Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-03-27
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1103/PhysRevE.78.061124
A scaling theory of replica symmetry breaking (RSB) in the SK-model is presented in the framework of critical phenomena for the scaling regime of small inverse RSB-orders, small temperatures, small magnetic fields, and near opposite pseudo-dynamic limits. We employ the pseudo-dynamical picture (PRL98, 127201 (2007)) with two critical points, where separated temperature- and magnetic field-scaling is obtained. An unconventional scaling hypothesis for the free energy is given, modeling this separated scaling in accordance with detailed numerical self-consistent solutions for up to 200 orders of RSB. A divergent correlation-length describes the RSB-criticality as a long-range correlation effect occurring on the pseudo-lattice of RSB-orders. Rational-valued exponents are concluded with high precision from high-order RSB scaling and by using a new fixed point extrapolation method. Power laws, scaling relations, and scaling functions are analyzed.
Oppermann Reinhold
Schmidt Manuel J.
No associations
LandOfFree
Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of 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 Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-353954