Mode-coupling theory

By David R. Reichman, Patrick Charbonneau. 2005

273 citations recorded by the source corpus.

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.

Subfields: Ceramics and Composites, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/ec96be794a8fda8cf9f9d960c78c9f6f7c93f2a1

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In Ceramics and Composites

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

The role of local structure in dynamical arrest (2014, background): “More specific reviews focus on certain theoretical aspects such as the energy landscape [191, 211, 454], dynamic heterogeniety [39, 146], Mode-Coupling Theory [85, 190], random first-order theory [317], replica theory [392], dynamic facilitation [81] and soft glassy rheology [477] and the insights g”
Theoretical perspective on the glass transition and amorphous materials (2010, background): “It is possible to show that the memory kernel corresponds to the variance of the random force acting on the density field, see the review (Reichman and Charbonneau, 2005).”
Mode-Coupling Theory of the Glass Transition: A Primer (2018, methodology): “In this review, we focus on one of several theories that seeks to describe the above complex phenomenology of glass-forming materials, namely Mode-Coupling Theory (MCT) [36, 37].”