Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2001-01-23
Nonlinear Sciences
Pattern Formation and Solitons
13 pages, 5 figures
Scientific paper
10.1103/PhysRevE.63.051602
We have studied sidebranching induced by fluctuations in dendritic growth. The amplitude of sidebranching induced by internal (equilibrium) concentration fluctuations in the case of solidification with solutal diffusion is computed. This amplitude turns out to be significantly smaller than values reported in previous experiments.The effects of other possible sources of fluctuations (of an external origin)are examined by introducing non-conserved noise in a phase-field model. This reproduces the characteristics of sidebranching found in experiments. Results also show that sidebranching induced by external noise is qualitatively similar to that of internal noise, and it is only distinguished by its amplitude.
Casademunt Jaume
Gonzalez-Cinca R.
Hernandez-Machado Aurora
Ramirez-Piscina Laureano
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