Diffusion coefficient for disordered systems with coupled coherent and incoherent transport in one dimension

Journal of Chemical Physics

Volumn 113, Issue 14, 2000, Pages 5632-5643

  Pfluegl, Wolfgang ^a   Palenberg, Markus A ^b   Silbey, Robert J ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CORRELATION METHODS; INTEGRAL EQUATIONS; LATTICE VIBRATIONS; RANDOM PROCESSES; TRANSPORT PROPERTIES; WHITE NOISE;

COHERENT TRANSPORT; DISORDERED SYSTEMS; INCOHERENT TRANSPORT;

DIFFUSION;

EID: 0034299232     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1308108     Document Type: Article

References (38)

1. S. Chandrasekhar and S. K. Prasad, Contemp. Phys. 40, 237 (1999).
2. N. Boden, R. J. Bushby, J. Clements, B. Movaghar, K. J. Donovan, and T. Kreouzis, Phys. Rev. B 52, 13274 (1995).
3. J. Simmerer, B. Glüsen, W. Paulus, A. Kettner, P. Schuhmacher, D. Adam. K.-H. Etzbach, K. Siemensmeyer, J. H. Wendorff, H. Ringsdorf, and D. Haarer, Adv. Mater. 8, 815 (1996).
4. A. M. van de Craats, L. D. A. Siebbeles, I. Bleyl, D. Haarer, Y. A. Berlin, A. A. Zharikov, and J. M. Warman, J. Phys. Chem. B 102, 9625 (1998).
5. Handbook of Conducting Polymers, edited by T. A. Skotheim, Vols. 1 and 2 (Marcel Dekker, New York, 1986).
6. N. Boden, R. J. Bushby, and J. Clements, J. Chem. Phys. 98, 5920 (1993).
7. N. Boden, R. J. Bushby, J. Clements, K. Donovan, B. Movaghar, and T. Kreouzis, Phys. Rev. B 58, 3063 (1998).
8. Y. A. Berlin, L. D. A. Siebbeles, and A. A. Zharikov, Chem. Phys. Lett. 276, 361 (1997).
9. O. Hilt and L. D. A. Siebbeles, Chem. Phys. Lett. 269, 257 (1997).
10. Y. A. Berlin and A. L. Burin, Chem. Phys. Lett. 257, 665 (1996).
11. J. W. Haus, K. W. Kehr, and K. Kitahara, Z. Phys. B 50, 161 (1983).
12. J. C. Dyre, J. Appl. Phys. 64, 2456 (1988).
13. R. Zwanzig, Chem. Phys. Lett. 164, 639 (1989).
14. R. Zwanzig, Acc. Chem. Res. 23, 148 (1990).
15. A. Nitzan and M. A. Ratner, J. Phys. Chem. 98, 1765 (1994).
16. S. D. Druger, M. A. Ratner, and A. Nitzan, Phys. Rev. B 31, 3939 (1985).
17. R. Granek and A. Nitzan, J. Chem. Phys. 90, 3784 (1989).
18. J. Klafter and R. Silbey, Phys. Lett. A 76, 143 (1980).
19. H. Haken and G. Strobl, in The Triplet State, edited by A. Zahlan (Cambridge University Press, London, 1967), p. 311.
20. H. Haken and G. Strobl, Z. Phys. 262, 135 (1973).
21. H. Haken and P. Reineker, Z. Phys. 249, 253 (1972).
22. P. Reineker, V. M. Kenkre, and R. Kühne, Phys. Lett. A 84, 294 (1981).
23. P. Reineker, in Exciton Dynamics in Molecular Crystals and Aggregates, edited by G. Höhler (Springer-Verlag, Berlin, 1982).
24. K. Kitahara and J. W. Haus, Z. Phys. B 32, 419 (1979).
25. B. Jackson and R. Silbey, J. Chem. Phys. 75, 3293 (1981).
26. V. M. Kenkre, R. Kühne, and P. Reineker, Z. Phys. B 41, 177 (1981).
27. M. A. Palenberg, R. J. Silbey, M. Malagoli, and J.-L. Brédas, J. Chem. Phys. 112, 1541 (2000).
28. A. Blumen and R. Silbey, J. Chem. Phys. 69, 3589 (1978).
29. R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962).
30. R. Kubo, J. Math. Phys. 4, 174 (1963).
31. An explicit derivation of both equations in the interaction picture may be found in Ref. 32.
32. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981).
33. M. A. Palenberg, R. J. Silbey, and W. Pfluegl, Phys. Rev. B (to be published).
34. i [we neglected the factor 4 of Eq. (4)].
35. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer-Verlag, Berlin, 1966).
36. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
37. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer-Verlag, Berlin, 1966), p. 46 f.
38. We use the notation of Ref. 35 here, which differs from Ref. 36.