Stationary and dynamical properties of a zero-range process on scale-free networks.
We study the condensation phenomenon in a zero-range process on scale-free networks. We show that the stationary state property depends only on the degree distribution of underlying networks. The model displays a stationary state phase transition between a condensed phase and an uncondensed phase, and the phase diagram is obtained analytically. As for the dynamical property, we find that the relaxation dynamics depends on the global structure of underlying networks. The relaxation time follows the power law tau approximately Lz with the network size L in the condensed phase. The dynamic exponent z is found to take a different value depending on whether underlying networks have a tree structure or not.
Noh
Jae Dong
JD
Department of Physics, Chungnam National University, Daejeon 305-764, Korea.