Volume 72, Number 4, November 2005
|Page(s)||541 - 547|
|Published online||14 October 2005|
Fluctuation of incoming flux with multiplicative noise on a scale-free network
Department of Physics, University of Notre Dame - Notre Dame, IN 46556, USA
Accepted: 22 September 2005
We study the influence of topology on the dynamical properties of a diffusion process which can be described by a diffusion equation with multiplicative noise on a complex network. From numerical simulations we find that the fluctuation of the incoming mass on a given node of network scales with the average incoming mass, or flux, in a topology-dependent fashion. By combining numerical results with the Langevin equation of the associated process, we show that inhomogeneity of the underlying structure leads to the appearance of distinct dynamical regions in the system and a crossover behavior in the scaling of fluctuations with average flux.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 89.75.Hc – Networks and genealogical trees / 89.75.Da – Systems obeying scaling laws
© EDP Sciences, 2005
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