Abstract
The asymmetry of the dielectric loss curve observed in vinyl-type polymer solutions is investigated by means of the Monte Carlo method. The loss curve is calculated from the Fourier transformation of the decay function which is obtained by using the Monte Carlo method. The model used for a polymer chain in this paper is a chain composed of connected beads lying on the cubic lattice. The following three cases are discussed: Case 1 concerns the random coil chain; symmetric loss curve is obtained. Case 2 has to do with the non-self-intersecting model; the asymmetric loss curve is obtained, but it differs from that derived through experiments in that the experimental curve is more asymmetric, broader on the high frequency side. In Case 3, random numbers are used, taking the correlation into account. In this case the loss curve obtained is asymmetric and is in fairly good agreement with the experimental curve. The results suggest that the most important factor for the appearance of the asymmetric loss curve of vinyl-type polymer in dilute solutions is the correlated molecular motion of the motional units.
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S. Mashimo and A. Chiba, Polym. J., 5, 41 (1973).
S. Mashimo, Macromolecules, 9, 91 (1976).
J. G. Kirkwood and R. M. Fuoss, J. Chem. Phys., 9, 329 (1941).
L. K. H. Vanbeek and J. J. Hermans, J. Polym. Sci., 23, 211 (1957).
Y. Tanabe and K. Okano, Oyo Butsuri, 38, 377 (1969).
R. N. Work and S. Fujita, J. Chem. Phys., 43, 3779 (1966).
J. E. Anderson and R. Ullman, J. Chem. Phys., 47, 2178 (1967).
D. J. Isbister and D. A. McQuarrie, J. Chem. Phys., 60, 1937 (1974).
J. E. Shore and R. Zwanzig, J. Chem. Phys., 63, 5445 (1975).
P. H. Verdier and W. H. Stockmayer, J. Chem. Phys., 36, 227 (1962).
P. H. Verdier, J. Chem. Phys., 45, 2122 (1966).
P. H. Verdier, J. Chem. Phys., 59, 6119 (1973).
F. L. McCrackin, Jacob Mazur, and C. M. Cuttman, Macromolecule, 6, 859 (1973).
M. Doi, Polym. J., 5, 288 (1973).
H. Fröhlich, “Theory of Dielectrics,” 2nd ed, Oxford University Press, London, 1958, Chapter 3.
George G. Lowry “Markov Chains and Monte Carlo Calculations in Polymer Science,” Marcel Dekker, Inc., New York, N.Y., 1970, Chapter 3.
K. Tarumi, T. Tanikawa, and A. Chiba, Rep. Prog. Polym. Phys. Jpn., 115 (1976).
H. J. Hilhorst and J. M. Deutch, J. Chem. Phys., 63, 5153 (1975).
G. Williams and D. C. Watts, Trans. Faraday Soc., 66, 80 (1970).
N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys., 21, 1087 (1953).
B. Valeur, J. P. Jarry, F. Gény, and L. Monnerie, J. Polym. Sci., Polym. Phys. Ed., 13, 667 (1975).
B. Valeur, J. P. Jarry, F. Gény, and L. Monnerie, J. Polym. Sci., Polym. Phys. Ed., 13, 2251 (1975).
B. Valeur, J. P. Jarry, and L. Monnerie, J. Polym. Sci., Polym. Phys. Ed., 13, 675, (1975).
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Tarumi, K., Tanikawa, T. & Chiba, A. Monte Carlo Study on Dielectric Loss Curve for Polymers with Perpendicular—Dipoles. Polym J 9, 415–421 (1977). https://doi.org/10.1295/polymj.9.415
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DOI: https://doi.org/10.1295/polymj.9.415