Corrections to strong-stretching theories

被引:24
作者
Goveas, JL
Milner, ST
Russel, WB
机构
[1] PRINCETON UNIV,DEPT CHEM ENGN,PRINCETON,NJ 08544
[2] EXXON RES & ENGN CO,ANNANDALE,NJ 08801
关键词
D O I
10.1021/ma970377y
中图分类号
O63 [高分子化学(高聚物)];
学科分类号
070305 ; 080501 ; 081704 ;
摘要
We derive the strong-stretching approximation from the full partition function for diblock copolymer melts. Using a perturbation expansion for the free energy, with (gamma N)(-1/3) as the expansion parameter, we calculate the leading corrections to the asymptotic chi N --> infinity limit for the domain period and the free energy. The leading corrections to the free energy scale as log chi N They arise from the entropy gain due to the wandering of chain ends over the domains and the entropy loss to localize the joints in the interfacial region.
引用
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页码:5541 / 5552
页数:12
相关论文
共 31 条
[1]   GAUSSIAN-COIL TO STRETCHED-COIL TRANSITION IN BLOCK COPOLYMER MELTS [J].
ALMDAL, K ;
ROSEDALE, JH ;
BATES, FS ;
WIGNALL, GD ;
FREDRICKSON, GH .
PHYSICAL REVIEW LETTERS, 1990, 65 (09) :1112-1115
[2]   POLYMERS GRAFTED TO A CONVEX SURFACE [J].
BALL, RC ;
MARKO, JF ;
MILNER, ST ;
WITTEN, TA .
MACROMOLECULES, 1991, 24 (03) :693-703
[3]   BLOCK COPOLYMER THERMODYNAMICS - THEORY AND EXPERIMENT [J].
BATES, FS ;
FREDRICKSON, GH .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1990, 41 (01) :525-557
[4]  
Bender CM, 1978, ADV MATH METHODS SCI, P484
[5]   STATISTICAL MECHANICS OF POLYMERS WITH EXCLUDED VOLUME [J].
EDWARDS, SF .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1965, 85 (546P) :613-&
[6]  
Feynman R P, 1965, QUANTUM MECH PATH IN
[7]  
GOLDSTEIN H, 1959, CLASSICAL MECHANICS
[8]   BICONTINUOUS MICRODOMAIN MORPHOLOGY OF BLOCK COPOLYMERS .1. TETRAPOD-NETWORK STRUCTURE OF POLYSTYRENE POLYISOPRENE DIBLOCK POLYMERS [J].
HASEGAWA, H ;
TANAKA, H ;
YAMASAKI, K ;
HASHIMOTO, T .
MACROMOLECULES, 1987, 20 (07) :1651-1662
[9]   DOMAIN-BOUNDARY STRUCTURE OF STYRENE-ISOPRENE BLOCK CO-POLYMER FILMS CAST FROM SOLUTION .4. MOLECULAR-WEIGHT DEPENDENCE OF LAMELLAR MICRODOMAINS [J].
HASHIMOTO, T ;
SHIBAYAMA, M ;
KAWAI, H .
MACROMOLECULES, 1980, 13 (05) :1237-1247
[10]   THEORY OF INTERFACE BETWEEN IMMISCIBLE POLYMERS .2. [J].
HELFAND, E ;
TAGAMI, Y .
JOURNAL OF CHEMICAL PHYSICS, 1972, 56 (07) :3592-&