The time evaluation of resistance probability of a closed community against to occupation in a Sznajd like model with synchronous updating: A numerical study

TL;DR

This study uses a Sznajd-like sociophysics model based on Ising spins to numerically analyze how a closed community's resistance probability decays over time against occupation, revealing a non-exponential decay pattern.

Contribution

It introduces a new simple sociophysics model for resistance dynamics and demonstrates its universal behavior aligns with a random walk process on trapping space.

Findings

Resistance probability decays as a stretched exponential.

Decay pattern is independent of the number of soldiers.

Model belongs to the same universality class as random walk on trapping space.

Abstract

In the present paper, we have briefly reviewed Sznajd's sociophysics model and its variants, and also we have proposed a simple Sznajd like sociophysics model based on Ising spin system in order to explain the time evaluation of resistance probability of a closed community against to occupation. Using a numerical method, we have shown that time evaluation of resistance probability of community has a non-exponential character which decays as stretched exponential independent the number of soldiers in one dimensional model. Furthermore, it has been astonishingly found that our simple sociophysics model is belong to the same universality class with random walk process on the trapping space.