Effect of initial conditions on Glauber dynamics in complex networks
Abstract
The effect of initial spin configurations on zero-temperature Glauber spin dynamics in complex networks is investigated. In a system in which the initial spins are defined by centrality measures at the vertices of a network, a variety of non-trivial diffusive behaviors arise, particularly in relation to functional relationships between the initial and final fractions of positive spins, some of which exhibit a critical point. Notably, the majority spin in the initial state is not always dominant in the final state, and the phenomena that occur as a result of the dynamics differ according on the initial condition, even for the same network. It is thus concluded that the initial condition of a complex network exerts an influence on spin dynamics that is equally as strong as that exerted by the network structure.
Keywords
Cite
@article{arxiv.cond-mat/0702482,
title = {Effect of initial conditions on Glauber dynamics in complex networks},
author = {Makoto Uchida and Susumu Shirayama},
journal= {arXiv preprint arXiv:cond-mat/0702482},
year = {2007}
}
Comments
8 pages by two column style, 21 figures. Accepted for publication as a regular article in Physical Review E