Kinetically Constrained Models

Understand

In this chapter we summarize recent developments in the study of kinetically constrained models (KCMs) as models for glass formers.

• After recalling the definition of the KCMs which we cover we study the possible occurrence of ergodicity breaking transitions and discuss in some detail how, before any such transition occurs, relaxation timescales depend on the relevant control parameter (density or temperature).
• Then we turn to the main issue: the prediction of KCMs for dynamical heterogeneities.
• We focus in particular on multipoint correlation functions and susceptibilities, and decoupling in the transport coefficients.