Nonlinear field dependence of the mobility of a charge subjected to a superposition of dichotomous stochastic potentials

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

Volumn 58, Issue 1, 1998, Pages 99-106

  Kenkre, V M ^a   Kus M ^a   Dunlap, D H ^a   Parris, P E ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002403138     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.99     Document Type: Article

References (24)

1. R. Peterson, Rev. Mod. Phys. 39, 69 (1967)
2. V. M. Kenkre and M. Dresden, Phys. Rev. Lett. 6A, 769 (1971)
3. V. M. Kenkre, Phys. Rev. A 7, 772 (1973).PLRAAN
4. P. E. Parris, M. Kuś, D. H. Dunlap, and V. M. Kenkre, Phys. Rev. E 56, 5295 (1997).PLEEE8
5. M. Kuś and V. M. Kenkre, Phys. Rev. B 45, 9695 (1992).PRBMDO
6. See P. M. Borsenberger and D. S. Weiss, Organic Photoreceptors for Imaging Systems (Dekker, New York, 1993), and references
7. D. M. Pai, J. Chem. Phys. 52, 2285 (1970).JCPSA6
8. L. B. Schein, Philos. Mag. 65, 795 (1992); PHMAA4
9. Yu. N. Gartstein and E. M. Conwell, J. Chem. Phys. 100, 9175 (1994); JCPSA6
10. Yu. N. GartsteinE. M. ConwellChem. Phys. Lett. 217, 41 (1994)
11. S. V. Novikov and A. V. Vannikov, J. Phys. Chem. 99, 14 573 (1995).JPCHAX
12. H. Bässler, Phys. Status Solidi B 175, 15 (1993).PSSBBD
13. D. H. Dunlap, P. E. Parris, and V. M. Kenkre, Phys. Rev. Lett. 77, 542 (1996).PRLTAO
14. P. E. Parris, D. H. Dunlap, and V. M. Kenkre, J. Polym. Sci., Part B: Polym. Phys. 35, 2803 (1997).JPBPEM
15. R. S. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)
16. M. Lax, Phys. Rev. 109, 1921 (1958).PHRVAO
17. See, e.g., Katja Lindenberg and Bruce J. West, The Nonequilibrium Statistical Mechanics of Open and Closed Systems (VCH, New York, 1990), p. 42.
18. S. A. Visser, J. A. Sinicropi, E. H. Magin, and P. M. Borsenberger, Proc. SPIE 3144, 110 (1987)
19. M. Abkowitz, H. Bässler, and M. Stolka, Philos. Mag. B 63, 201 (1991).PMABDJ
20. See, e.g., C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
21. For simplicity, we assume that there is a single extremum. The analysis should be repeated for additional extrema if present.
22. As another example of the general asymptotic formula, we mention the rectangular pulse density function which results in Eq. (5.7) for the correlation function. Application of Eq. (6.3) gives the transcendental equation (ym/σ)2wqEkT+e-(s+w)ym[1+(s+w)ym]-e-sym(1+sym)=0,whose solution ym has to be obtained numerically. It is trivial, however, to calculate the mobility for any parameter values through a computer algorithm which first solves the above equation and substitutes the solution in Eq. (6.8) to obtain the mobility.
23. See, e.g., R. Silbey and R. Munn, J. Chem. Phys. 72, 2763 (1980).JCPSA6
24. See, e.g., J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, Cambridge, 1979), p. 215.