Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-08-26
published in Physical Review Letters 98, 127201 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.98.127201
Numerical results up to 42nd order of replica symmetry breaking (RSB) are used to predict the singular structure of the SK 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=\infty are shown to be two critical points for \infty-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.
Oppermann Reinhold
Schmidt Manuel J.
Sherrington David
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