Residence time densities for non-Markovian systems. (I). The two-state system

Physica A: Statistical Mechanics and its Applications

Volumn 282, Issue 3, 2000, Pages 475-485

  Boguna M ^a   Berezhkovskii, A M ^b   Weiss, G H ^a  

^a Mathemat and Statist Comput Lab   (United States)

^b EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRONIC DENSITY OF STATES; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; NUMERICAL ANALYSIS; PHASE TRANSITIONS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

NON MARKOVIAN SYSTEMS; RESIDENCE TIME DENSITIES; TWO STATE SYSTEM;

MOLECULAR DYNAMICS;

EID: 0033713741     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00091-1     Document Type: Article

References (37)

1. W.E. Moerner (Ed.), Acc. Chem. Res. 29 (1996) 561 (a special issue entirely devoted to SMS).
2. Nie S., Zare R.N. Ann. Rev. Biophys. Biomol. Struct. 26:1997;567.
3. Xie X.S., Trautman J.K. Ann. Rev. Phys. Chem. 49:1998;441.
4. Science 283, No. 5408, 1999 (contains a collection of articles devoted to SMS).
5. Chem. Phys. 247 (1999) 1 (a special issue entirely devoted to SMS).
6. Ambrose W.P., Goodwin P.M., Jett J.H., Van Orden A., Werner J.H., Keller R.A. Chem. Rev. 99:1999;2929.
7. Edman L., Mets Ü., Rigler R. Proc. Nat. Acad. Sci. USA. 93:1996;6710.
8. Wennmalm S., Edman L., Rigler R. Proc. Nat. Acad. Sci. 94:1997;10 641.
9. Jia Y., Sytnik A., Li L., Vladimirov S., Cooperman B.S., Hochstrasser R.M. Proc. Nat. Acad. Sci. USA. 94:1997;7932.
10. Geva E., Skinner J.L. Chem. Phys. Lett. 288:1998;225.
11. Edman L., Wennmalm S., Tamsen F., Rigler R. Chem. Phys. Lett. 292:1998;15.
12. Berezhkovskii A.M., Szabo A., Weiss G.H. J. Chem. Phys. 110:1999;9145.
13. A.M. Berezhkovskii, A. Szabo, G.H. Weiss, J. Phys. Chem. (2000), to appear.
14. M. Boguñá, A.M. Berezhkovskii, G.H. Weiss, Physica A 282 (2000) 486.
15. Giddings J.C., Eyring H. J. Phys. Chem. 59:1955;416.
16. Weiss G.H. Sep. Sci. Technol. 17:1982;1609.
17. Yarmola E., Calabrese P.P., Chrambach A., Weiss G.H. J. Phys. Chem. B. 101:1997;2381.
18. Takács L. Theor. Prob. Appl. 3:1958;58.
19. Takács L. Trans. Am. Math. Soc. 93:1959;531.
20. Kesten H. Trans. Am. Math. Soc. 82:1962;103.
21. Rubin R.J., Weiss G.H. J. Math. Phys. 23:1982;250.
22. Weiss G.H. J. Stat. Phys. 15:1976;157.
23. Weiss G.H. Aspects and Applications of the Random Walk. 1994;North-Holland, Amsterdam.
24. Lévy P. Processus Stochastiques et movement Brownien. 1948;Gauther-Villars, Paris.
25. Itô K., McKean H.P. Jr. Diffusion Processes and their Sample Paths. 1974;Springer, Berlin.
26. Darling D.A., Kac M. Trans. Am. Math. Soc. 84:1957;444.
27. Karlin S., Taylor H.M. A Second Course in Stochastic Processes. 1981;Academic Press, New York.
28. Borodin A.N., Salminen P. Handbook of Brownian Motion-Facts and Formulae. 1996;Birkhäuser Verlag, Basel.
29. Downton F. J. Appl. Prob. 9:1972;414.
30. Hernández-Suárez C.M., Castillo-Chavez C.C. Math. Biosci. 161:1999;95.
31. Weiss G.H., Nossal R.J., Bonner R.F. J. Mod. Opt. 36:1989;349.
32. Bicout D.J., Berezhkovskii A.M., Weiss G.H. Physica A. 258:1998;352.
33. Bicout D.J., Weiss G.H. Opt. Commun. 158:1998;213.
34. Berezhkovskii A.M., Zaloj V., Agmon N. Phys. Rev. E. 57:1998;3937.
35. Cox D.R. Renewal Theory. 1962;Methuen, London.
36. Tunaley J.K.E. J. Stat. Phys. 15:1976;167.
37. J. Masoliver, G.H. Weiss (2000) , in preparation.