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Hiromi Yamakawa
Modern Theory of Polymer Solutions
Contents
Chapter I. Introduction 1
1. Survey of the Field 1
2. Scope and Introductory Remarks 3
References 4
Chapter II. Statistics of Ideal Polymer Chains: Random-Flight
Problems 5
3. Introduction 5
4. The Markoff Method for the General Problem of Random
Flights 8
5. Distribution of the End-to-End Distance and Related
Quantities 10
5a. Exact Expression for the Bond Probability 11
5b. Approximate Expression for the Bond Probability 16
6. The Wang-Uhlenbeck Method for Multivariate Gaussian
Distributions 18
7. Distribution of a Segment About the Center of Mass and
Related Quantities 21
7a. Distribution of a Segment About the Center of Mass 21
7b. Radius of Gyration 23
7c. Radii of Gyration with R Fixed 25
8. Distribution of the Radius of Gyration 26
8a. Distribution of the Quasi-radius of Gyration 26
8b. Distribution of the Radius of Gyration 28
9. Remarks 35
9a. Short-Range Interferences and Unperturbed Molecular
Dimensions 35
--------------------

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