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Complexity and line of critical points in a short-range spin-glass model | M. Campellone
; F. Ritort
; | Date: |
29 Jul 1999 | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | Affiliation: | Univ. of Rome I) and F. Ritort (Univ. of Barcelona | Abstract: | We investigate the critical behavior of a three-dimensional short-range spin glass model in the presence of an external field $eps$ conjugated to the Edwards-Anderson order parameter. In the mean-field approximation this model is described by the Adam-Gibbs-DiMarzio approach for the glass transition. By Monte Carlo numerical simulations we find indications for the existence of a line of critical points in the plane $(eps,T)$ which separates two paramagnetic phases and terminates in a critical endpoint. This line of critical points appears due to the large degeneracy of metastable states present in the system (configurational entropy) and is reminiscent of the first-order phase transition present in the mean-field limit. We propose a scenario for the spin-glass transition at $eps=0$, driven by a spinodal point present above $T_c$, which induces strong metastability through Griffiths singularities effects and induces the absence of a two-step shape relaxation curve characteristic of glasses. | Source: | arXiv, cond-mat/9907465 | Services: | Forum | Review | PDF | Favorites |
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