收藏本站
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

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

苏桂锋  李晓温  张小兵  张一  
【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 scalefree 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.

知网文化
【相似文献】
中国期刊全文数据库 前18条
1 殷庆祥;对称矩阵的β-性质及其Scaling稳定性分析[J];计算数学;2003年03期
2 唐刚;郝大鹏;夏辉;韩奎;寻之朋;;Effects of memory on scaling behaviour of Kardar-Parisi-Zhang equation[J];Chinese Physics B;2010年10期
3 水鹏朗,保铮;Four-band compactly supported orthogonal symmetric interpolating scaling function[J];Progress in Natural Science;2001年04期
4 张静远;孙伟刚;陈关荣;;Exact scaling for the mean first-passage time of random walks on a generalized Koch network with a trap[J];Chinese Physics B;2012年03期
5 ;Characterization of Periodic Multiresolution Analysis and an Application[J];Acta Mathematica Sinica(New Series);1998年04期
6 ;The Study on Scaling Function of L~2(R~s)[J];数学季刊;2007年04期
7 ;Notes on the Scaling Function[J];数学季刊;2004年02期
8 ;Parameterization of Bivariate Nonseparable Orthogonal Symmetric Scaling Functions with Short Support[J];数学研究与评论;2010年04期
9 Yun-zhang LI;Chun-hua HAN;;Supports of Fourier Transforms of Refinable Frame Functions and Their Applications to FMRA[J];Acta Mathematicae Applicatae Sinica(English Series);2012年04期
10 Charles K.Chui;;CHARACTERIZATIONS OF FUNDAMENTAL SCALING FUNCTIONS AND WAVELETS[J];Approximation Theory and Its Applications;1993年03期
11 ;ON PARAMETRIC FACTORIZATION OF BI-ORTHOGONAL LAURENT POLYNOMIAL WAVELET FILTERS[J];Approximation Theory and Its Applications;2002年04期
12 宋默;;Fractal Aggregation of Phase Separation in Polymer Blends[J];Chinese Science Bulletin;1993年03期
13 LIU Qiang;FANG Jin-qing;LI Yong;;Some Theoretical Analytical Results for UHNTF[J];Annual Report of China Institute of Atomic Energy;2013年00期
14 Onno van Gaans;MULTIRESOLUTIONS AND PRIMITIVES[J];Approximation Theory and Its Applications;1997年02期
15 ;Phase Transitions Induced by Top-Priority of Randomization[J];Communications in Theoretical Physics;2007年03期
16 张昂辉;李晓温;苏桂锋;张一;;A Multifractal Detrended Fluctuation Analysis of the Ising Financial Markets Model with Small World Topology[J];Chinese Physics Letters;2015年09期
17 ;PARAMETERIZATION OF SYMMETRIC SCALING FUNCTIONS[J];Applied Mathematics:A Journal of Chinese Universities;2004年01期
18 ;2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION[J];Acta Mathematica Scientia;2002年01期
中国重要会议论文全文数据库 前4条
1 Ting LI;;Adaptive Scaling Method[A];第十届海峡两岸统计与概率研讨会摘要集[C];2016年
2 LIU Qiang;FANG Jin-qing;LI Yong;;Some Theoretical Analytical Results for UHNTF[A];Annual Report of China Institute of Atomic Energy 2013[C];2014年
3 ZHANG Xu;LIN Yan;HUANG Ran;;Global output feedback tracking for a class of nonlinear time-delay systems[A];第36届中国控制会议论文集(A)[C];2017年
4 ;Lagrangian Relaxation Based Feasible Solution Algorithm[A];第24届中国控制与决策会议论文集[C];2012年
中国知网广告投放
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978