Volume 57, Number 3, February 2002
|Page(s)||458 - 463|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 September 2002|
Entropic elasticity at the sol-gel transition
School of Physics and Astronomy, Raymond and Beverly
Sackler Faculty of Exact Sciences, Tel Aviv University - Tel
Aviv 69 978, Israel
Corresponding author: firstname.lastname@example.org
Accepted: 6 November 2001
The sol-gel transition is studied in two purely entropic models consisting of hard spheres in continuous three-dimensional space, with a fraction p of nearest-neighbor spheres tethered by inextensible bonds. When all the tethers are present (p=1) the two systems have connectivities of simple cubic and face-centered cubic lattices. For all p above the percolation threshold pc, the elasticity has a cubic symmetry characterized by two distinct shear moduli. When p approaches pc, both shear moduli decay as , where for each type of connectivity. This result is similar to the behavior of the conductivity in random resistor networks, and is consistent with many experimental studies of gel elasticity. The difference between the shear moduli that measures the deviation from isotropy decays as , with .
PACS: 82.70.Gg – Gels and sols / 62.20.Dc – Elasticity, elastic constants / 61.43.-j – Disordered solids
© EDP Sciences, 2002
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