Issue |
Europhys. Lett.
Volume 52, Number 4, November II 2000
|
|
---|---|---|
Page(s) | 413 - 419 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2000-00453-y | |
Published online | 01 September 2002 |
Entropic elasticity of phantom percolation networks
School of Physics and Astronomy Raymond and Beverly
Sackler Faculty of Exact Sciences Tel Aviv University - Tel
Aviv 69 978, Israel
Received:
30
June
2000
Accepted:
15
September
2000
A new method is used to measure the stress and elastic constants of
purely entropic phantom networks, in which a fraction p of neighbors
are tethered by inextensible bonds. We find that close to the
percolation threshold the shear modulus behaves as
,
where the exponent
in two dimensions, and
in three dimensions, close to the corresponding values of the
conductivity exponent in random resistor networks. The components of
the stiffness tensor (elastic constants) of the spanning cluster follow
a power law
, with an exponent
and 2.6
in two and three dimensions, respectively.
PACS: 62.20.Dc – Elasticity, elastic constants / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 61.43.-j – Disordered solids
© EDP Sciences, 2000
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