Spatially heterogeneous dynamics investigated via a time-dependent four-point density correlation function

By N. Lacevic, F. Starr, T. Schrøder, Sharon C. Glotzer. 2003

375 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/e4c1dc827d9b9c1a45d8fdf86b4941cc7811603d

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In Condensed Matter Physics

In Electronic, Optical and Magnetic Materials

In Materials Chemistry

Citations in the corpus

Slow dynamics in glassy soft matter (2005, background): “Note that χ4 is proportional to the volume integral of the so-called four-point density correlation function, which compares the change of the local configuration around the position r1 during a time interval τ to the corresponding quantity for position r2 [163, 171].”
Theoretical perspective on the glass transition and amorphous materials (2010, methodology): “…first peak in the structure factor (Berthier, 2004), or by performing a spatial average ∫ drCo(r, t)w(r) where w(r) is an overlap function equal to one for lengths of the order of 2π/k0 and zero otherwise (Lacevic et al., 2003) or a Gaussian function with a suitable width (Dauchot et al., 2005).”
Frustration on the way to crystallization in glass (2006, methodology): “We confirmed dynamic heterogeneity of a supercooled liquid by means of a time-dependent four-point density correlation functio”
Mode-Coupling Theory of the Glass Transition: A Primer (2018, background): “Dynamic heterogeneity cannot be seen in F(k, t) itself, but rather in the fluctuations of F(k, t) among different particle trajectories [32, 33].”
Kinetically Constrained Models (2010, neutral): “3 can be quantifie by me ns of multipoint functions [11, 33, 34, 76].”
The role of local structure in dynamical arrest (2014, methodology): “Put another way, Tg could as well S T crystal liquid Tm~TxTMCTTK~T0 Tg τα ~102 s τα ~10-12 s τα ~10-8 s FIG.”
Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material (2007, background): “, the cluster size and string length are largest at the crossover between caged and diffusive motion, whereas χ 4 SS ( t ) (and χ 4 ( t ) ) peaks later, in the so-called alpha or structural relaxation regim”