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Up: Theory of Polymer Dynamics
Previous: Viscoelastic behavior
- atomic liquid
- The radial distribution function
- bond vector
- The model
- bulk viscosity
- Navier-Stokes equations
- central limit theorem
- The central limit theorem
| The Fokker-Planck equation
- centre of gravity (mass)
- The radius of gyration
- Chapman-Kolmogorov equation
- Green's function method
| Appendix C
| Appendix A
- coarse graining
- The Gaussian chain
- colloidal suspension
- The radial distribution function
| The Langevin equation
- compressibility equation
- The radial distribution function
- conditional probability
- Some probabilities
- conformation
- gauche minus
- The model
- gauche plus
- The model
- trans
- The model
| The model
- conservation of mass
- Navier-Stokes equations
- continuity equation
- The Smoluchowski equation
| The Smoluchowski equation
- correlation
- direct correlation
- The Ornstein-Zernike equation and
- indirect correlation
- The Ornstein-Zernike equation and
- intermolecular correlation
- Molecular liquids
- intramolecular correlation
- Molecular liquids
| Molecular liquids
- total correlation
- The Ornstein-Zernike equation and
- correlation hole
- Polymer RISM
- de Gennes
- Polymer RISM
- diffusion coefficient
- The Langevin equation
| The Smoluchowski equation
| Mathematical definition of the
- centre of mass
- Normal mode analysis
| Diffusion coefficient and viscosity
- dihedral angle
- The model
- distribution function
- The Fokker-Planck equation
- Einstein equation
- The Langevin equation
- generalization
- Definition and equations of
- end-to-end vector
- The mean square end-to-end
| Some results for polyethylene
| The central limit theorem
| Appendix A
| Appendix B
| Correlation of the end-to-end
- entanglement
- C. Calculation of the
| The tube model
- entropy
- Flory's hypothesis
- equipartition
- The Smoluchowski time scale
- excluded volume effect
- The model
| Flory's hypothesis
| The central limit theorem
- external field
- Green's function method
| The Smoluchowski time scale
- Flory
- The mean square end-to-end
| Some results for polyethylene
- Flory's hypothesis
- Flory's hypothesis
- flow field
- Introduction
| A moving sphere in
| Hydrodynamic interaction in colloidal
- fluctuation-dissipation theorem
- The Langevin equation
| The Fokker-Planck equation
| The Smoluchowski time scale
| Appendix A
- Fokker-Planck equation
- The Fokker-Planck equation
| The Smoluchowski equation
| Appendix A
| Appendix B
- free energy
- The partition function
- freely jointed chain
- Simple models
| Appendix B
- freely rotating chain
- Simple models
| Appendix A
- friction
- Introduction
| Introduction
- friction coefficient
- The Langevin equation
| The Smoluchowski equation
| Normal mode analysis
- gauche
- see conformation
- Gaussian chain
- Simple models
| The Gaussian chain
| Green's function method
| The tube model
- Gaussian chain in a box
- One Gaussian chain in
- Green's function
- Green's function method
- Hansen
- The radial distribution function
- hard sphere
- The Ornstein-Zernike equation and
- hydrodynamic interaction
- Hydrodynamic interaction in colloidal
| Introduction
| Definition and equations of
- hydrodynamics
- The Langevin equation
| Introduction
- hypernetted chain equation
- The Ornstein-Zernike equation and
- incompressible fluid
- Navier-Stokes equations
| A moving sphere in
- interaction potential
- The radial distribution function
- intermolecular correlation
- see correlation
- intramolecular correlation
- see correlation
- Langevin equation
- The Langevin equation
| The Smoluchowski time scale
| The Smoluchowski time scale
| Appendix A
| Appendix C
| The Rouse chain
| C. Calculation of the
| Definition and equations of
| The tube model
- Lennard-Jones
