MODELING OF GOLD DISPERSION IN GLASSY POLYMERS BY SMOLUCHOWSKI EQUATION-Reference-Cited by-同舟云学术

MODELING OF GOLD DISPERSION IN GLASSY POLYMERS BY SMOLUCHOWSKI EQUATION

Published:2002-11 Issue:09 Volume:13 Page:1301-1312
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

GRZYWNA ZBIGNIEW J.¹,STOLARCZYK JACEK¹

Affiliation:

1. Department of Physical Chemistry and Technology of Polymers, SUT, Strzody 9, Gliwice, PL-44100, Poland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183102004145

Reference13 articles.

1. Diffusion of Brownian particles governed by fluctuating friction

2. Diffusion of Metals in Polymers

3. Nanoscale metal particles dispersed in polymer matrix

4. Biphenol-A Polycarbonate Immersed in Organic Media. Swelling and Response to Stress

5. Diffusion studies of poly(ethylene terephthalate) crystallized by nonreactive liquids and vapors

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