Discovery of New Metastable Patterns in Diblock Copolymers
Kai Jiang 1, Chu Wang 2, Yunqing Huang 3, Pingwen Zhang 2*1 LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China; and Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, P.R. China.
2 LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China.
3 Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, P.R. China.
Received 15 August 2011; Accepted (in revised version) 11 October 2012
Available online 4 January 2013
The ordered patterns formed by microphase-separated block copolymer systems demonstrate periodic symmetry, and all periodic structures belong to one of 230 space groups. Based on this fact, a strategy of estimating the initial values of self-consistent field theory to discover ordered patterns of block copolymers is developed. In particular, the initial period of the computational box is estimated by the Landau-Brazovskii model as well. By planting the strategy into the whole-space discrete method, several new metastable patterns are discovered in diblock copolymers.AMS subject classifications: 65M70, 76A15
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Key words: Metastable patterns, diblock copolymers, self-consistent field theory (SCFT), space group theory, initial values.
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