Pattern selection in a phase field model for directional solidification

R.N. Costa Filho, J.M. Kosterlitz and Enzo Granato

Physica A: Statistical Mechanics and its Applications, 2005, vol. 354, issue C, 333-343

Abstract: A symmetric phase field model is used to study wavelength selection in two dimensions. We study the problem in a finite system using a two-pronged approach. First we construct an action and, minimizing this, we obtain the most probable configuration of the system, which we identify with the selected stationary state. The minimization is constrained by the stationary solutions of stochastic evolution equations and is done numerically. Secondly, additional support for this selected state is obtained from straightforward simulations of the dynamics from a variety of initial states.

Keywords: Stochastic processes; Noise; Pattern selection (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:354:y:2005:i:c:p:333-343

DOI: 10.1016/j.physa.2005.03.010

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