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Toninelli C, Biroli G, Fisher DS. Spatial structures and dynamics of kinetically constrained models of glasses. Phys Rev Lett. 2004;92(18):185504doi: 10.1103/PhysRevLett.92.185504.
Toninelli, C., Biroli, G., & Fisher, D. S. (2004). Spatial structures and dynamics of kinetically constrained models of glasses. Physical review letters, 92(18), 185504. https://doi.org/10.1103/PhysRevLett.92.185504
Toninelli, Cristina, et al. "Spatial structures and dynamics of kinetically constrained models of glasses." Physical review letters vol. 92,18 (2004): 185504. doi: https://doi.org/10.1103/PhysRevLett.92.185504
Toninelli C, Biroli G, Fisher DS. Spatial structures and dynamics of kinetically constrained models of glasses. Phys Rev Lett. 2004 May 07;92(18):185504. doi: 10.1103/PhysRevLett.92.185504. Epub 2004 May 04. PMID: 15169499.
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Phys Rev Lett. 2004 May 07;92(18):185504. doi: 10.1103/PhysRevLett.92.185504. Epub 2004 May 04.

Spatial structures and dynamics of kinetically constrained models of glasses.

Physical review letters

Cristina Toninelli, Giulio Biroli, Daniel S Fisher

Affiliations

  1. Dipartimento Fisica, Universitá La Sapienza, Piazzale A. Moro 5, 00165 Rome, Italy. [email protected]

PMID: 15169499 DOI: 10.1103/PhysRevLett.92.185504

Abstract

Kob and Andersen's simple lattice models for the dynamics of structural glasses are analyzed. Although the particles have only hard core interactions, the imposed constraint that they cannot move if surrounded by too many others causes slow dynamics. On Bethe lattices, a dynamical transition to a partially frozen phase occurs. In finite dimensions there exist rare mobile elements that destroy the transition. At low vacancy density v, the spacing Xi between mobile elements diverges exponentially or faster in 1/v. Within the mobile elements, the dynamics is intrinsically cooperative, and the characteristic time scale diverges faster than any power of 1/v (although slower than Xi). The tagged-particle diffusion coefficient vanishes roughly as Xi(-d).

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