Spacetime thermodynamics and subsystem observables in akinetically constrained model of glassy systems

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In a recent article it was argued that dynamic heterogeneity in d-dimensional glass formers is a manifestation of an order-disorder phenomenon in the d+1 dimensions of spacetime. By considering a dynamical analogue of the free energy, evidence was found for phase coexistence between active and inactive regions of spacetime, and it was suggested that this phenomenon underlies the glass transition. Here we develop these ideas further by investigating in detail the one-dimensional Fredrickson-Andersen (FA) model in which the active and inactive phases originate in the reducibility of the dynamics. We illustrate the phase coexistence by considering the distributions of mesoscopic ... continued below

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Jack, Robert L.; Garrahan, Juan P. & Chandler, David October 4, 2006.

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In a recent article it was argued that dynamic heterogeneity in d-dimensional glass formers is a manifestation of an order-disorder phenomenon in the d+1 dimensions of spacetime. By considering a dynamical analogue of the free energy, evidence was found for phase coexistence between active and inactive regions of spacetime, and it was suggested that this phenomenon underlies the glass transition. Here we develop these ideas further by investigating in detail the one-dimensional Fredrickson-Andersen (FA) model in which the active and inactive phases originate in the reducibility of the dynamics. We illustrate the phase coexistence by considering the distributions of mesoscopic spacetime observables. We show how the analogy with phase coexistence can be strengthened by breaking microscopic reversibility in the FA model, leading to a non-equilibrium theory in the directed percolation universality class.

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  • Journal Name: Journal of Chemical Physics; Journal Volume: 125; Journal Issue: 18; Related Information: Journal Publication Date: 11/2006

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  • Report No.: LBNL--61731
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1063/1.2374885 | External Link
  • Office of Scientific & Technical Information Report Number: 918481
  • Archival Resource Key: ark:/67531/metadc886335

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  • October 4, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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Jack, Robert L.; Garrahan, Juan P. & Chandler, David. Spacetime thermodynamics and subsystem observables in akinetically constrained model of glassy systems, article, October 4, 2006; United States. (digital.library.unt.edu/ark:/67531/metadc886335/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.