English

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

General Finance 2009-11-13 v2 Disordered Systems and Neural Networks Computational Physics Physics and Society Statistical Finance

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 tt. The nearest neighbour quenched interactions are drawn from a binary distribution which is a function of the bond concentration, pp. The decay of the persistence probability in the model depends on both the spatial dimension and pp. 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.

Keywords

Cite

@article{arxiv.0709.1092,
  title  = {Persistence in a Random Bond Ising Model of Socio-Econo Dynamics},
  author = {S. Jain and T. Yamano},
  journal= {arXiv preprint arXiv:0709.1092},
  year   = {2009}
}

Comments

11 pages, 4 figures