Hopping models of charge transfer in a complex environment: Coupled memory continuous-time random walk approach

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

Volumn 72, Issue 6, 2005, Pages

  Gudowska Nowak, Ewa ^a   Bochenek, Kinga ^a   Jurlewicz, Agnieszka ^b   Weron, Karina ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS-TIME RANDOM WALKS (CTRW); HAVRILIAK-NEGAMI RESPONSES; HOPPING MODELS; PROBABILISTIC FORMALISM;

CHEMICAL RELAXATION; DIFFUSION; KINETIC THEORY; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PROBABILISTIC LOGICS;

CHARGE TRANSFER;

EID: 28844481104     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.061101     Document Type: Article

References (42)

1. E. W. Montroll and M. F. Schlesinger, in Nonequilibrium Phenomena: From Stochastics to Hydrodynamics, edited by, J. L. Lebowitz, and, E. W. Montroll, (North Holland, New York, 1984).
2. C. Friedrich, H. Schiessel, and A. Blumen, in Advances in the Flow and Rheology of Non-Newtonian Fluids, edited by, D. A. Siginer, D. De Kee, and, R. P. Chhabra, (Elsevier, New York, 1999).
3. Applications of Fractional Calculus in Physics, edited by, R. Hilfer, (World Scientific, Singapore, 2000).
4. H. Scher and E. W. Montroll, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.2455 12, 2455 (1975).
5. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
6. I. M. Sokolov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041101 66, 041101 (2002).
7. V. M. Zolotarev, One-dimensional Stable Distributions (Americal Mathematical Society, Providence, 1986).
8. Disorder Effects on Relaxational Processes, edited by, R. Richert, and, A. Blumen, (Springer Verlag, Berlin, 1994).
9. J. Ulstrup, Charge Transfer Processes in Condensed Media (Springer Verlag, Berlin, 1979).
10. R. A. Marcus and N. Sutin, Biochim. Biophys. Acta BBACAQ 0006-3002 10.1016/0304-4173(85)90014-X 811, 265 (1985).
11. K. S. Cole and R. H. Cole, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1750906 9, 341 (1941).
12. D. W. Davidson and R. H. Cole, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1748105 19, 1484 (1951).
13. S. Havriliak and S. Negami, J. Polym. Sci., Part C: Polym. Symp. JPSCDX 0449-2994 14, 99 (1966).
14. G. Williams and D. C. Watts, Trans. Faraday Soc. TFSOA4 0014-7672 10.1039/tf9706600080 66, 80 (1970).
15. A. K. Jonscher, Nature (London) NATUAS 0028-0836 10.1038/267673a0 267, 673 (1977).
16. Relaxation Phenomena, edited by, W. Haase, and, S. Wróbel, (Springer Verlag, Berlin, 2003).
17. V. S. Pande and J. N. Onuchic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.146 78, 146 (1997).
18. I. A. Balabin and J. N. Onuchic, Science SCIEAS 0036-8075 10.1126/science.290.5489.114 290, 114 (2000).
19. D. V. Matyushov, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1851981 122, 084507 (2005).
20. H. Yang, G. Luo, P. Karnchanaphanurach, T.-M. Louie, I. Rech, S. Cova, L. Xun, and X. S. Xie, Science SCIEAS 0036-8075 10.1126/science.1086911 302, 262 (2003).
21. W. Nadler and D. L. Stein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 88, 6750 (1991).
22. J. T. Hynes, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100407a044 90, 3701 (1986).
23. I. Daizadeh, E. Medvedev, and A. Stuchebrukhov, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.94.8.3703 94, 3703 (1997).
24. H. M. McConnell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731961 35, 508 (1961).
25. B. Giese, J. Amaudrut, A. K. Kohler, M. Spormann, and S. Wessely, Nature (London) NATUAS 0028-0836 10.1038/35085542 412, 318 (2001).
26. H. Weissman, G. H. Weiss, and S. Havlin, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01023645 57, 301 (1989).
27. J. Klafter and G. Zumofen, J. Chem. Phys. JCPSA6 0021-9606 10.1021/j100081a022 98, 7366 (1994).
28. D. Brockmann and T. Geisel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.048303 91, 048303 (2003).
29. D. Brockmann and I. Sokolov, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(02)00671-7 284, 409 (2002).
30. M. Kotulski, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02179257 81, 777 (1995).
31. K. Weron and M. Kotulski, Physica A PHYADX 0378-4371 10.1016/0378-4371(96)00209-9 232, 180 (1996).
32. A. Jurlewicz, Diss. Math. 431, 1 (2005).
33. I. M. Sokolov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.011104 Appl. Math. (Warsaw, Poland) 30, 325 (2003).
34. E. Gudowska-Nowak, G. Papp, and J. Brickmann, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(97)00125-0 220, 125 (1997);
35. E. Gudowska-Nowak, G. Papp, and J. Brickmann, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp9820828 102, 9554 (1998).
36. J. Schlichter, J. Friedrich, L. Herenyi, and J. Fidy, Biophys. J. BIOJAU 0006-3495 80, 2011 (2001).
37. A. Jurlewicz and K. Weron, Acta Phys. Pol. B APOBBB 0587-4254 31, 1077 (2000).
38. Y. P. Kalmykov, W. T. Coffey, D. S. F. Crothers, and S. V. Titov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.041103 70, 041103 (2004).
39. A. Plonka, Annu. Rep. Prog. Chem., Sect. C: Phys. Chem. ACPCDW 0260-1826 10.1039/b100666p 97, 91 (2001).
40. E. Gudowska-Nowak and K. Weron, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.011103 65, 011103 (2002).
41. L. Bade, E. G. Petrov, and V. May, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2003-00222-6 26, 187 (2003).
42. A. Janicki, A. Weron, Simulation and Chaotic Behavior of Stable Stochastic Processes (Marcel Dekker, New York, 1994).