Helical Wormlike Chains in Polymer Solutions [E-Book] / by Emeritus 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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Full text |
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Personal Name(s): | Yamakawa, Emeritus Hiromi, author |
Imprint: |
Berlin, Heidelberg :
Springer,
1997
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Physical Description: |
XII, 420 p. 9 illus. online resource. |
Note: |
englisch |
ISBN: |
9783642608179 |
DOI: |
10.1007/978-3-642-60817-9 |
Subject (LOC): |
- 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.