Heterogeneity, growing lenght scales, and universality in thedynamicsof kinetically constrained lattice gases in two dimensions

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We study dynamical heterogeneity and growing dynamical length scales in two kinetically constrained models, namely, the one- and two-vacancy assisted triangular lattice gases. One of the models is a strong glassformer and the other is a fragile glassformer. Both exhibit heterogeneous dynamics with broadly distributed timescales as seen in the distribution of persistence times. We show that the Stokes-Einstein relation is violated, to a greater degree in the fragile glassformer, and show how this violation is related to dynamic heterogeneity. Finally, we extract dynamical length scales from structure factors of mobile particles and show, quantitatively, the growth of this lengthscale ... continued below

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Pan, Albert P.; Garrahan, Juan P. & Chandler, David June 26, 2005.

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We study dynamical heterogeneity and growing dynamical length scales in two kinetically constrained models, namely, the one- and two-vacancy assisted triangular lattice gases. One of the models is a strong glassformer and the other is a fragile glassformer. Both exhibit heterogeneous dynamics with broadly distributed timescales as seen in the distribution of persistence times. We show that the Stokes-Einstein relation is violated, to a greater degree in the fragile glassformer, and show how this violation is related to dynamic heterogeneity. Finally, we extract dynamical length scales from structure factors of mobile particles and show, quantitatively, the growth of this lengthscale as density increases. Our results indicate that the one-vacancy assisted lattice gas is in the same universality class as the one-spin facilitated Fredrickson-Andersen model, while the two-vacancy assisted model is in a different universality class. Our findings support the idea that the dynamics of supercooled liquids can be understood from the existence of a zero temperature dynamic critical point.

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  • Journal Name: Physical Review E; Journal Volume: 72; Related Information: Journal Publication Date: 2005

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  • Report No.: LBNL--56970
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1103/PhysRevE.72.041106 | External Link
  • Office of Scientific & Technical Information Report Number: 918553
  • Archival Resource Key: ark:/67531/metadc890495

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  • June 26, 2005

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  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 21, 2017, 3:51 p.m.

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Pan, Albert P.; Garrahan, Juan P. & Chandler, David. Heterogeneity, growing lenght scales, and universality in thedynamicsof kinetically constrained lattice gases in two dimensions, article, June 26, 2005; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc890495/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.