Published May 2005
| Version v1
Journal article
Diffusion in Glassy Polymers - From Random Walks to Partial Differential Equations
Creators
- 1. Department of Physical Chemistry and Technology of Polymers, Section of Physics and Applied Mathematics, Silesian University of Technology, Gliwice (Poland)
Description
1D diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the ''travelling waves'' solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed. (author)
Availability note (English)
Also available at http://th-www.if.uj.edu.pl/acta/Additional details
Additional titles
- Augmented title (English)
- PACS numbers: 05.40.Fb, 05.10.Ge
Identifiers
Publishing Information
- Journal Title
- Acta Physica Polonica. Series B
- Journal Volume
- B36
- Journal Issue
- 5
- Journal Page Range
- p. 1595-1611
- ISSN
- 0587-4254
Conference
- Title
- 17. Marian Smoluchowski Symposium on Statistical Physics
- Dates
- 4-9 Sep 2004
- Place
- Zakopane (Poland)
INIS
- Country of Publication
- Poland
- Country of Input or Organization
- Poland
- INIS RN
- 36060392
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- BROWNIAN MOVEMENT; CORRELATIONS; DIFFUSION; DIFFUSION EQUATIONS; NUMERICAL SOLUTION; ONE-DIMENSIONAL CALCULATIONS; POLYMERS; SPACE DEPENDENCE; TIME DEPENDENCE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Contract/Grant/Project number
- Grant BW-422/RCh4/2004
- Notes
- 21 refs., 9 figs.
- Funding organization
- Silesian University of Technology, Gliwice (Poland)