title: Phase ordering in coupled noisy bistable systems on scale-free networks.
abstract: We study a system consisting of diffusively coupled noisy bistable elements on a scale-free random network. This system exhibits an order-disorder phase transition as the noise intensity is varied. The phase ordering process takes place consecutively and in order of the degrees, reflecting strong degree heterogeneity of the scale-free network. A nonlinear Fokker-Planck equation describing the network dynamics is derived under mean-field approximation of the network, and is used to explain the phase ordering dynamics of the system.
authors: Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
authors: Yu
authors: Y
authors: Atsumi
authors: Department of Physical Chemistry, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany.
authors: Shigefumi
authors: S
authors: Hata
authors: Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan.
authors: Hiroya
authors: H
authors: Nakao