Routes to thermodynamic limit on scale-free networks

Details Routes to thermodynamic limit on scale-free networks Routes to thermodynamic limit on scale-free networks

2007-10-15

arxiv.org/abs/0710.2784v2

Phys. Rev. Lett. 100, 148701 (2008)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, final version

Scientific paper

10.1103/PhysRevLett.100.148701

We show that there are two classes of finite size effects for dynamic models taking place on a scale-free topology. Some models in finite networks show a behavior that depends only on the system size N. Others present an additional distinct dependence on the upper cutoff k_c of the degree distribution. Since the infinite network limit can be obtained by allowing k_c to diverge with the system size in an arbitrary way, this result implies that there are different routes to the thermodynamic limit in scale-free networks. The contact process (in its mean-field version) belongs to this second class and thus our results clarify the recent discrepancy between theory and simulations with different scaling of k_c reported in the literature.

Affiliated with

Also associated with

No associations

Rating

Routes to thermodynamic limit on scale-free 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 Routes to thermodynamic limit on scale-free networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Routes to thermodynamic limit on scale-free networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126760