%0 Journal Article %@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S} %@nexthigherunit 8JMKD3MGPCW/3ESR3H2 %@archivingpolicy denypublisher denyfinaldraft24 %@issn 0378-4371 %@resumeid %@resumeid %@resumeid 8JMKD3MGP5W/3C9JH2J %@usergroup administrator %@usergroup marciana %@usergroup sergio %3 pattern selection.pdf %X 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. (c) 2005 Elsevier B.V. All rights reserved. %8 Aug. %T Pattern selection in a phase field model for directional solidification %@secondarytype PRE PI %K stochastic processes, pattern selection, ginzburg-landau equation, eutectic growth, eckhaus instability, crystal-growth, weak noise, systems, fluctuations, dynamics, lamellar. %@visibility shown %@group LAS-INPE-MCT-BR %@secondarykey INPE-12878-PRE/8168 %@copyholder SID/SCD %2 sid.inpe.br/marciana/2005/07.11.13.28.11 %@affiliation Universidae Federal do Ceara. Departamento de Física, Fortaleza, Ceara %@affiliation Brown Univ, Dept Phys, Providence, USA %@affiliation Instituto Nacional de Pesquisas Espaciais, Laboratório Associado de Sensores e Materiais, (INPE, LAS) %B Physica A: Statistical Mechanics and its Applications %P 333-343 %4 sid.inpe.br/marciana/2005/07.11.13.28 %D 2005 %V 354 %A Costa, R. N., %A Kosterlitz, J. M., %A Granato, Enzo, %@dissemination WEBSCI; PORTALCAPES; COMPENDEX. %@area FISMAT