MODELING OF GOLD DISPERSION IN GLASSY POLYMERS BY SMOLUCHOWSKI EQUATION

Zbigniew J. Grzywna () and Jacek Stolarczyk ()
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Zbigniew J. Grzywna: Department of Physical Chemistry and Technology of Polymers, SUT, Strzody 9, Gliwice, PL-44100, Poland
Jacek Stolarczyk: Department of Physical Chemistry and Technology of Polymers, SUT, Strzody 9, Gliwice, PL-44100, Poland

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 09, 1301-1312

Abstract: A unidimensional diffusion in a potential field of induced stress is considered. The way from random walk (RW) to limiting partial differential equation (Smoluchowski equation) for standard and time dependent RW is shown. A technologically important case of gold dispersion in crystallizing polymer swollen by acetone vapor is analyzed. Theoretical predictions based on Smoluchowski equation with time dependent coefficients are found to be in very good agreement with experimental data.

Keywords: Random walk; Smoluchowski equation; gold dispersion; vapor induced crystallization; nanoclusters (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102004145

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