Fluctuations of the winding number of a directed polymer in a random medium

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 4 1, 2003, Pages 411011-4110113

  Brunet, Éric ^a  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; FERMIONS; FREE ENERGY; FUNCTIONS; GAUSSIAN NOISE (ELECTRONIC); HAMILTONIANS; QUANTUM THEORY; SUPERCONDUCTING MATERIALS; THERMAL NOISE;

DISORDERED SYSTEM; WINDING NUMBER;

POLYMERS;

EID: 0348195580     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. M. Kardar, Nucl. Phys. B290, 582 (1987).
2. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995).
3. É. Brunet and B. Derrida, Physica A 279, 398 (2000).
4. É. Brunet and B. Derrida, Phys. Rev. E 61, 6789 (2000).
5. T. Emig and M. Kardar, Nucl. Phys. B604, 479 (2001).
6. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
7. J. Krug, Adv. Phys. 46, 139 (1997).
8. F. Spitzer, Trans. Am. Math. Soc. 87, 187 (1958).
9. B. Drossel and M. Kardar, Phys. Rev. Lett. 53, 5861 (1996).
10. B. Drossel and M. Kardar, in Theoretical and Mathematical Models in Polymer Research, edited by A. Grosberg (Academic Press, Orlando, FL, 1998), p. 187.
11. D. R. Nelson and A. Stern, in Complex Behavior of Glassy Systems, XIV Sitges Conference, edited by Miguel Rudy and Conrado Perez-Vicente, Lecture Notes in Physics Vol. 492 (Springer-Verlag, Berlin, 1997).
12. T. Nattermann, T. Giamarchi, and P. Le Doussal, Phys. Rev. Lett. 91, 056603 (2003).
13. T. Giamarchi and E. Orignac, in Theoretical Methods for Strongly Correlated Electrons, CRM Series in Mathematical Physics (Springer, Heidelberg, 2003).
14. J.-P. Bouchaud and H. Orland, J. Stat. Phys. 61, 877 (1990).
15. E. H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963).
16. C. N. Yang and C. P. Yang, J. Math. Phys. 10, 1115 (1969).
17. M. Gaudin, Phys. Rev. A 4, 386 (1971).
18. M. Jimbo, T. Miwa, Y. Môri, and M. Sato, Physica D 1, 80 (1980).
19. H. B. Thacker, Rev. Mod. Phys. 53, 253 (1981).
20. M. Gaudin, La Fonction d'Onde de Bethe (Massen, Paris, 1983).
21. H. A. Bethe, Z. Phys. 71, 205 (1931).
22. S. F. Edwards and P. W. Anderson, J. Phys. F: Met. Phys. 5, 965 (1975).
23. J. B. Mc'Guire, J. Math. Phys. 5, 622 (1964).
24. M. Kardar, Phys. Rev. Lett. 55, 2923 (1985).
25. D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985).
26. D. A. Huse, C. L. Henley, and D. S. Fisher, Phys. Rev. Lett. 55, 2924 (1985).
27. U. Schulz, J.Villain, É. Brézin, and H. Orland, J. Stat. Phys. 51, 1 (1988).
28. T. Hwa and D. S. Fisher, Phys. Rev. B 49, 3136 (1994).
29. C. N. Yang, Phys. Rev. Lett. 19, 1312 (1967).
30. B. Sutherland, Phys. Rev. Lett. 20, 98 (1968).
31. M. Takahashi, Prog. Theor. Phys. 44, 899 (1970).
32. A. Lascoux, B. Leclerc, and J.-Y. Thibon, Lett. Math. Phys. 1, 75 (1997).