A modified one-dimensional Sznajd model
Statistical Mechanics
2007-05-23 v1
Abstract
The Sznajd model is an Ising spin model representing a simple mechanism of making up decisions in a closed community. In the model each member of the community can take two attitudes A or B represented by a spin up or spin down state respectively. It has been shown that, in one-dimension starting from a totally random initial state, three final fixed points can be obtained; all spins up, all spins down or an antiferromagnetic state in which each site take a state which is opposite from its two nearest neighbors. Here, a modification of the updating rule of the Sznajd model is proposed in order to avoid such antiferromagnetic state since it is considered to be an unrealistic state in a real community.
Keywords
Cite
@article{arxiv.cond-mat/0408518,
title = {A modified one-dimensional Sznajd model},
author = {Juan R. Sanchez},
journal= {arXiv preprint arXiv:cond-mat/0408518},
year = {2007}
}