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Mixed spectra and the two-critical-point singular structure of the T=0 SK model | | Reinhold Oppermann
; Manuel J. Schmidt
; David Sherrington
; | | Date: |
26 Aug 2006 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | 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 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. | | Source: | arXiv, cond-mat/0608581 | | Services: | Forum | Review | PDF | Favorites | |
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