Segment motion in the reptation model of polymer dynamics. I. Analytical investigation

Journal of Statistical Physics

Volumn 90, Issue 5-6, 1998, Pages 1325-1373

  Ebert, U ^a   Schafer L ^b   Baumgartner A ^c  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Polymer dynamics; Reptation

Indexed keywords

EID: 0039572182     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023239630220     Document Type: Article

References (20)

1. P. G. De Gennes, J. Chem. Phys. 55:572 (1971).
2. T. P. Lodge, N. A. Rotstein, and S. Prager, Advances Chem. Phys. LXXIX, Prigogine and Rice. eds. (Wiley, 1990).
3. W. W. Graessley, Adv. Pol. Sci. 74:67 (1982).
4. M. Muthukumar and A. Baumgärtner, Macromol. 22:1941 (1989).
5. J. Machta, Phys. Rev. A 40:1720 (1989).
6. G. W. Slater and S. Y. Wu, Phys. Rev. Lett. 75:164 (1995).
7. U. Ebert, A. Baumgärtner, and L. Schäfer, Phys. Rev. E 53:950 (1996).
8. K. Kremer and G. S. Grest, J. Chem. Phys. 92:5057 (1990).
9. J. S. Shaffer, J. Chem. Phys. 101:4205 (1994).
10. K. E. Evans and S. F. Edwards, J. Chem. Soc., Faraday Trans. 2:1891 (1981).
11. A. Baumgärtner, U. Ebert, and L. Schäfer, Segment Motion in the Reptation Model of Polymer Dynamics. II. Simulations [J. Stat. Phys. 90:1375 (1998)].
12. U. Ebert, A. Baumgärtner, and L. Schäfer, Phys. Rev. Lett. 78:1592 (1997).
13. M. Rubinstein, Phys. Rev. Lett. 59:1946 (1987).
14. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
15. M. Doi, J. Pol. Sci., Pol. Phys. Ed. 21:667 (1983).
16. S. Müller and L. Schäfer, European Physical Journal B, (in press).
17. F. Spitzer, Principles of Random Walk (Springer, Heidelberg, 1976), Sect. 19.
18. N. P. T. O'Connor and R. C. Ball, Macromol. 25:5677 (1992).
19. K. Kremer, Macromol. 16:1632 (1983).
20. U. Ebert, J. Stat. Phys. 82:183 (1996).