Persistence in a Random Bond Ising Model of Socio-Econo Dynamics

TL;DR

This study investigates the persistence behavior in a socio-economic Ising model through computer simulations across multiple dimensions, revealing the influence of bond concentration and dimension on persistence decay without evidence of blocking.

Contribution

The paper introduces a finite-temperature socio-economic Ising model with bond disorder and analyzes how persistence varies with dimension and bond concentration, highlighting the absence of blocking.

Findings

Persistence decay depends on dimension and bond concentration

No evidence of blocking in the model

Implications for social and economic modeling

Abstract

We study the persistence phenomenon in a socio-econo dynamics model using computer simulations at a finite temperature on hypercubic lattices in dimensions up to 5. The model includes a ` social\rq local field which contains the magnetization at time $t$. The nearest neighbour quenched interactions are drawn from a binary distribution which is a function of the bond concentration, $p$. The decay of the persistence probability in the model depends on both the spatial dimension and $p$. We find no evidence of ` blocking\rq in this model. We also discuss the implications of our results for possible applications in the social and economic fields. It is suggested that the absence, or otherwise, of blocking could be used as a criterion to decide on the validity of a given model in different scenarios.