Equilibrium and nonequilibrium in the three-dimensional Q2R cellular automata

Felipe Urbina
Phys. Rev. E 101, 012111 – Published 8 January 2020

Abstract

I study the equilibrium and nonequilibrium dynamics of a conservative and reversible Q2R cellular automata. This system exhibits a configuration space with 22N states, which grows with the size of the system. In this context, for small size, the phase space has fixed points and cycles. Through numerical studies and using a statistical approach, I can observe stable and unstable behaviors as well as a phase transition around a critical energy Ec. I introduce a coupling constant as a perturbation to the classic Q2R model and show through the phase diagram how this modified model exhibits three different phases.

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  • Received 19 September 2019

DOI:https://doi.org/10.1103/PhysRevE.101.012111

©2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsInterdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

Felipe Urbina

  • Centro de Investigación DAiTA Lab, Facultad de Estudios Interdisciplinarios, Universidad Mayor, Santiago 7560913, Chile

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Issue

Vol. 101, Iss. 1 — January 2020

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