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Automata and Complexity pp 203–217Cite as

Thermodynamics of Small Systems Through a Reversible and Conservative Discrete Automaton

Part of the Emergence, Complexity and Computation book series (ECC,volume 42)

Abstract

The Q2R model is a cellular automaton which is a dynamical variation of the Ising model for ferromagnetism that possesses quite rich and complex dynamics. It has the property of being conservative and reversible but, in practice, it shows irreversible behavior for relatively small system sizes. In this work we review some of its main properties and use it to simulate de behavior of a classical model for irreversible thermodynamical systems: the Ehrenfest’s dog-flea model.

Keywords

  • Fixed point
  • Cycle
  • Cellular automata

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Notes

  1. 1.

    Other dynamical invariants are known in the literature [10].

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Author information

Authors and Affiliations

  1. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile

    Marco Montalva-Medel & Sergio Rica

  2. Instituto de Física, Pontificia Universidad Católica de Chile, Santiago, Chile

    Sergio Rica

  3. Facultad de Estudios Interdisciplinarios, Centro de Investigación DAiTA Lab, Universidad Mayor, Santiago, Chile

    Felipe Urbina

Authors
  1. Marco Montalva-Medel
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  2. Sergio Rica
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  3. Felipe Urbina
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Corresponding author

Correspondence to Sergio Rica .

Editor information

Editors and Affiliations

  1. Unconventional Computing Centre, University of the West of England, Bristol, UK

    Prof. Andrew Adamatzky

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Montalva-Medel, M., Rica, S., Urbina, F. (2022). Thermodynamics of Small Systems Through a Reversible and Conservative Discrete Automaton. In: Adamatzky, A. (eds) Automata and Complexity. Emergence, Complexity and Computation, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-030-92551-2_13

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  • DOI: https://doi.org/10.1007/978-3-030-92551-2_13

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