Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-11-21
J. Phys. A: Math. Theor. 41, 324004 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
15 pages, 4 EPS figures
Scientific paper
10.1088/1751-8113/41/32/324004
We study hierarchies of replica-symmetry-breaking solutions of the Sherrington-Kirkpatrick model. Stationarity equations for order parameters of solutions with an arbitrary number of hierarchies are set and the limit to infinite number of hierarchical levels is discussed. In particular, we demonstrate how the continuous replica-symmetry breaking scheme of Parisi emerges and how the limit to infinite-many hierarchies leads to equations for the order-parameter function of the continuous solution. The general analysis is accompanied by an explicit asymptotic solution near the de Almeida-Thouless instability line in the nonzero magnetic field.
Janis Vaclav
Klic A.
Ringel Matouš
No associations
LandOfFree
Replica-symmetry breaking: discrete and continuous schemes 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 Replica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Replica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-414597