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Hydrodynamic surface modes on concentrated polymer solutions and gels
1.R. B. Bird, R. C. Armstrong, and O. Hassager, The Dynamics of Polymeric Liquids (John Wiley, New York, 1977).
2.M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
3.P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
4.M. Sano, M. Kawaguchi, Y.-L. Chen, R. J. Skarlupka, T. Chang, G. Zografi, and H. Yu, Rev. Sci. Instrum. 57, 1158 (1986), and references therein.
5.A. Silberberg, PhysicoChemical Hydrodynamics 9, 419 (1987);
5.P. Krindel and A. Silberberg, J. Coll. Int. Sci. 71, 39 (1979).
6.C. F. Tejero, M. J. Rodriguez, and M. Baus, Phys. Lett. 98A, 371 (1983);
6.C. F. Tejero and M. Baus, Mol. Phys. 54, 1307 (1985).
7.H. Pleiner, J. L. Harden, and P. A. Pincus, Europhys. Lett. 7, 383 (1988).
8.P.-G. de Gennes and P. A. Pincus, J. Chemie Physique 74, 616 (1977).
9.J. L. Harden, H. Pleiner, and P. A. Pincus, Langmuir 5, 1436 (1989).
10.The present analysis holds in the more general case of In this case, the polymer is slightly depleted near the interface. Such a depletion layer is quite thin and acts to renormalize the effective surface tension. As long as the surface mode wavelength is much larger than this layer thickness, the mode structure should be unaffected by such interfacial structure.
11.P.-G. de Gennes, Macromolecules 9, 594 (1976).
12.An argument due to S. Alexander communicated to us by A. Halperin.
13.L. D. Landau and E. M. Lifshitz, The Theory of Elasticity (Pergamon Press, New York, 1959), Chap. V.
14.L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1959), Chap. II.
15.H. R. Brand, H. Pleiner, and W. Renz, J. Phys. (Paris) 51, 1065 (1990).
16.V. Levich, Physiochemical Hydrodynamics (Prentice Hall, Englewood Cliffs, NJ, 1962), Chap. XI.
17.In fact, one can show that the solutions in the limit of strong but finite coupling converge to those obtained in the limit of perfect coupling. Thus, this perfect coupling limit is well defined.
18.D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions, Frontiers of Physics Series, Vol. 47, (Benjamin, Reading, MA, 1975).
19.L. D. Landau and E. M. Lifshitz, Statistical Mechanics (Pergamon Press, New York, 1980), Chap. XII;
19.L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1959), Chap. XVII.
20.M. A. Bouchiat and J. Meunier, J. Physique (Paris) 32, 561 (1971);
20.G. Platero, V. R. Velasco, and F. Garcia-Moliner, Phys. Scr. 23, 1108 (1981).
21.M. Grant and R. C. Desai, Phys. Rev. A 27, 2577 (1983).
22.J. D. Ferry, Viscoelastic Properties of Polymers, 2nd ed. (John Wiley, New York, 1980), Ch. 3.
23.P.-G. de Gennes, J. Chem. Phys. 55, 572 (1971).
24.M. Doi and S. F. Edwards, J. C. S., Faraday Trans. II 74, 1789, 1802 (1978).
25.Recall that we are studying the case where polymer and solvent interfacial energies are well matched, i.e., and that we are considering solutions in the semidilute regime so that
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