Smoluchowski equation for networks: merger induced intermittent giant node formation and degree gap
File(s)JStatPhys2018.pdf (2.25 MB)
Published version
Author(s)
Goto, Hayato
Viegas, Eduardo
Jensen, Henrik Jeldtoft
Takayasu, Hideki
Takayasu, Misako
Type
Journal Article
Abstract
The dynamical phase diagram of a network undergoing annihilation, creation, and coagulation of nodes is found to exhibit two regimes controlled by the combined effect of preferential attachment for initiator and target nodes during coagulation and for link assignment to new nodes. The first regime exhibits smooth dynamics and power law degree distributions. In the second regime, giant degree nodes and gaps in the degree distribution are formed intermittently. Data for the Japanese firm network in 1994 and 2014 suggests that this network is moving towards the intermittent switching region.
Date Issued
2018-08-01
Date Acceptance
2018-05-25
Citation
Journal of Statistical Physics, 2018, 172 (4), pp.1086-1100
ISSN
1572-9613
Publisher
Springer Verlag
Start Page
1086
End Page
1100
Journal / Book Title
Journal of Statistical Physics
Volume
172
Issue
4
Copyright Statement
© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
Network stability
Complex systems
Econophysics
Network phase transitions
Stochastic processes & statistics
Sol-gel process
COAGULATION EQUATIONS
AGGREGATION
INJECTION
GELATION
Publication Status
Published
Date Publish Online
2018-06-08