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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 -------------------- Èç¹ûÐèÒªÇëÁôÑÔÁªÏµÎÒ»ò×Ô¼ºÔÚÕâ¸öÂÛ̳ËÑË÷ÏÂÔØ |
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