From modeling of political opinion formation to two-spin statistical physics model

TL;DR

This paper introduces a two-spin statistical physics model inspired by opinion formation dynamics in society, analyzing phase behavior and stable states related to social attitudes through renormalization group methods.

Contribution

It develops a novel two-spin model with complex interactions to better understand stable societal opinion states and their relation to social conflicts.

Findings

Specific heat and correlation functions depend on temperature and interaction parameters.

Insite and NNN interactions significantly influence model stability.

Model helps identify stable opinion states in societal dynamics.

Abstract

A two-spin system based on the idea used to formulate the dynamical model simulating the process of opinion spreading in a society, where people adopt one of the four social attitudes [Physica A 351, 593 (2005)] is studied. The model is made of chains with two species of spins S and V at each site coupled by an insite interaction ~M0 and interacting in different way with nearest (NN) and next-nearest (NNN) neighbors. The one-dimensional model with only NN interaction of the S spins and both NN and NNN interactions of the V spins (ACLS model) is analyzed. Using the linear renormalization group (LRG) the dependences of the specific heat and correlation functions on temperature and ~M0 are calculated. The roles of the insite and NNN interactions are considered. The usefulness of the ACLS model to define stable states of the dynamical model describing opinion spreading in a society, which members represent four different attitudes to the level of freedom in two areas: personal and economic is discussed. It is pointed out that the difficulties in organizing modern societies can result from an internal con ict between these two areas. 1