Dynamics of condensation in growing complex networks

Details Dynamics of condensation in growing complex networks Dynamics of condensation in growing complex networks

2008-04-10

arxiv.org/abs/0804.1768v2

Phys. Rev. E 78, 056192 (2008)

Physics

Condensed Matter

Statistical Mechanics

(4 pages,3 figures)

Scientific paper

10.1103/PhysRevE.78.056102

A condensation transition was predicted for growing technological networks evolving by preferential attachment and competing quality of their nodes, as described by the fitness model. When this condensation occurs a node acquires a finite fraction of all the links of the network. Earlier studies based on steady state degree distribution and on the mapping to Bose-Einstein condensation, were able to identify the critical point. Here we characterize the dynamics of condensation and we present evidence that below the condensation temperature there is a slow down of the dynamics and that a single node (not necessarily the best node in the network) emerges as the winner for very long times. The characteristic time t* at which this phenomenon occurs diverges both at the critical point and at $T -> 0$ when new links are attached deterministically to the highest quality node of the network.

Affiliated with

Also associated with

No associations

Rating

Dynamics of condensation in growing complex networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of condensation in growing complex networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of condensation in growing complex networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356453