Issue |
Europhys. Lett.
Volume 35, Number 4, August I 1996
|
|
---|---|---|
Page(s) | 289 - 294 | |
Section | Condensed matter: structure, thermal and mechanical properties | |
DOI | https://doi.org/10.1209/epl/i1996-00568-7 | |
Published online | 01 September 2002 |
Strong and fragile liquids in percolation approach to the glass transition
1
IA& E, Russian Academy of Sciences - Novosibirsk, 630090, Russia
2
Physikalische Institut, Universität Bayreuth - 95440 Bayreuth, Germany
Received:
15
January
1996
Accepted:
17
June
1996
Liquid- and solid-like particles in a glass are defined via the Lindemann criterion
of melting. Due to structure inhomogeneity the amplitude of the
mean-square thermal atomic displacements varies spatially.
This situation defines a percolation problem for liquid- and solid-like clusters.
There are
two percolation thresholds: the first corresponds to
the temperature T1 at which the first infinite cluster of liquid-like
particles appears. The second threshold
T2 corresponds to a point at which the last infinite cluster of solid-like
particles disappears. In the 3D case
holds. We argue that this interval is relatively broader in strong
glass-formers in comparison with fragile ones; this means that
the spatial distribution of
and, respectively, of the elastic
constants
is broader in the former case than in the latter one.
Comparison with neutron experimental data on
shows that
numerically T1 is close to the Vogel-Fulcher-Tammann temperature T0 and T2 is close to
the critical temperature Tc defined within mode coupling theory.
PACS: 64.70.-p – Phase equilibria, phase transitions, and critical points of specific substances
© EDP Sciences, 1996
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