 Complexity and line of critical points in a short-range spin-glass modelM Campellone and F Ritort Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 1, 1-9 Abstract: We investigate the critical behavior of a three-dimensional short-range spin-glass model in the presence of an external field ε 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 (ε,T) which separates two paramagnetic phases. Although we may not exclude the possibility that this line is a crossover behavior, its presence is direct consequence of the large degeneracy of metastable states present in the system and its character reminiscent of the first-order phase transition present in the mean-field limit. We propose a scenario for the spin-glass transition at ε=0, driven by a spinodal point present above Tc, which induces strong metastability through Griffiths singularities effects and induces the absence of a two-step shape relaxation curve characteristic of glasses. Keywords: Disordered systems; Glass transitions; Spin Glasses (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:1:p:1-9 DOI: 10.1016/S0378-4371(00)00060-1 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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