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Elasticity of Gaussian and nearly-Gaussian phantom networks

Oded Farago·Yacov Kantor
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Abstract

We study the elastic properties of phantom networks of Gaussian and nearly-Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. We use a perturbation theory to analyze the elastic behavior of networks of slightly non-Gaussian springs. We show that the elastic constants of phantom percolation networks of nearly-Gaussian springs have a power low dependence on the distance of the system from the percolation threshold, and derive bounds on the exponents.

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Oded Farago, Yacov Kantor. 2000-06-01. Elasticity of Gaussian and nearly-Gaussian phantom networks. https://doi.org/10.1103/physreve.62.6094

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