Abstract
The dynamic structure factor S (k, ω) for an infinitely long single polymer chain is calculated from the Vlasov equation. The procedure is analogous to that of Nelkin and Ranganathan for a classical fluid. The polymer density is, however, non-uniform; the monomer density is assumed to be Gaussian about the center of mass. In analogy with classical fluids, the effective pair interaction between monomers in the chain not directly bonded is considered to be −k B TC(r), where C(r) is the direct correlation function. The numerical computation is carried out for a pearl-necklace model having 20 000 monomers and radius of gyration 500 Å. The results are compared with those obtained for a classical fluid at the same density.
Supported in part by DFG under SFB 161 and by a grant from the Ministry of Science and Higher Education of Iran.
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References
Rouse, P. E., Jr., J. Chem. Phys. 21, 1272 (1953).
Zimm, B. H., J. Chem. Phys. 24, 269 (1956).
Edwards, S. F. and A. G. Goodyear, J. Phys. A5, 965 (1972); S. A. Adelman and K. F. Freed, J. Chem. Phys. 67, 1380 (1977).
Higgins, J. S., R. E. Ghosh, W. S. Howells and G. Allen, J. Chem. Soc., Far. Trans. II 73, 40 (1977).
Adam, M. and M. Delsanti, J. de Physique 38, L271 (1977).
Nelkin, M. and S. Ranganathan, Phys. Rev. 164, 222 (1967).
Naghizadeh, J., J. Chem. Phys. 48, 1961 (1968).
Yamakawa, H., Modern Theory of Polymer solutions (Harper and Row, New York, 1971).
Martin, P. C., E. D. Siggia and H. Rose, Phys. Rev. A8, 423 (1973).
Percus, J. K., in the Equilibrium Theory of Classical Fluids edited by H. L. Frisch and J. L. Lebowitz (W. A. Benjamin, New York, 1964).
Flory, P. J., Statistical Mechanics of Chain Molecules (John Wiley and Sons, New York, 1969)
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© 1979 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG
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Ailawadi, N.K., Massih, A.R., Naghizadeh, J. (1979). Dynamic structure fractor of a polymer in dilute solution. In: Fischer, E.W., Müller, F.H., Bonart, R. (eds) Anwendungsbezogene physikalische Charakterisierung von Polymeren, insbesondere im festen Zustand. Progress in Colloid & Polymer Science, vol 66. Steinkopff. https://doi.org/10.1007/BFb0117331
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DOI: https://doi.org/10.1007/BFb0117331
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