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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.
Published Version (Please cite this version)10.1088/1742-5468/2005/05/P05013
Publication InfoReichman, DR; & Charbonneau, Patrick (2005). Mode-coupling theory. Journal of Statistical Mechanics: Theory and Experiment(5). pp. 267-289. 10.1088/1742-5468/2005/05/P05013. Retrieved from http://hdl.handle.net/10161/14623.
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Associate Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.