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Determining the Critical Temperature of the Continuous-State Game of Life

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Cellular Automata (ACRI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7495))

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Abstract

This paper proposes a simple algorithm to find the critical temperature of the continuous-state Game of Life (GoL). The algorithm conducts the transitions of cells and the update of the temperature parameter alternatingly. The temperature starts from a low value and it increases gradually, while a fixed GoL pattern evolves. This process continues, but before the temperature exceeds the critical temperature, the update algorithm acts to decrease it, so as to prevent overshoot of the temperature, which would make the cell states deviate from the normal GoL behavior. An oscillatory value of the temperature can be observed, but it converges towards a fixed value, indicating that its critical point is being approached.

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Author information

Authors and Affiliations

  1. Nano ICT Group, National Institute of Information and Communications Technology, Japan

    Susumu Adachi, Jia Lee & Ferdinand Peper

  2. College of Computer Science, Chong Qing University, China

    Jia Lee

  3. Division of Computer Engineering, University of Hyogo, Japan

    Teijiro Isokawa

  4. Faculty of Engineering, Hiroshima University, Japan

    Katsunobu Imai

Authors
  1. Susumu Adachi
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  2. Jia Lee
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  3. Ferdinand Peper
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  4. Teijiro Isokawa
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  5. Katsunobu Imai
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Laboratory of Electronics, Democritus University of Thrace, GR 67100, Xanthi, Greece

    Georgios Ch. Sirakoulis

  2. CSAI - Complex Systems and Artificial Intelligence Research Center, University of Milano-Bicocca, 20134, Milano, Italy

    Stefania Bandini

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© 2012 Springer-Verlag Berlin Heidelberg

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Adachi, S., Lee, J., Peper, F., Isokawa, T., Imai, K. (2012). Determining the Critical Temperature of the Continuous-State Game of Life. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_9

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  • DOI: https://doi.org/10.1007/978-3-642-33350-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33349-1

  • Online ISBN: 978-3-642-33350-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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