Persistence in a random bond ising model of socio-econo dynamics

Sudhir Jain, T. Yamano

Research output: Contribution to journalArticlepeer-review

Abstract

We study the persistence phenomenon in a socio-econo dynamics model using computer simulations at a nite temperature on hypercubic lattices in dimensions up to ve. The model includes a \social" local eld 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 nd no evidence of \blocking" in this model. We also discuss the implications of our results for possible applications in the social and economic elds. 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 dierent scenarios.
Original languageEnglish
Pages (from-to)161-168
Number of pages8
JournalInternational Journal of Modern Physics C
Volume19
Issue number1
DOIs
Publication statusPublished - Jan 2008

Keywords

  • econophysics
  • sociophysics
  • non-equilibrium dynamics
  • ising models
  • persistence

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