Effect of initial conditions on Glauber dynamics in complex networks

Details Effect of initial conditions on Glauber dynamics in complex networks Effect of initial conditions on Glauber dynamics in complex networks

2007-02-21

arxiv.org/abs/cond-mat/0702482v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages by two column style, 21 figures. Accepted for publication as a regular article in Physical Review E

Scientific paper

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.

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