A non-Gaussian model in polymeric network
Departamento de Fısica, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900, Maringá, Paraná, Brazil
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Accepted: 28 July 2006
Published online: 5 September 2006
We investigate a finite chain approximation, the non-Gaussian Tsallis distribution, to the polymeric network, which gives an improvement to the Gaussian model. This distribution presents some necessary characteristics, like a cutoff to the maximum chain length and a continuous limit to the Gaussian one for a large number of monomers. It also presents a simple quadratic structure that allows to generalize the Gaussian properties such as exact-moments calculation and Wick theorem. We obtain the free-energy density in its full tensorial structure.
PACS: 61.41.+e Polymers, elastomers, and plastics – / 82.35.Lr Physical properties of polymers –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2006