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