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Theoretical Models of Cooperative Dynamics Near the Glass Transition

Published online by Cambridge University Press:  16 February 2011

Josef Jäckle
Josef Jäckle*
Affiliation:
University of Konstanz, Fakultät für Physik D-7750 Konstanz, Germany
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Abstract

It is shown that diffusion in the hard-square and hard-octahedron lattice gases at high particle concentration has cooperative properties resembling molecular relaxation in undercooled liquids near the glass transition. For these models a characteristic length of cooperativity is introduced by an underlying percolation problem, which determines whether permanently blocked particles exist in lattices of finite size. The percolation problem belongs to a general class of bootstrap percolation models. Salient Monte Carlo results for the concentration and size dependence of self diffusion in the hard-square lattice gas are presented. Similarities with the n-spin facilitated kinetic Ising models are also pointed out.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 215: Symposium R2 – Structure, Relaxation and Physical Aging of Glassy Polymers , 1990 , 151
Copyright
Copyright © Materials Research Society 1991

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