A mean-field model of Heider balance with heterogeneous link temperatures shows that the inverse-temperature distribution's tail behavior governs the transition between polarized and non-polarized states, with universal bounds.
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In the structural-balance limit the signs of Heider relations are exactly the products of nearest-neighbor Ising spins, so the balanced Heider model with external field is equivalent to the field-free Ising model.
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Mean-Field Theory for Heider Balance under Heterogeneous Social Temperatures
A mean-field model of Heider balance with heterogeneous link temperatures shows that the inverse-temperature distribution's tail behavior governs the transition between polarized and non-polarized states, with universal bounds.
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Relationship between Heider links and Ising spins
In the structural-balance limit the signs of Heider relations are exactly the products of nearest-neighbor Ising spins, so the balanced Heider model with external field is equivalent to the field-free Ising model.