Phase ordering in coupled noisy bistable systems on scale-free networks

Atsumi, Yu; Hata, Shigefumi; Nakao, Hiroya

doi:10.1103/PhysRevE.88.052806

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Phase ordering in coupled noisy bistable systems on scale-free networks

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Hata, Shigefumi
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Atsumi, Y., Hata, S., & Nakao, H. (2013). Phase ordering in coupled noisy bistable systems on scale-free networks. Physical Review E, 88(5): 052806. doi:10.1103/PhysRevE.88.052806.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-F430-D

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.