Social phase transition in Solomon network

TL;DR

This paper investigates a social phase transition phenomenon in Solomon networks modeled by 1D and 2D Ising models with extended neighbors, revealing a non-zero critical temperature and analyzing critical behavior.

Contribution

It introduces a novel simulation of Solomon networks using extended neighbor interactions in Ising models, demonstrating social phase transitions at non-zero temperatures.

Findings

Social phase transition observed at non-zero Curie-like temperature

Critical exponent for magnetization behavior evaluated

Transition occurs even in one-dimensional models

Abstract

In this paper the Solomon network is simulated by means of 1D and 2D Ising model with additional -- not only geometrical -- neighbors. A "social phase transition" at a non-zero Curie-like temperature is observed, also in one dimension. The critical exponent describing the behavior of the magnetization in the vicinity of the transition is also evaluated.