%0 Journal Article %1 WOS:000229948900028 %A Costa, RN %A Kosterlitz, JM %A Granato, E %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2005 %I ELSEVIER SCIENCE BV %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K noise; pattern processes; selection} {stochastic %P 333-343 %R 10.1016/j.physa.2005.03.010 %T Pattern selection in a phase field model for directional solidification %V 354 %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.

@article{WOS:000229948900028, 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. (c) 2005 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Costa, RN and Kosterlitz, JM and Granato, E}, biburl = {https://www.bibsonomy.org/bibtex/239181a46b4104ae8a19171cb50940e35/ppgfis_ufc_br}, doi = {10.1016/j.physa.2005.03.010}, interhash = {df7ff850f2b7940fa9646ff6ee6824a6}, intrahash = {39181a46b4104ae8a19171cb50940e35}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {noise; pattern processes; selection} {stochastic}, pages = {333-343}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Pattern selection in a phase field model for directional solidification}, tppubtype = {article}, volume = 354, year = 2005 }