Strong-segregation limit of the self-consistent field theory for diblock copolymer melts

被引:16
|
作者
Matsen, M. W. [1 ]
机构
[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England
来源
EUROPEAN PHYSICAL JOURNAL E | 2010年 / 33卷 / 04期
基金
英国工程与自然科学研究理事会;
关键词
STRONG-STRETCHING THEORY; POLYMER BRUSHES; STATISTICAL-MECHANICS;
D O I
10.1140/epje/i2010-10673-4
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The self-consistent field theory (SCFT) introduced by Helfand for diblock copolymer melts is expected to converge to the strong-segregation theory (SST) of Semenov in the asymptotic limit, chi N -> infinity However, past extrapolations of the lamellar/cylinder and cylinder/sphere phase boundaries, within the standard unit-cell approximation, have cast some doubts on whether or not this is actually true. Here we push the comparison further by extending the SCFT calculations to chi N=512000 , by accounting for exclusion zones in the coronae of the cylindrical and spherical unit cells, and by examining finite-segregation corrections to SST. In doing so, we provide the first compelling evidence that SCFT does indeed reduce to SST.
引用
收藏
页码:297 / 306
页数:10
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