The finite density scaling laws of condensation transition in the stationary and dynamical zero range processes on scale-free networks
نویسندگان
چکیده
The dynamics of zero-range processes on complex networks is expected to be influenced by the underlying topological structure of networks. A real space complete condensation transition in the stationary state may occur. We have studied the finite density effects of the condensation transition in both the static and dynamical zero-range process on scale-free network. By means of grand canonical ensemble method, the analytical results reveal the existence of novel density dependent scaling laws in the stationary state, as well as in the relaxation dynamics of the condensation transition. We have performed the Monte Carlo simulations and those predicted density scaling laws are nicely validated.
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