Mode-Coupling Theory (MCT) Lecture Notes

Details Mode-Coupling Theory (MCT) Lecture Notes Mode-Coupling Theory (MCT) Lecture Notes

2005-11-16

arxiv.org/abs/cond-mat/0511407v1

J. Stat. Mech. (2005) P05013

Physics

Condensed Matter

Soft Condensed Matter

Lecture Notes (xx pages) given at "Unifying Concepts in Glass Physics III", Bangalore (2004). To get diagrams use feynmf packa

Scientific paper

10.1088/1742-5468/2005/05/P05013

In this set of lecture notes we review the mode-coupling theory of the glass transition from several perspectives. First, we derive mode-coupling equations for the description of density fluctuations from microscopic considerations with the use the Mori-Zwanzig projection operator technique. We also derive schematic mode-coupling equations of a similar form from a field-theoretic perspective. We review the successes and failures of mode-coupling theory, and discuss recent advances in the applications of the theory.

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