Publication : t04/244

Criticality, diverging length scale and upper critical dimension in the Mode-Coupling Theory of glasses

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 has to be understood as a standard critical phenomenon with a diverging length associated to the cooperativity of the dynamics and an upper critical dimension equal to six. This is obtained studying the four-body dynamical susceptibility that results naturally from Mode-Coupling-Theory in the vicinity of the transition temperature. We discuss the consequences of our findings, in particular concerning the comparison of Mode-Coupling-Theory with experimental and numerical results.

Année de publication : 2004
Conférence - : in: Program of the March Meeting 2004 of the American Physical Society ; Montréal, Canada ; 2004-03-22 / 2004-03-26
Numéro Exterieur : SPEC-S04/174
Langue : Anglais
NB : 49, p. 1275 (2004) [Part 2]