Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-06-11
Prog. Theor. Phys. 127 (2012), 199-208
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, no figures. v3: minor corrections/additions
Scientific paper
10.1143/PTP.127.199
We derive the exact internal energies and the rigorous upper bounds of specific heats for several spin glass models by applying the gauge theory to the Fortuin-Kasteleyn representation which is a representation based on a percolation picture for spin-spin correlation. The results are derived on the Nishimori lines which are special lines on the phase diagrams. As the spin glass models, the +-J Ising model and a Potts gauge glass model are studied. The present solutions agree with the previous solutions. The derivation of the solutions by the present method must be useful for understanding the relationship between the percolation picture for spin-spin correlation and the physical quantities on the Nishimori line.
No associations
LandOfFree
The Derivation of the Exact Internal Energies for Spin Glass Models by Applying the Gauge Theory to the Fortuin-Kasteleyn Representation 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 The Derivation of the Exact Internal Energies for Spin Glass Models by Applying the Gauge Theory to the Fortuin-Kasteleyn Representation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Derivation of the Exact Internal Energies for Spin Glass Models by Applying the Gauge Theory to the Fortuin-Kasteleyn Representation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-76987