Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions

Details Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions

2006-10-20

arxiv.org/abs/physics/0610160v1

Physics

Physics and Society

9 pages, 4 figures

Scientific paper

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 applications in the social and economic fields.

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