Publication : t04/007

Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition

Biroli G. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Bouchaud J.-P. (CEA, IRAMIS, SPEC (Service de Physique de lEtat Condensé), F-91191 Gif-sur-Yvette, FRANCE)

Abstract:
We show that the glass transition predicted by the Mode-Coupling Theory ({\sc 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 {\sc mct} results are {\it mean-field} in nature and are thus expected to change below the upper critical dimension $d_c=6$, as suggested by different forms of the Ginzburg criterion.

Année de publication : 2004
Revue : Europhys. Lett. 67 21-27 (2004)
DOI : 10.1209/epl/i2004-10044-6
Preprint : arXiv:cond-mat/0401260
Lien : http://www.edpsciences.org/articles/epl/abs/2004/13/epl8227/ epl8227.html
PACS : 05.70.Jk, 64.60.Ht, 64.70.Pf
Keywords : Critical point phenomena; Dynamic critical phenomena; Glass transitions
Numéro Exterieur : SPEC-S04/002
Langue : Anglais

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