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

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  • 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\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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  • S. Jain & T. Yamano, 2006. "Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions," Papers physics/0610160, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0610160
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