Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions
S. Jain, T. Yamano
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 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 in this model. We also discuss the implications of our results for applications in the social and economic fields.
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