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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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    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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