Eur. Phys. J. E (2006) 20: 395-399
https://doi.org/10.1140/epje/i2006-10028-x

Regular Article

A non-Gaussian model in polymeric network

Departamento de Fısica, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900, Maringá, Paraná, Brazil

^* e-mail: lcmala@dfi.uem.br

Received: 18 April 2006
Accepted: 28 July 2006
Published online: 5 September 2006

Abstract

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.