Triblock copolymer theory: Ordered ABC lamellar phase
Publication in refereed journal

香港中文大學研究人員

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摘要The ABC lamellar phase of a triblock copolymer in the strong segregation region is studied on periodic and bounded intervals. In the periodic case we find a family of local minimizers of the free energy functional all with a fine lamellar structure. Among these local minimizers we identify the one most favored by the free energy, and hence determine the thickness of lamellar microdomains. In the bounded interval case we show that perfect lamellar structure does not exist due to the boundary effect. We view the strong segregation limit as a Gamma-limit of the free energy by a proper choice of the material sample size. The key step is the spectral analysis of a large matrix resulting from the second derivative of the Gamma-limit.
著者Ren X, Wei J
期刊名稱Journal of Nonlinear Science
出版年份2003
月份3
日期1
卷號13
期次2
出版社SPRINGER-VERLAG
頁次175 - 208
國際標準期刊號0938-8974
語言英式英語
關鍵詞Gamma-convergence; global minimizer; local minimizer; triblock copolymer
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Mechanics; MECHANICS; Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL

上次更新時間 2020-22-11 於 01:16