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.
| Original language | English |
|---|---|
| Pages (from-to) | 1301-1312 |
| Number of pages | 12 |
| Journal | International Journal of Modern Physics C |
| Volume | 13 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Nov 2002 |
Keywords
- Gold dispersion
- Nanoclusters
- Random walk
- Smoluchowski equation
- Vapor induced crystallization
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Computer Science Applications
- Computational Theory and Mathematics
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