- The Ornstein-Zernike equation and
- light scattering
- The radius of gyration
| The radial distribution function
| The Smoluchowski time scale
- local coordinate frame
- Appendix A
- McDonald
- The radial distribution function
- mean-square displacement
- monomer
- The Langevin equation
| Monomer motion
| Monomer motion
- mobility tensor
- Hydrodynamic interaction in colloidal
| Normal coordinates and the
- molecular dynamics (MD) simulation
- Polymer RISM
- molecular liquid
- Molecular liquids
- butane
- The model
- Navier-Stokes equation
- Navier-Stokes equations
- neutron scattering
- The radial distribution function
- normal modes
- Normal mode analysis
| Normal mode analysis
| Normal coordinates and the
- Ornstein-Zernike equation
- The Ornstein-Zernike equation and
- particle conservation
- The Smoluchowski equation
- partition function
- The partition function
- pentane effect
- The model
- Percus-Yevick equation
- The Ornstein-Zernike equation and
- persistence length
- The mean square end-to-end
| Appendix A
- plateau modulus
- Viscoelastic behavior
- polyethylene
- The partition function
| Some results for polyethylene
| Polymer RISM
- polyethyleneoxide
- Polymer RISM
- polymeric liquid
- Polymer RISM
- position vector
- The model
- pressure
- The radial distribution function
| Introduction
| Navier-Stokes equations
- primitive chain
- The tube model
| Mathematical definition of the
- projection operator formalism
- Appendix B
- radial distribution function
- The radial distribution function
- radius of gyration
- The mean square end-to-end
| The radius of gyration
| Flory's hypothesis
| Appendix A
| Appendix B
- random force
- see stochastic force
- reptation
- The tube model
| Monomer motion
| Viscoelastic behavior
- rotational isomeric state (RIS) model
- The model
| Some results for polyethylene
| Polymer RISM
| The central limit theorem
- Rouse chain
- Introduction
| The tube model
| Viscoelastic behavior
- Rouse time
- Monomer motion
- scattering amplitude
- The radial distribution function
- scattering factor
- The radial distribution function
- shear flow
- A. Shear flow
- shear rate
- A. Shear flow
- shear relaxation modulus
- A. Shear flow
| C. Calculation of the
| Viscoelastic behavior
- shear viscosity
- Navier-Stokes equations
- Smoluchowski equation
- The Smoluchowski time scale
| The Smoluchowski equation
| Appendix B
| Appendix C
| Definition and equations of
- Smoluchowski time scale
- The Smoluchowski time scale
| Definition and equations of
| The tube model
- solvent effect
- Flory's hypothesis
- sphere in fluid
- A moving sphere in
- stepwise shear
- A. Shear flow
- stochastic force
- The Langevin equation
| Introduction
- stochastic proces
- The Langevin equation
- Stokes equation
- Navier-Stokes equations
- Stokes friction
- A moving sphere in
- stress tensor
- A. Shear flow
| B. The stress tensor
- definition
- Navier-Stokes equations
- general
- Navier-Stokes equations
- integral expression
- C. Calculation of the
- microscopic expression
- A. General
- suspensions
- B. Suspensions
- suspension
- B. Suspensions
- theta solvent
- Flory's hypothesis
- time scale
- see Smoluchowski time scale
- total derivative
- Introduction
- tube diameter
- Monomer motion
- tube fluctuations
- The tube model
- tube model
- The tube model
- universal scaling coefficient
- Flory's hypothesis
- van der Waals interaction
- Flory's hypothesis
- viscoelastic
- Introduction
| A. Shear flow
- viscosity
- The Langevin equation
| Introduction
- intrinsic viscosity
- C. Calculation of the
| Diffusion coefficient and viscosity
- polymer melt
- Viscoelastic behavior
- Rouse melt
- C. Calculation of the
- wavevector
- The radial distribution function
- X-ray scattering
- The radial distribution function
- Zimm chain
- Definition and equations of
W.J. Briels