Phase ordering and universality for continuous symmetry models on graphs

Details Phase ordering and universality for continuous symmetry models on graphs Phase ordering and universality for continuous symmetry models on graphs

2009-03-27

arxiv.org/abs/0903.4808v1

J. Stat. Mech. (2009) P02040

Physics

Condensed Matter

Statistical Mechanics

14 pages, 11 figures

Scientific paper

10.1088/1742-5468/2009/02/P02040

We study the phase-ordering kinetics following a temperature quench of O(N) continuous symmetry models with and 4 on graphs. By means of extensive simulations, we show that the global pattern of scaling behaviours is analogous to the one found on usual lattices. The exponent a for the integrated response function and the exponent z, describing the growing length, are related to the large scale topology of the networks through the spectral dimension and the fractal dimension alone, by means of the same expressions as are provided by the analytic solution of the inifnite N limit. This suggests that the large N value of these exponents could be exact for every N.

Affiliated with

Also associated with

No associations

Rating

Phase ordering and universality for continuous symmetry models on graphs 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 Phase ordering and universality for continuous symmetry models on graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase ordering and universality for continuous symmetry models on graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21587