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
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