Distributed approximating functional approach to the Fokker-Planck equation: Time propagation

Journal of Chemical Physics

Volumn 107, Issue 8, 1997, Pages 3239-3246

  Wei, G W ^a   Zhang, D S ^a   Kouri, D J ^a   Hoffman, D K ^b  

^a University of Houston   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009254650     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474674     Document Type: Article

References (33)

1. H. Haken, Rev. Mod. Phys. 47, 175 (1975).
2. H. Grabert and M. S. Green, Phys. Rev. A 19, 1747 (1979).
3. H. Dekker, Phys. Rev. A 19, 2102 (1979).
4. M. F. Wehner and W. G. Wolfer, Phys. Rev. A 27, 2663 (1983).
5. H. Risken, The Fokker-Planck Equation: Methods of Solution and Application (Springer-Verlag, Berlin, 1984).
6. D. L. Ermak and H. Buckholtz, J. Comput. Phys. 35, 169 (1980).
7. P. D. Lax, Commun. Pure Appl. Math. 6, 231 (1953).
8. G. E. Forsythe and W. R. Wasow, Finite Difference Methods for Partial Differential Equations (Wiley, New York, 1967).
9. V. Palleschi, F. Sarri, G. Marcozzi, and M. R. Torquati, Phys. Lett. A 146, 378 (1990).
10. J. S. Chang and G. Cooper, J. Comput. Phys. 6, 1 (1970).
11. E. W. Larson, C. D. Levermore, G. C. Pomraning, and J. G. Sanderson, J. Comput. Phys. 61, 359 (1985).
12. E. M. Epperlein, J. Comput. Phys. 112, 291 (1994).
13. M. Suzuki, Adv. Chem. Phys. 46, 195 (1981).
14. B. Caroh, C. Caroli, and B. Roulet, J. Stat. Phys. 26, 83 (1981).
15. B. Shizgal, J. Comput. Phys. 41, 309 (1981).
16. R. Blackmore and B. Shizgal, Phys. Rev. A 31, 1855 (1985).
17. D. S. Zhang, G. W. Wei, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 106, 5216 (1997).
18. D. K. Hoffman, N. Nayar, O. A. Sharafeddin, and D. J. Kouri, J. Phys. Chem. 95, 8299 (1991).
19. D. K. Hoffman and D. J. Kouri, J. Phys. Chem. 96, 1179 (1992).
20. D. S. Zhang, G. W. Wei, D. J. Kouri, and D. K. Hoffman, Phys. Rev. E (in press).
21. G. W. Wei, D. S. Zhang, D. J. Kouri, and D. K. Hoffman, Comput. Meth. Appl. Mech. Engg. (submitted).
22. H. A. Kramers, Physica 7, 284 (1940).
23. J. E. Moyal, J. Ry. Stat. Soc. London B 11, 150 (1949).
24. G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36, 823 (1930).
25. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
26. R. Indira, M. C. Valsakumar, K. P. N. Murthy, and G. Ananthakrishna, J. Stat. Phys. 33, 181 (1983).
27. H. Brand, A. Schenzle, and G. Schröder, Phys. Rev. A 25, 2324 (1982).
28. R. F. Pawula, Phys. Rev. 162, 186 (1967).
29. M. O. Hongler and R. C. Desai, Helv. Phys. Acta 59, 367 (1986).
30. J. A. Barker, M. R. Hoare, and S. Ravel, J. Phys. London A 14, 423 (1981).
31. N. G. van Kampen, J. Stat. Phys. 17, 71 (1977); H. Dekker and N. G. van Kampen, Phys. Lett. 73, 374 (1979).
32. N. G. van Kampen, J. Stat. Phys. 17, 71 (1977); H. Dekker and N. G. van Kampen, Phys. Lett. 73, 374 (1979).
33. R. S. Larson and M. Kostin J. Chem. Phys. 69, 4821 (1978).