Issue |
Europhys. Lett.
Volume 67, Number 1, July 2004
|
|
---|---|---|
Page(s) | 21 - 27 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2004-10044-6 | |
Published online | 01 June 2004 |
Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
1
Service de Physique Théorique Centre d'études de Saclay Orme des Merisiers, 91191 Gif-sur-Yvette Cedex, France
2
Service de Physique de l'État Condensé, Centre d'études de Saclay Orme des Merisiers, 91191 Gif-sur-Yvette Cedex, France
Received:
5
January
2004
Accepted:
30
April
2004
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 ν 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 , as suggested
by different forms of the Ginzburg criterion.
PACS: 05.70.Jk – Critical point phenomena / 64.60.Ht – Dynamic critical phenomena / 64.70.Pf – Glass transitions
© EDP Sciences, 2004
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