On modeling of growth processes driven by velocity fluctuations
Authors:
- Jerzy Łuczka,
- M Niemiec,
- W Olchawa
Abstract
In the classical theory of diffusion limited growth, it is assumed that the concentration field of solution is described by the standard diffusion equation. It means that particles of the solution undergo a random walk described by the Wiener process. In turn, it means that the velocity of particles is a stochastic process being Gaussian white noise. In consequence, the velocity–velocity correlation function is the Dirac -function and velocity correlation time is zero. In many cases such modeling is insufficient and one should consider models in which velocity is correlated in space and/or time. The question is whether correlations of velocity can change the kinetics of growth, in particular, whether the long-time asymptotics of the growth kinetics displays the power-law time dependence with the classical exponent 1/2. How to model such processes is a subject of this paper.
- Record ID
- USL753cdd6c34b447a5804c14ab1921b59e
- Author
- Journal series
- Acta Physica Polonica B, ISSN 0587-4254, e-ISSN 1509-5770
- Issue year
- 2005
- Vol
- 36
- No
- 5
- Pages
- 1715-1725
- Publication size in sheets
- 0.50
- Keywords in Polish
- teoria i modele wzrostu kryształów, fizyka i chemia wzrostu kryształów, morfologia kryształów, procesy losowe, ruchy Browna
- ASJC Classification
- Abstract in Polish
- Seventeenth Marian Smoluchowski Symposium on Statistical Physics. Zakopane, Poland. 4-9 Sept. 2004.
- Handle.net URL
- hdl.handle.net/20.500.12128/7284 Opening in a new tab
- Language
- eng (en) English
- File
-
- File: 1
- On modeling of growth processes driven by velocity fluctuations, File Niemiec_On_modeling_of_growth_processes.pdf / 306 KB
- Niemiec_On_modeling_of_growth_processes.pdf
- publication date: 06-02-2024
- On modeling of growth processes driven by velocity fluctuations, File Niemiec_On_modeling_of_growth_processes.pdf / 306 KB
-
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- Uniform Resource Identifier
- https://opus.us.edu.pl/info/article/USL753cdd6c34b447a5804c14ab1921b59e/
- URN
urn:uni-kat-prod:USL753cdd6c34b447a5804c14ab1921b59e
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.