Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-06-13
J. Phys. A 36, 15-27 (2002)
Physics
Condensed Matter
Statistical Mechanics
18 pages including ps figures
Scientific paper
10.1088/0305-4470/36/1/302
We investigate the large deviation behavior of the overlap probability density in the Sherrington--Kirkpatrick model from several analytical perspectives. First we analyze the spin glass phase using the coupled replica scheme. Here generically $\frac1N \log P_N(q)$ $\approx$ $- {\cal A}$ $((|q|-q_{EA})^3$, and we compute the first correction to the expansion of $\A$ in powers of $T_c-T$. We study also the $q=1$ case, where $P(q)$ is know exactly. Finally we study the paramagnetic phase, where exact results valid for all $q$'s are obtained. The overall agreement between the various points of view is very satisfactory. Data from large scale numerical simulations show that the predicted behavior can be detected already on moderate lattice sizes.
Billoire Alain
Franz Silvio
Marinari Enzo
No associations
LandOfFree
On the Tail of the Overlap Probability Distribution 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 On the Tail of the Overlap Probability Distribution in the Sherrington--Kirkpatrick Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Tail of the Overlap Probability Distribution in the Sherrington--Kirkpatrick Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-690032