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Dynamical and mosaic length scales in a Kac glass model | | Silvio Franz
; Andrea Montanari
; | | Date: |
5 Jun 2006 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | | Abstract: | We consider a disordered spin model with multi-spin interactions.
In a mean field setting, the model undergoes a dynamical transition described by mode coupling theory and, at lower temperature, a thermodynamic (static) glass transition. We introduce a dynamic and a static length scales and compute them in the Kac limit (long--but--finite range interactions). They diverge at the dynamic and static phase transition with exponents (respectively) -1/4 and -1. The two length scales are approximately equal well above the mode coupling transition. Their discrepancy increases rapidly as this transition is approached. We argue that this signals a crossover from mode coupling to activated dynamics. | | Source: | arXiv, cond-mat/0606113 | | Services: | Forum | Review | PDF | Favorites | |
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