English

Mode-Coupling Theory (MCT) Lecture Notes

Soft Condensed Matter 2010-04-16 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.cond-mat/0511407,
  title  = {Mode-Coupling Theory (MCT) Lecture Notes},
  author = {David R. Reichman and Patrick Charbonneau},
  journal= {arXiv preprint arXiv:cond-mat/0511407},
  year   = {2010}
}

Comments

Lecture Notes (xx pages) given at "Unifying Concepts in Glass Physics III", Bangalore (2004). To get diagrams use feynmf package and uncomment fmf-type comments in the tex source file before using latex on it