title: A non-Gaussian model in polymeric network.
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.
authors.affiliation: Departamento de Fisica, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900, Maringá, Paraná, Brazil. lcmala@dfi.uem.br
authors.forename: L C
authors.initials: LC
authors.lastname: Malacarne
authors.forename: R S
authors.initials: RS
authors.lastname: Mendes
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi
authors.forename: S
authors.initials: S
authors.lastname: Picoli
authors.forename: J P
authors.initials: JP
authors.lastname: Dal Molin
mesh_terms: D003198:Computer Simulation; D004548:Elasticity; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical; D016011:Normal Distribution; D011108:Polymers / Q000737:chemistry*; D016008:Statistical Distributions
chemical_list: D011108:Polymers