On the spectra of three-dimensional lamellar solutions of the diblock copolymer problem
Publication in refereed journal

香港中文大學研究人員

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其它資訊
摘要One-dimensional free energy local minimizers are viewed as three-dimensional lamellar-type critical points in a box. To determine whether they model the lamellar phase of diblock copolymers in the strong segregation region, we analyze their spectra. We obtain the asymptotic expansions of their eigenvalues and eigenfunctions. Consequently we find that they are stable, i.e., are local minimizers in space, only if they have sufficiently many interfaces. Interestingly the one-dimensional global minimizer is near the borderline of three-dimensional stability.
著者Ren XF, Wei JC
期刊名稱SIAM Journal on Mathematical Analysis
出版年份2003
月份1
日期1
卷號35
期次1
出版社SIAM PUBLICATIONS
頁次1 - 32
國際標準期刊號0036-1410
電子國際標準期刊號1095-7154
語言英式英語
關鍵詞diblock copolymer; lamellar solution; spectrum; three-dimensional stability
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-19-11 於 01:14