Critical behavior of the Ising model in annealed scale-free networks

Details Critical behavior of the Ising model in annealed scale-free networks Critical behavior of the Ising model in annealed scale-free networks

2009-09-09

arxiv.org/abs/0909.1597v2

PRE v80, 051127 (2009)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures; published version

Scientific paper

10.1103/PhysRevE.80.051127

We study the critical behavior of the Ising model in annealed scale-free (SF) networks of finite system size with forced upper cutoff in degree. By mapping the model onto the weighted fully connected Ising model, we derive analytic results for the finite-size scaling (FSS) near the phase transition, characterized by the cutoff-dependent two-parameter scaling with four distinct scaling regimes, in highly heterogeneous networks. These results are essentially the same as those found for the nonequilibrium contact process in annealed SF networks, except for an additional complication due to the trivial critical point shift in finite systems. The discrepancy of the FSS theories between annealed and quenched SF networks still remains in the equilibrium Ising model, like some other nonequilibrium models. All of our analytic results are confirmed reasonably well by numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Critical behavior of the Ising model in annealed 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 Critical behavior of the Ising model in annealed scale-free networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of the Ising model in annealed scale-free networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-385031