Issue |
Europhys. Lett.
Volume 58, Number 6, June 2002
|
|
---|---|---|
Page(s) | 830 - 836 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2002-00449-1 | |
Published online | 01 June 2002 |
Rigidity transitions and constraint counting in amorphous networks: Beyond the mean-field approach
Laboratoire de Physique Théorique des Liquides,
Université Pierre et Marie Curie Boite 121, CNRS UMR 7600 -
4, Place Jussieu, 75252 Paris Cedex 05, France
Received:
7
February
2002
Accepted:
27
March
2002
We study rigidity transitions in covalent
amorphous networks using
size-increasing cluster approximations and constraint-counting algorithms.
Possible consequences of the presence of self-organization are examined.
The analysis reveals two
transitions instead of the usual (mean-field) single transition: one from
a floppy
to an isostatic rigid phase at a mean coordination number
where the number of floppy modes vanishes and a second one from an
isostatic to a stressed rigid phase
at
. The value of the
two critical mean coordination numbers as well as the width
of the
intermediate phase depend very strongly on the presence of medium-range
order elements such as rings.
PACS: 61.43.Fs – Glasses / 62.20.-x – Mechanical properties of solids
© EDP Sciences, 2002
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