title: Complete condensation in a zero range process on scale-free networks.
abstract: We study a zero range process on scale-free networks in order to investigate how network structure influences particle dynamics. The zero range process is defined with the rate p(n) = n(delta) at which particles hop out of nodes with n particles. We show analytically that a complete condensation occurs when delta < or = delta(c) triple bond 1/(gamma-1) where gamma is the degree distribution exponent of the underlying networks. In the complete condensation, those nodes whose degree is higher than a threshold are occupied by macroscopic numbers of particles, while the other nodes are occupied by negligible numbers of particles. We also show numerically that the relaxation time follows a power-law scaling tau approximately L(z) with the network size L and a dynamic exponent z in the condensed phase.
authors.affiliation: Department of Physics, Chungnam National University, Daejeon, Korea.
authors.forename: Jae Dong
authors.initials: JD
authors.lastname: Noh
authors.forename: G M
authors.initials: GM
authors.lastname: Shim
authors.forename: Hoyun
authors.initials: H
authors.lastname: Lee