Publication : t06/071
Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
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)
Miyazaki K. (Department of Chemistry, Columbia University 3000 Broadway, New York, NY 10027, USA)
Reichman D.R. (Department of Chemistry, Columbia University 3000 Broadway, New York, NY 10027, USA)
Abstract:Année de publication : 2006
We extend Mode-Coupling Theory (MCT) to inhomogeneous situations, relevant for supercooled liquid in pores, close to a surface, or in an external field. We compute the response of the dynamical structure factor to a static inhomogeneous external potential and provide the first direct evidence that the standard formulation of MCT is associated with a diverging length scale. We find in particular that the so called ``cages'' are in fact extended objects. Although close to the transition the dynamic length grows as $|T-T_{c}|^{-1/4}$ in {\it both} the $\beta$ and $\alpha$ regimes, our results suggest that the fractal dimension of correlated clusters is larger in the $\alpha$ regime. We also derive inhomogeneous MCT equations valid to second order in gradients.
Revue : Phys. Rev. Lett. 97 195701 (2006)
DOI : 10.1103/PhysRevLett.97.195701
Preprint : arXiv:cond-mat/0605733
Lien : http://link.aps.org/abstract/PRL/v97/e195701
Numéro Exterieur : SPEC-S06/032
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
