文档介绍：Adv Polym Sci (2005) 185: 1–58
DOI
© Springer-Verlag Berlin Heidelberg 2005
Published online: 31 August 2005
Incorporating Fluctuations and Dynamics
in Self-Consistent Field Theories for Polymer Blends
Marcus Müller1 (u) · Friederike Schmid2
1Department of Physics, University of Wisconsin, 1150 University Avenue,
Madison, 53706-1390, USA
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2Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany
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1Introduction................................... 3
2 The Edwards Model for Polymer Blends ................... 5
GaussianModel................................. 5
Hubbard–StratonovichTransformationandFluctuatingFields....... 8
3 External Potential (EP) Theory and Self-Consistent Field (SCF) Theory .. 14
External Potential (EP) Theory: Saddle Point Integration in U ....... 14
Self-Consistent Field (SCF) Theory: Saddle Point Integration in U and W .16
AlternativeDerivationoftheSCFTheory................... 17
NumericalTechniques.............................. 19
Extensions.................................... 22
4Fluctuations................................... 23
Examples of Fluctuation Effects and the Role of N¯ .............. 23
GaussianFluctuationsandRandomPhaseApproximation.......... 27
RelationtoGinzburg–LandauModels..................... 31
Field-TheoreticPolymerSimulations..................... 32
.............................. 32
-TheoreticMonteCarlo.......................... 34
5Dynamics.................................... 38
OnsagerCoefficientsandDynamicSCFTheory(DSCFT).......... 38
ExternalPotentialDynamics(EPD)...................... 40
6 Extensions .................................... 42
7Applications................................... 43
Homopolymer-CopolymerMixtures...................... 43
position............................ 47
8 Summary and Outlook .......