Volume 88, Number 1, October 2009
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||16 October 2009|
Mode coupling as a Landau theory of the glass transition
Theoretical Physics, University of Oxford - 1 Keble Road, Oxford, OX1 3NP, UK, EU
2 Institut de Physique Théorique, CEA, IPhT and CNRS, URA 2306 - F-91191 Gif-sur-Yvette, France, EU
3 Science and Finance, Capital Fund Management - 6 Bd Haussmann, 75009 Paris, France, EU
Corresponding author: email@example.com
Accepted: 16 September 2009
We derive the Mode-Coupling Theory (MCT) of the glass transition as a Landau theory, formulated as an expansion of the exact dynamical equations in the difference between the correlation function and its plateau value. This sheds light on the universality of MCT predictions. While our expansion generates higher-order non-local corrections that modify the standard MCT equations, we find that the square-root singularity of the order parameter, the scaling function in the regime and the functional relation between the exponents defining the α and time scales are universal and left intact by these corrections.
PACS: 64.70.Q- – Theory and modeling of the glass transition / 64.60.Ht – Dynamic critical phenomena / 64.60.F- – Equilibrium properties near critical points, critical exponents
© EPLA, 2009
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