Universality-class dependence of energy distributions in spin glasses

Details Universality-class dependence of energy distributions in spin glasses Universality-class dependence of energy distributions in spin glasses

2005-06-09

arxiv.org/abs/cond-mat/0506209v2

Phys. Rev. B 72, 094421 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 20 figures, 1 table

Scientific paper

10.1103/PhysRevB.72.094421

We study the probability distribution function of the ground-state energies of the disordered one-dimensional Ising spin chain with power-law interactions using a combination of parallel tempering Monte Carlo and branch, cut, and price algorithms. By tuning the exponent of the power-law interactions we are able to scan several universality classes. Our results suggest that mean-field models have a non-Gaussian limiting distribution of the ground-state energies, whereas non-mean-field models have a Gaussian limiting distribution. We compare the results of the disordered one-dimensional Ising chain to results for a disordered two-leg ladder, for which large system sizes can be studied, and find a qualitative agreement between the disordered one-dimensional Ising chain in the short-range universality class and the disordered two-leg ladder. We show that the mean and the standard deviation of the ground-state energy distributions scale with a power of the system size. In the mean-field universality class the skewness does not follow a power-law behavior and converges to a nonzero constant value. The data for the Sherrington-Kirkpatrick model seem to be acceptably well fitted by a modified Gumbel distribution. Finally, we discuss the distribution of the internal energy of the Sherrington-Kirkpatrick model at finite temperatures and show that it behaves similar to the ground-state energy of the system if the temperature is smaller than the critical temperature.

Affiliated with

Also associated with

No associations

Rating

Universality-class dependence of energy distributions in spin glasses 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 Universality-class dependence of energy distributions in spin glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality-class dependence of energy distributions in spin glasses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170240