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Basic approaches to modeling processes curing nano-dispersed silicate systems Part II


Basic approaches to modeling processes curing nano-dispersed silicate systems Part II

Kudriavcev P.G, Figovsky O.L.

Incoming article date: 17.12.2014

In this article we consider the use of quasi-homogeneous approximation to describe the properties of disperse systems. We used a statistical method of polymer based on the consideration of all possible structures averaged macromolecules of the same weight. The equations to assess many additive parameters of macromolecules containing their systems. Statistical polymer method allows modeling branched, cross-linked macromolecules and containing their system in a state of equilibrium or non-equilibrium state. Fractal consideration of random polymer allows you to s imulate different types of random fractals and other objects studied by the methods of fractal theory. A method of statistical polymer is not only applicable to the polymers but also to composites gels associates in other polar liquids and aggregate systems. In this paper we described the state of colloidal solutions of silica from the viewpoint of statistical physics. This approach is based on the idea consists in the fact that a colloidal solution of silicon dioxide - silica sol consists of a very large number of interacting particles in a continuous motion. It is dedicated to the study of an idealized system of colliding, but not interacting particles sol. Analyzed the behavior of silica sol, in terms of Maxwell-Boltzmann distribution was calculated and the mean free path of the colloidal particles. Based on these data, it was calculated the number of particles that can overcome the potential barrier in a collision. For modeling the kinetics of the sol-gel transition, we have discussed various approaches.

Keywords: quasi-homogeneous approximation, disperse systems, statistical polymer method, the formation of cross-links, fractal method, sol, silica sol, sol-gel transition, the mean free path