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

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 $T_c$ increases with the range $r$ and it does not depend on the system size.

Contribution to the special issue of Physica A in memory of Dietrich Stauffer

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Cited by in corpus (7)

• Hybrid balance theory: Heider balance under higher order interactions
• Towards the Heider balance -- a cellular automaton with a global neighborhood
• Thermal properties of structurally balanced systems on classical random graphs
• Thermal properties of structurally balanced systems on diluted and densified triangulations
• Expulsion from structurally balanced paradise
• Mean-Field Theory for Heider Balance under Heterogeneous Social Temperatures
• Heider balance on Archimedean lattices and cliques