In this paper we consider the Quasi-homogeneous Approximation to Describe the Properties of Disperse Systems. We have used the statistical polymer method is based on the consideration of averaged structures of all possible macromolecules of the same weight. One has derived equations allowing evaluation of all additive parameters of macromolecules and their systems. The statistical polymer method allows modeling of branched crosslinked macromolecules and their systems in equilibrium or non-equilibrium. The fractal consideration of statistical polymer allows modeling of all kinds of random fractal and other objects studied by fractal theory. The statistical polymer method is applicable not only to polymers but also to composites, gels, associates in polar liquids and other aggregates. In this paper Description of the state of colloidal solutions of silicon oxide from the viewpoint of statistical physics is based on the idea lies in the fact that a colloidal solution of silica - silica sol consists of a very large number of interacting with each other particles that are in continuous motion. It is devoted to the study of an idealized system of colliding, but non-interacting particles of sol. Analysis was conducted of the behavior of silica sol, in terms of Maxwell-Boltzmann distribution and was calculated the mean free path of the colloidal particles. Based on these data, it was calculated the number of particles capable to overcome the potential barrier in a collision. To modeling of the sol-gel transition kinetics had considered various approaches.

Periodical:

International Letters of Chemistry, Physics and Astronomy (Volume 44)

Pages:

1-49

Citation:

P.G. Kudryavtsev and O.L. Figovsky, "Simulation of Hardening Processes, in Silicate Systems", International Letters of Chemistry, Physics and Astronomy, Vol. 44, pp. 1-49, 2015

Online since:

Jan 2015

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

Sletteri J., Theory of transfer of momentum, energy and mass in continuous media, M., Mir, (1978).

Heifetz L.I., Neumark A.V., Multiphase processes in porous media, M., (1982).

Greiser, T., Jarchow, O., Klaska, K. -H. and Weiss, E. (1978).

Frank-Kamenetsky D.A., Diffusion and Heat Transfer in Chemical Kinetics, 3rd ed., M., (1987).

Heifetz L.I., Bruno E.B., Theoretical Foundations of Chemical Engineering 21(2) (1987) 191-214.

Flory, P.J. Statistical Mechanics of Chain Molecules. Interscience, New York, (1969).

Moshinsky, L. and Figovsky, O. Proc. Intern. Conf. Corrosion in Natural and Industrial Environments: Problems and Solutions, (1995), 699 p.

Romm F. Derivation of the Equations for Isotherm Curves of Adsorption on Microporous Gel Materials, Langmuir, (1996), 12, 14, pp.3490-3497.

Romm F., J. Phys. Chem. 98(22) (1994) 5765-5767.

Gontar, V. New theoretical approach for physicochemical reactions dynamics with chaotic behaviour. In Chaos in Chemistry and Biochemistry, World Scientific, London, 1993, pp.225-247.

Morachevsky A.P. Physical chemistry - surface phenomena and disperse systems - SPb., (2011).

Smoluchowski M.V., Zeitschrift Fur Physikalische Chemie 92 (1917) 129.

Schuman T.E.W., Quart. Yourn. R. Met. Soc. 66 (1940) 195.

Ziff R. M. G., J. Chem. Phys. 73(7) (1980) 3492.

Vinokourov L.I., Kats A.V. Power solutions of the kinetic equation for fixed aerosol coagulation. Izvestiya Academy of Sciences of the USSR. Physics of the atmosphere and ocean. 16(6) (1980) 601-607.

Stockmayer W.H.Y. Chem. Phys. 11 (1943) 45.

White W.H.Y. Colloid Interface Sci. 87 (1982) 204.

Lushnikov A.A. Some new aspects of the theory of coagulation. Izvestiya Academy of Sciences of the USSR. Physics of the atmosphere and ocean. 14(10) (1978) 1046-1054.

Domilovsky E.R., Lushnikov A.A., Piskunov V.N. Modeling of coagulation process Monte Carlo. DAN, 240(1) (1978) 108-110.

Bondarev B.V., Kalashnikov N.P., Spirin G.G. General physics course: in 3 books. Book 3. Statistical physics. Structure of Matter. M.: Yurayt, 2013, 369 p.

Zhyulne R. Fractal aggregates, UFN, 157(2) (1989) 339-357.

Smirnov B.M. Properties of fractal aggregate, UFN, 157(2) (1989) 357-360.

Lifshitz, EM, Pitaevskii, LP Statistical physics. Part 2. The theory of the condensed state. (Theoretical Physics, Vol IX). - M.: FIZMATLIT, 2004. - 496 p.

Levenshpil O. Engineering design of chemical processes, Chemistry, (1969).

Dorohov I.N., Kafarov V.V. Systematic analysis of the processes of chemical technology. Nauka, Moscow, 1989, 376 p. ( Received 16 December 2014; accepted 05 January 2015 ).