Quantitative phase-field simulations of the wavelength selection during alloy redistribution transients

Raul Benitez; Laureano Ramirez-Piscina

doi:10.1117/12.546679

25 May 2004 Quantitative phase-field simulations of the wavelength selection during alloy redistribution transients

Raul Benitez, Laureano Ramirez-Piscina

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.546679
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We study the initial stages of a directional solidification experiment of a mixture by means of a non-variational phase field model with fluctuations. This model does not invoke fluctuation-dissipation theorem to account for the fluctuations statistics. We devote our attention to the transient regime during which concentration gradients are building and fluctuations act to destabilize the interface. To this end we calculate both the temporally dependent growth rate of each mode and the power spectrum of the interface evolving under the effect of fluctuations. Theoretical predictions are compared to phase field simulations.

Citation Download Citation

Raul Benitez and Laureano Ramirez-Piscina "Quantitative phase-field simulations of the wavelength selection during alloy redistribution transients", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.546679

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