Mode-Coupling as a Landau Theory of the Glass Transition

Abstract

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 βregime and the functional relation between the exponents defining the αand βtimescales are universal and left intact by these corrections.

6 pages, 1 figure, submitted to EPL; corrected typos in the abstract; corrected minor typo in references

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