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

doi:10.1088/1674-1056/ab8a41

Abstract 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.

Keywords: finite density scaling zero-range processes (ZRP) scale-free networks

Received: 08 January 2020
Revised: 06 April 2020
Accepted manuscript online:

PACS:	89.75.Hc	(Networks and genealogical trees)
	05.20.-y	(Classical statistical mechanics)
	02.50.Ey	(Stochastic processes)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11505115).

Corresponding Authors: Yi Zhang
E-mail: yizhang@shnu.edu.cn

Cite this article:

Guifeng Su(苏桂锋), Xiaowen Li(李晓温), Xiaobing Zhang(张小兵), Yi Zhang(张一) Finite density scaling laws of condensation phase transition in zero-range processes on scale-free networks 2020 Chin. Phys. B 29 088904

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

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