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A Theory of Dynamic Light-Scattering by Flexible Macromolecules in a Fluctuating Electric Field

  • W. G. Griffin

Abstract

The effect of a time-dependent electric field on charged macromolecules in solution can be studied using the technique of dynamic light-scattering. In the present theoretical study the effect of intra- and intermolecular hydrodynamic interactions is taken into account for motions of the molecules which satisfy a stochastic equation of motion of specified form. Approximate solutions to the equations of motion are obtained by a regularization procedure. A comparison of these asymptotic results with those obtained by mode-mode coupling analysis is made, from which certain conclusions can be drawn regarding the domain of validity of the so-called ‘generalized Brownian equations-of-motion’ methods. Finally, an analysis of the properties of other measurables than the scattering cross-section is given, for the particular problem of electrically driven internal motions of flexible macromolecules and the experimental limitations of such many-point correlation measurements are described.

Keywords

Langevin Equation Simple Random Walk Drive Mode Hydrodynamic Boundary Condition Fluctuate Electric Field 
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References

  1. 1.
    see Edwards S F, Proc. Phys. Soc., 85 (1965) 613. Daoud M, Cotton J P, Farnoux B, Jannink G, Sarma G, Benoit H, Duplessix C, Picot C and de Gennes P G, Macromolecules, to be published.Google Scholar
  2. 2.
    Schmitz K S, Chem. Phys. Letts., 42, (1976) 137.CrossRefGoogle Scholar
  3. 3.
    Saito N, Takahashi K and Yunoki Y, J. Phys. Soc. Japan, 22, (1967) 219.CrossRefGoogle Scholar
  4. 4.
    Griffin W G, to be submitted.Google Scholar
  5. 5.
    Bogoliubov N N, Mitroposkii Ju A and Samilenko A M, “Methods of Accelerated Convergence in Non-linear Mechanics”, (1976), Springer-Verlag.Google Scholar
  6. 6.
    Kapral R, Ng D and Whittington S G, J. Chem. Phys., J54 (1976) 539.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • W. G. Griffin
    • 1
  1. 1.Cavendish LaboratoryCambridgeUK

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