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Heider balance of a chain of actors as dependent on the interaction range and a thermal noise

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  • Malarz, Krzysztof
  • Kułakowski, Krzysztof

Abstract

The Heider balance is investigated in a chain of actors, with periodic boundary conditions and the neighborhood of range r, with r as a parameter. Two model dynamics are applied: a deterministic cellular automaton [Malarz et al., Physica D 411 (2020) 132556] and the heat-bath algorithm, with the density of unbalanced–balanced triads in the role of energy. The outcome is a spectrum of energy in stationary and blinking states and a balanced–unbalanced network transition driven by thermal noise. The critical point Tc increases with the range r and it does not depend on the system size.

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  • Malarz, Krzysztof & Kułakowski, Krzysztof, 2021. "Heider balance of a chain of actors as dependent on the interaction range and a thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    • Handle: RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120309389
    DOI: 10.1016/j.physa.2020.125640
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    References listed on IDEAS

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    1. Krzysztof Kułakowski & Przemysław Gawroński & Piotr Gronek, 2005. "The Heider Balance: A Continuous Approach," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 707-716.
    2. Goodrich, Christopher S. & Matache, Mihaela T., 2007. "The stabilizing effect of noise on the dynamics of a Boolean network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 334-356.
    3. Hassanibesheli, Forough & Hedayatifar, Leila & Gawroński, Przemysław & Stojkow, Maria & Żuchowska-Skiba, Dorota & Kułakowski, Krzysztof, 2017. "Gain and loss of esteem, direct reciprocity and Heider balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 334-339.
    4. Alessio Emanuele Biondo & Alessandro Pluchino & Andrea Rapisarda, 2012. "The beneficial role of random strategies in social and financial systems," Papers 1209.5881, arXiv.org, revised Jan 2013.
    5. Krawczyk, Małgorzata J. & del Castillo-Mussot, Marcelo & Hernández-Ramírez, Eric & Naumis, Gerardo G. & Kułakowski, Krzysztof, 2015. "Heider balance, asymmetric ties, and gender segregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 66-74.
    6. K. Kułakowski & M. Stojkow & D. Żuchowska-Skiba, 2020. "Heider balance, prejudices and size effect," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 44(3), pages 129-137, July.
    7. Hirokazu Shirado & Nicholas A. Christakis, 2017. "Locally noisy autonomous agents improve global human coordination in network experiments," Nature, Nature, vol. 545(7654), pages 370-374, May.
    8. Agnieszka Kowalska-Styczeń & Krzysztof Malarz, 2020. "Noise induced unanimity and disorder in opinion formation," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-22, July.
    9. Kaufman, Bruce E., 1999. "Emotional arousal as a source of bounded rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 135-144, February.
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    Cited by:

    1. Deng, Hongzhong & Qi, Mingze & Li, Mengjun & Ge, Bingfeng, 2021. "Limited cognitive adjustments in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

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