Abstract
The statistics of polymer‐chain conformations in the intrinsic coordinate system, the directions of whose axes are determined by the anisotropy of a polymer coil at certain instantaneous distribution of the conformations, is considered. It is shown that even for an absolutely flexible polymer chain the shape of the coil in the intrinsic coordinate system is anisotropic. Full distribution functions of the chain links in space are constructed for both the absolutely flexible linear polymer and the linear polymer chain which possesses finite flexural rigidity, and degrees of anisotropy of these macromolecules are calculated.
Similar content being viewed by others
REFERENCES
M. V. Vol'kenshtein, Configuration Statistics of Polymer Chains [in Russian], Moscow–Leningrad (1959).
K. Šolc, J. Chem. Phys., 55, No. 1, 335–344 (1971).
K. Šolc, Polymer News, 4, 67–74 (1977).
D. E. Kranbuehl, J. Chem. Phys., 67, No. 1, 361–365 (1977).
R. J. Rubin and J. Mazur, Macromolecules, 10, No. 1, 139–149 (1977).
J. Rudnick and G. Gaspri, J. Phys. A, 19, L191–L193 (1986).
G. Gaspri, J. Rudnick, and A. Beldjenna, J. Phys. A, 20, 3393–3414 (1987).
M. Bishop and J. P. J. Michels, J. Chem. Phys., 85, No. 10, 5961–5962 (1986).
M. Bishop and C. J. Saltiel, J. Chem. Phys., 88, No. 6, 3976–3980 (1987).
H. W. Janszen, T. A. Tervoort, and P. Cifra, Macromolecules, 29, No. 17, 5678–5687 (1996).
S. Fujiwara and T. Sato, J. Chem. Phys., 107, No. 2, 613–622 (1997).
G. Zifferer, J. Chem. Phys., 109, No. 9, 3691–3698 (1998).
A. É. Arinshtein, Zh. Éksp. Teor. Fiz., 118, No. 1 (7), 232–252 (2000).
A. E. Arinshtein, in: Mathematical Modeling Problems, Methods, Applications, New York–London–Moscow (2001), pp. 155–166.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arinshtein, A.É. Statistics of Polymer‐Chain Conformations in the Intrinsic Coordinate System. Journal of Engineering Physics and Thermophysics 76, 507–515 (2003). https://doi.org/10.1023/A:1024796208994
Issue Date:
DOI: https://doi.org/10.1023/A:1024796208994