Open AccessPHASE TRANSITION AND COLLECTIVE CORRELATION BEHAVIOR IN THE COMPLEX COMPUTER NETWORK
Author(s) -
Yuan Jian,
Yong Ren,
Li Feng,
Shan Xiu-Ming
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1221
Subject(s) - correlation , phase transition , statistical physics , collective behavior , computer science , noise (video) , complex network , physics , spectral density , power law , phase (matter) , transition (genetics) , telecommunications , condensed matter physics , artificial intelligence , quantum mechanics , mathematics , sociology , statistics , biochemistry , geometry , chemistry , anthropology , image (mathematics) , gene , world wide web
Some researchers used the conception of phase transition to explain ubiquitous power laws in the complex Internet. However, this explanation obviously ignores the correlation between nodes' behaviors. In this paper, we compare the phase transition with the collective correlation behaviors of nodes by use of a computer network model. It is shown that when the load of network is increased, the spatial and time correlation between nodes'behaviors is also strengthened and the collective correlation phenomenon emerges gradually. At the critical state, the system load fluctuates with a 1/f2 power spectrum, and the power spectra of buffer contents fluctuations vary as 1/fα noise where α≤2. The existence of spatial-temporal correlation among nodes'behaviors is further demonstrated.