Finite density scaling laws of condensation phase transition in zero-range processes on scale-free networks  

作　　者：Guifeng Su Xiaowen Li Xiaobing Zhang Yi Zhang 苏桂锋;李晓温;张小兵;张一(Department of Physics,Shanghai Normal University,Shanghai 200234,China;School of Physics,Nankai University,Tianjin 300071,China)

机构地区：[1]Department of Physics,Shanghai Normal University,Shanghai 200234,China [2]School of Physics,Nankai University,Tianjin 300071,China

出　　处：《Chinese Physics B》2020年第8期579-585,共7页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.11505115).

摘　　要：The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks.A real space complete condensation phase transition in the stationary state may occur.We study the finite density effects of the condensation transition in both the stationary and dynamical zero-range processes on scale-free networks.By means of grand canonical ensemble method,we predict analytically the scaling laws of the average occupation number with respect to the finite density for the steady state.We further explore the relaxation dynamics of the condensation phase transition.By applying the hierarchical evolution and scaling ansatz,a scaling law for the relaxation dynamics is predicted.Monte Carlo simulations are performed and the predicted density scaling laws are nicely validated.

关 键 词：finite density scaling zero-range processes(ZRP) scale-free networks 

分 类 号：O157.5[理学—数学]