An efficient numerical method of Landau-Brazovskii model

An efficient numerical method of Landau-Brazovskii model
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DOI:
10.1016/j.jcp.2008.02.021
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发表时间:
2008-05
期刊:
J. Comput. Phys.
影响因子:
--
通讯作者:
Pingwen Zhang;Xinwei Zhang
Pingwen Zhang;Xinwei Zhang
中科院分区:
其他
文献类型:
--
作者:
Pingwen Zhang;Xinwei Zhang

文献摘要

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使用Landau-Brazovskii模型,开发了一种新的数值实现来研究两嵌段共聚物体系的相行为。该方法基于序参量的傅立叶展开,不需要先验对称信息,而且周期结构可以在迭代过程中自动调整。该方法使我们能够计算相图,发现新的亚稳相,验证相变过程中的外延关系,并发现Landau-Brazovskii模型在某些情况下的无效性。
Using the Landau–Brazovskii model, a new numerical implementation is developed to investigate the phase behavior of the diblock copolymer system. Though the method is based on the Fourier expansion of order parameter, a priori symmetric information is not required, and more significantly, the period structure can be adjusted automatically during the iteration as well. The method enables us to calculate the phase diagram, discover new meta-stable phases, validate the epitaxial relation in the phase transition process, and find the inefficiency of the Landau–Brazovskii model for some situations.