Publication : t10/121

Renormalization Group Analysis of the Random First-Order Transition

Cammarota C. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Biroli G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Tarzia M. (Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Univ. P. et M. Curie, (Université Paris 6), 4 place Jussieu, F- 75252 Paris, FRANCE)
Tarjus G. (Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Univ. P. et M. Curie, (Université Paris 6), 4 place Jussieu, F- 75252 Paris, FRANCE)
Abstract:
We consider the approach describing glass formation in liquids as a progressive trapping in an exponentially large number of metastable states. To go beyond the mean-field setting, we provide a real-space renormalization group (RG) analysis of the associated replica free-energy functional. The present approximation yields in finite dimensions an ideal glass transition similar to that found in mean field. However, we find that along the RG flow the properties associated with metastable glassy states, such as the configurational entropy, are only defined up to a characteristic length scale that diverges as one approaches the ideal glass transition. The critical exponents characterizing the vicinity of the transition are the usual ones associated with a first-order discontinuity fixed point.
Année de publication : 2011
Revue : Phys. Rev. Lett. 106 115705 (2011)
DOI : 10.1103/PhysRevLett.106.115705
Preprint : arXiv:1007.2509v1
Langue : Anglais

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