NON-EXTENSIVE VISCOELASTIC THEORY .5. DIF FUSION-EQUATIONS, DISTRIBUTION-FUNCTIONS VISCOSITY AND DIFFUSION-COEFFICIENTS, CORRELATION-FUNCTIONS

This article is an important theoretical development of the previous a rticles (I) and (III) in which are introduced the basic concepts of th e theory. Here, diffusion equations are established and their solution s are given for the simple model with one elastic constant and isotrop y of reciprocal space. The classical diffusion laws for translation (P ick law) and rotation are recovered in the limit of very long times. T he concepts of microscopic and macroscopic viscosity and self-diffusio n coefficient are introduced. The difference between the two concepts vanishes above the transition. It is shown that the macroscopic viscos ity and self-diffusion coefficient have a very steep variation with te mperature below the transition. Tensorial order parameters are defined for rotation. Formal expressions for the time correlation functions o f Legendre polynomials are established. These quantities allow to calc ulate the main correlations functions far analysis of dielectric relax ation, light scattering, and incoherent neutron scattering. All correl ation functions, translational and rotational, are fundamentally non-e xponential.