Kinetically Constrained Models
By Juan P. Garrahan, Peter Sollich, Cristina Toninelli. 2010
138 citations recorded by the source corpus.
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. Finally we discuss the recent view of KCMs as being at first order coexistence between an active and an inactive space-time phase.
Subfields: Ceramics and Composites, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/7df7c65b4f82b996eec06af6b6c4e244acfd006a
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In Ceramics and Composites
In Materials Chemistry
Citations in the corpus
- Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics (2017, background): “plex, cf. Fig. 2(d). 1.3. Kinetically constrained models of glasses The basic tenets of DF theory are realised explicitly in a class of idealised models known as kinetically constrained models (KCMs) [30, 31, 8, 32] and whose study serves as the basis for DF insights [7]. The key idea is to encode t”
- Weak ergodicity breaking from quantum many-body scars (2017, background): “While similar kinetically constrained models [60] with flat potential energy”