Abstract
A model for concentrated polymer system is proposed. Dynamics of the chain segments is described by a discrete Langevin equation. The Langevin equation has the same structure as the recursion relation for the generalized random walks (GRW). Motions of the chain segments described by the GRW have two different types of jumping probabilities: “rapidly varying parts” and “slowly varying parts”. Based on a postulate for the recursion relation, an interplay between the motions arisen from these characteristic behaviors is given explicitly and studied.
Similar content being viewed by others
References
Isihara, A., Hashitsume, N., Tatibana, M.: J. Chem. Phys.19, 1508 (1951);
Isihara, A.: Statistical Physics. New York: Academic Press 1971
Rouse, P.E.: J. Chem. Phys.21, 1272 (1953);
Zimm, B.H.: J. Chem. Phys.24, 269 (1956)
de Gennes, P.G.: J. Chem. Phys.55, 572 (1971)
Doi, M., Edwards, S.F.: J. Chem. Soc. Faraday Trans. II74, 1789 (1978)
Hara, H.: Read at the 39th Statistical Mechanics Meeting. Rutgers Univ., May 1978;
Hara, H.: Phys. Rev. B20, 4062 (1979);
Hara, H.: Z. Phys. B-Condensed Matter32, 405 (1979);
Hara, H., Choi, S.D.: Z. Phys. B-Condensed Matter38, 351 (1980)
Hara, H.: Read at STATPHYS 14, University of Alberta, August, 1980
Mori, H., Morita, T., Mashiyama, K.T.: Progr. Theor. Phys.63, 1865 (1980)
Hara, H., Fujita, S., Watanabe, R.: Int. Theor. Phys.18, 271 (1979)
Hentschel, H.G.E.: Z. Phys. B-Condensed Matter37, 351 (1980)
As for non-gaussian characters of noise, see Leibowitz, M.A.: J. Math. Phys.4, 852 (1963);
Williams, M.M.R.: Random Processes in Nuclear Reactors. New York: Pergamon Press 1974
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hara, H. A model of concentrated polymers described by generalized random walks. Z. Physik B - Condensed Matter 43, 321–327 (1981). https://doi.org/10.1007/BF01292799
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01292799