of possible phase transitions: density phase transitions of first and second order, damage spreading, dilution of deterministic rules, asynchronism- induced transitions, synchronization phenomena, chaotic phase transitions and the influence of the topology.

Phase Transitions of Cellular Automata / Bagnoli, Franco; Rechtman, Raúl. - STAMPA. - (2018), pp. 215-236. [10.1007/978-3-319-65558-1_15]

Phase Transitions of Cellular Automata

Bagnoli, Franco
;
Rechtman, Raúl
2018

Abstract

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of the Monte Carlo approach for a discrete system. We then formulate the cellular automaton problem using simple models and illustrate different types of possible phase transitions: density phase transitions of first and second order, damage spreading, dilution of deterministic rules, asynchronism- induced transitions, synchronization phenomena, chaotic phase transitions and the influence of the topology.
978-3-319-65556-7
978-3-319-65558-1
Probabilistic Cellular Automata
215
236
Bagnoli, Franco; Rechtman, Raúl
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1113337
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