Reichman, DR; Charbonneau, P, *Mode-coupling theory*,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2005 no. 05
(May, 2005),
pp. P05013-P05013 [0511407], [doi] .
**Abstract:**

*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. © IOP Publishing Ltd.*