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Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition | Giulio Biroli
; Jean-Philippe Bouchaud
; | Date: |
15 Dec 2003 | Journal: | Europhys. Lett. Vol 67 (2004) 21. | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | Abstract: | We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents nu and z that relate space and time scales to the distance from criticality, as well as the scaling form of the critical four-point correlation function. However, both these predictions and other well known MCT results are mean-field in nature and are thus expected to change below the upper critical dimension dc=6, as suggested by different forms of the Ginzburg criterion. | Source: | arXiv, cond-mat/0401260 | Services: | Forum | Review | PDF | Favorites |
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