IJPAM: Volume 82, No. 4 (2013)

MODELING OF DENDRITIC GROWTH IN TWO DIMENSIONS

G.S. Dmitrienko$^1$, L.A. Uvarova$^2$
Department of Applied Mathematics
MSUT STANKIN
3a, Vadkovsky Lane., Moscow, 127055, RUSSIA


Abstract. The paper describes the process of growth of two-dimensional structures on the basis of the phase-field model and the DLA (Diffusion-limited aggregation). We consider a hybrid model, based on which can be described various transport phenomena in systems of dispersed particles, nanoparticles, etc. Investigated the characteristic parameters of the model. Give estimates of the rate of growth of structures described by such models.

Received: November 27, 2012

AMS Subject Classification:

Key Words and Phrases: phase-field model, diffusion-limited aggregation

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DOI: 10.12732/ijpam.v82i4.14 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 4