Ground-state energy fluctuations in the Sherrington-Kirkpatrick model

Details Ground-state energy fluctuations in the Sherrington-Kirkpatrick model Ground-state energy fluctuations in the Sherrington-Kirkpatrick model

2003-07-29

arxiv.org/abs/cond-mat/0307713v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 eps figures. Some changes in the text, references corrected, plot of Tracy-Widom distribution added

Scientific paper

The probability distribution function (PDF) of the ground-state energy in the Sherrington-Kirkpatrick spin-glass model is numerically determined by collecting a large statistical sample of ground states, computed using a genetic algorithm. It is shown that the standard deviation of the ground-state energy per spin scales with the number of spins, N, as N^{-\rho} with \rho \simeq 0.765, but the value \rho=3/4 is also compatible with the data, while the previously proposed value \rho=5/6 is ruled out. The PDF satisfies finite-size scaling with a non-Gaussian asymptotic PDF, which can be fitted remarkably well by the Gumbel distribution for the m-th smallest element in a set of random variables, with m \simeq 6.

Affiliated with

Also associated with

No associations

Rating

Ground-state energy fluctuations in the Sherrington-Kirkpatrick model 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 Ground-state energy fluctuations in the Sherrington-Kirkpatrick model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground-state energy fluctuations in the Sherrington-Kirkpatrick model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333