First- and second-order phase transitions in scale-free networks

Details First- and second-order phase transitions in scale-free networks First- and second-order phase transitions in scale-free networks

2002-06-26

arxiv.org/abs/cond-mat/0206522v2

Phys. Rev. E, 66 (2002) 036140

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, published version

Scientific paper

10.1103/PhysRevE.66.036140

We study first- and second-order phase transitions of ferromagnetic lattice models on scale-free networks, with a degree exponent $\gamma$. Using the example of the $q$-state Potts model we derive a general self-consistency relation within the frame of the Weiss molecular-field approximation, which presumably leads to exact critical singularities. Depending on the value of $\gamma$, we have found three different regimes of the phase diagram. As a general trend first-order transitions soften with decreasing $\gamma$ and the critical singularities at the second-order transitions are $\gamma$-dependent.

Affiliated with

Also associated with

No associations

Rating

First- and second-order phase transitions in 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 First- and second-order phase transitions in scale-free networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and First- and second-order phase transitions in scale-free networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195152