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

Krzysztof Malarz and Krzysztof Kułakowski

Physica A: Statistical Mechanics and its Applications, 2021, vol. 567, issue C

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.

Keywords: Structural balance; Cellular automata; Heat-bath algorithm (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120309389

DOI: 10.1016/j.physa.2020.125640

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