Localization of a polymer in random media: Relation to the localization of a quantum particle

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Shiferaw, Yohannes ^a   Goldschmidt, Yadin ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELEMENTARY PARTICLES; HAMILTONIANS; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS; QUANTUM THEORY;

QUANTUM PARTICLE;

POLYMERS;

EID: 0035333534     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.051803     Document Type: Article

References (27)

1. A. Baumgartner and M. Muthukumar, J. Chem. Phys. 87, 3082 (1987).
2. S. F. Edwards and M. Muthukumar, J. Chem. Phys. 89, 2435 (1988).
3. M. E. Cates and C. Ball, J. Phys. (France) 89, 2435 (1988).
4. T. Nattermann and W. Renz, Phys. Rev. A 40, 4675 (1989).
5. Y. C. Zhang, Phys. Rev. Lett. 56, 2113 (1986).
6. A. Baumgartner and M. Muthukumar, in Advances in Chemical Physics Polymeric Systems, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996), Vol. XCIV.
7. Y. Y. Goldschmidt, Phys. Rev. E 61, 1729 (2000).
8. Y. Shiferaw and Y. Y. Goldschmidt J. Phys. A 33, 4461 (2000).
9. Y. Y. Goldschmidt, Phys. Rev. E 53, 343 (1996).
10. D. R. Nelson and V. M. Vinokur, Phys. Rev. B 48, 13 060 (1993).
11. Y. Y. Goldschmidt, Phys. Rev. B 56, 2800 (1997).
12. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
13. B. Souillard, in Chance and Matter, Proceedings of the Les Houches Summer School of Theoretical Physics, 1986, edited by J. Souletie, J. Vannismenus, and R. Stora (North-Holland, Amsterdam, 1987).
14. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University, Oxford, 1986).
15. H-Y. Chen and Y. Y. Goldschmidt, J. Phys. A 30, 1803 (1997).
16. R. P. Feynman, Statistical Mechanics: A Set of Lectures (Benjamin, New York, 1972).
17. J. Fröhlich and T. Spencer, Commun. Math. Phys. 88, 151 (1983).
18. B. Halperin, Phys. Rev. 139, A104 (1965).
19. E. I. Shakhnovich and A. M. Gutin, J. Phys. A 22, 1647 (1989).
20. M. Mezard and G. Parisi, J. Phys. (France) I 1, 809 (1991).
21. M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
22. W. H. Press et al., Numerical Recipes in Fortran, 2nd ed. (Cambridge University, Cambridge, England, 1992).
23. H. A. Makse, S. Havlin, H. E. Stanley, and M. Schwartz, Chaos, Solitons Fractals 6, 295 (1995).
24. J. P. Bouchaud and M. Mezard, J. Phys. A 30, 7997 (1997).
25. I. M. Lifshits, S. A. Gredeskul, and L. A. Patur, Introduction to the Theory of Disordered Systems (Wiley, New York, 1988);
26. I. M. Lifshits, Adv. Phys. 13, 483 (1964).
27. J. Zittartz and J. S. Langer, Phys. Rev. 148, 741 (1966).