Mode coupling as a Landau theory of the glass transition

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 gene...

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Veröffentlicht in:Europhysics letters 2009-10, Vol.88 (1), p.16001
Hauptverfasser: Andreanov, A, Biroli, G, Bouchaud, J.-P
Format: Artikel
Sprache:eng
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Zusammenfassung: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 $\beta $ regime and the functional relation between the exponents defining the α and $\beta $ time scales are universal and left intact by these corrections.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/88/16001