Volume 67, Number 1, July 2004
|Page(s)||21 - 27|
|Published online||01 June 2004|
Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.