Double criticality of the Sherrington-Kirkpatrick model at T=0.
Phys Rev Lett 98:12 (2007) 127201
Abstract:
Numerical results up to the 42nd order of replica-symmetry breaking (RSB) are used to predict the singular structure of the Sherrington-Kirkpatrick spin glass at T=0. We confirm predominant single parameter scaling and derive corrections for the T=0 order function q(a), related to a Langevin equation with pseudotime 1/a. a=0 and a=infinity are shown to be two critical points for infinity-RSB, associated with two discrete spectra of Parisi block size ratios, attached to a continuous spectrum. Finite-RSB-size scaling, associated exponents, and T=0-energy are obtained with unprecedented accuracy.Spin Glasses: a Perspective
Chapter in Spin Glasses, Springer (2007) 45-62
Abstract:
A brief personal perspective is given of issues, questions, formulations, methods, some answers and selected extensions posed by the spin glass prob- lem, showing how considerations of an apparently insignificant and practically unimportant group of metallic alloys stimulated an explosion of new insights and opportunities in the general area of complex many-body systems and still is doing so. and selected ...On the strategy frequency problem in batch Minority Games
Journal of Statistical Mechanics Theory and Experiment IOP Publishing 2007:01 (2007) p01006-p01006
On the strategy frequency problem in batch Minority Games
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2007) ARTN P01006
Phase diagram of the p-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 76:5 (2007) ARTN 054002