Helical Wormlike Chains in Polymer Solutions by Hiromi Yamakawa.

A new and general model, called the "helical wormlike chain," for both flexible and semiflexible polymer chains is presented. Statistical-mechanical, transport and dynamic theories of their solution properties are developed on the basis of this model. An analysis is given of recent experim...

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Bibliographic Details
Main Author: Yamakawa, Hiromi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
Edition:1st ed. 1997.
Series:Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a 1 Introduction -- 1.1 Historical Survey -- 1.2 Scope -- References -- 2 Models for Polymer Chains -- 2.1 Discrete Models -- 2.2 Continuous Models -- References -- 3 Chain Statistics — Wormlike Chains -- 3.1 Definition of the Model -- 3.2 Diffusion Equations -- 3.3 Moments -- 3.4 Distribution Functions -- Appendix 3.A Path Integrals -- Appendix 3.B Spherical Harmonics and the Free-Particle Green Function -- Appendix 3.C Modified Wormlike Chains -- Appendix 3.D Wormlike Rings -- References -- 4 Chain Statistics — Helical Wormlike Chains -- 4.1 Formulation of the Model -- 4.2 Diffusion Equations -- 4.3 Moments -- 4.4 Angular Correlation Functions -- 4.5 Helical Nature of the Chain -- 4.6 Distribution Functions -- 4.7 Approximations -- 4.8 Some Other Topics -- Appendix 4.A Generalization and Other Related Models -- Appendix 4.B Corresponding Discrete Chains -- Appendix 4.C Wigner D Functions and 3-j Symbols -- References -- 5 Equilibrium Properties -- 5.1 Mean-Square Radius of Gyration. -- 5.2 Scattering Function -- 5.3 Anisotropic Light Scattering—Mean-Square Optical Anisotropy -- 5.4 Electrical Properties -- Appendix 5.A Chain-Thickness Correction -- Appendix 5.B Spherical Vectors and Tensors -- Appendix 5.C Proof of Nagai’s Theorem -- References -- 6 Transport Properties -- 6.1 General Consideration of Polymer Hydrodynamics -- 6.2 Hydrodynamic Models -- 6.3 Translational Friction Coefficient -- 6.4 Intrinsic Viscosity -- 6.5 Analysis of Experimental Data -- 6.6 Ring Polymers -- Appendix 6.A Transport Coefficients of Spheroid-Cylinders -- Appendix 6.B Excess Stress Tensor for the Touched-Bead Model -- References -- 7 Applications to Circular DNA -- 7.1 Ring-Closure Probabilities -- 7.2 Topoisomer Statistics -- 7.3 Iranslational Friction Coefficient of Topoisomers -- References -- 8 Excluded-Volume Effects -- 8.1 End-Distance and Gyration-Radius Expansion Factors -- 8.2 Viscosity- and Hydrodynamic-Radius Expansion Factors -- 8.3 Second Virial Coefficient -- 8.4 Third Virial Coefficient -- 8.5 Some Remarks -- Appendix 8.A Mean-Square Electric Dipole Moment -- Appendix 8.B Determination of the Virial Coefficients for Oligomers -- References -- 9 Chain Dynamics -- 9.1 General Consideration of Polymer Dynamics -- 9.2 Conventional Bond Chains -- 9.3 Dynamic Helical Wormlike Chains -- 9.4 Diffusion Equations -- 9.5 Eigenvalue Problems and Time-Correlation Functions -- Appendix 9.A Fluctuating Hydrodynamic Interaction -- References -- 10 Dynamical Properties -- 10.1 Dielectric Relaxation -- 10.2 Nuclear Magnetic Relaxation -- 10.3 Fluorescence Depolarization -- 10.4 Dynamic Depolarized Light Scattering -- 10.5 First Cumulant of the Dynamic Structure Factor -- 10.6 Some Remarks -- References -- Glossary of Abbreviations. -- Author Index. 
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