Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2003-06-30
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages. Accepted for pub. in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.92.185504
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 $\Xi^{-d}$.
Biroli Giulio
Fisher Daniel S.
Toninelli Cristina
No associations
LandOfFree
Spatial structures and dynamics of kinetically constrained models for glasses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spatial structures and dynamics of kinetically constrained models for glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spatial structures and dynamics of kinetically constrained models for glasses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185551