Stochastic trajectories in single molecule kinetics coupled to several Gaussian Markovian coordinates are analyzed using a generating function obtained by solving the multidimensional Smoluchowski equation. Multitime correlation functions are computed and used to identify direct signatures of non-Poissonian kinetics resulting from coupling to slow coordinates. Effects of various degrees of correlation between collective coordinates with multiple time scales are studied.
REFERENCES
1.
2.
X. S.
Xie
and J. K.
Trautman
, Annu. Rev. Phys. Chem.
49
, 441
(1998
).3.
4.
T.
Plakhotnik
, E. A.
Donley
, and U. P.
Wild
, Annu. Rev. Phys. Chem.
48
, 181
(1997
).5.
6.
M. Orrit, J. Bernard, R. Brown, and B. Lounis, Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 1996).
7.
T. Basche, W. E. Moerner, M. Orrit, and U. P. Wild, Single Molecule Optical Detection, Imaging and Spectroscopy (Chemie, Weinheim, Germany, 1997).
8.
M.
Orrit
, J.
Bernard
, A.
Zambusch
, and R. I.
Personov
, Chem. Phys. Lett.
196
, 595
(1992
);M.
Orrit
, J.
Bernard
, A.
Zambusch
, and R. I.
Personov
, Chem. Phys. Lett.
199
, 408
(1992
).9.
10.
“Spectroscopy of Single Molecules in Physics, Chemistry, and Life Sciences” Special Issue Chem. Phys. edited by R. Rigler and P. G. Wolynes 247, 1 (1999).
11.
12.
13.
M. A.
Bopp
, Y.
Jia
, G.
Haran
, E. A.
Morlina
, and R. M.
Hochstrasser
, Appl. Phys. Lett.
73
, 7
(1998
).14.
J. J.
Macklini
, J. K.
Trautman
, T. D.
Harris
, and L. E.
Brus
, Science
272
, 255
(1996
);J. K.
Trautman
, J. J.
Macklini
, L. E.
Brus
, and E.
Betzig
, Nature (London)
369
, 40
(1994
).15.
M.
Kuno
, D. P.
Fromm
, H. F.
Hamann
, A.
Gallagher
, and D. J.
Nesbitt
, J. Chem. Phys.
112
, 3117
(2000
).16.
K. T.
Shimizu
, R. G.
Neuhauser
, C. A.
Leatherdale
, S. A.
Empedocles
, W. K.
Woo
, and M. G.
Bawendi
, Phys. Rev. B
63
, 205316
(2000
).17.
R. M.
Dickson
, D. J.
Norris
, Y.-L.
Tzeng
, and W. E.
Moerner
, Science
274
, 966
(1996
).18.
19.
T.
Ha
, J.
Glass
, T.
Enderle
, D. S.
Chemla
, and S.
Weiss
, Phys. Rev. Lett.
80
, 2093
(1998
).20.
S.
Wennmaim
, L.
Edman
, and R.
Rigler
, Prog. Natl. Acad. USA
94
, 10641
(1997
).21.
D. A. Vanden
Bout
, W.-T.
Yip
, D.
Hu
, D.-K.
Fu
, T. M.
Swager
, and P.
Barbara
, Science
277
, 1074
(1997
).22.
G. K.
Schenter
, H. P.
Lu
, and X. S.
Xie
, J. Phys. Chem. A
103
, 10477
(1999
).23.
24.
25.
26.
P. D.
Reilly
and J.
Skinner
, Phys. Rev. Lett.
71
, 4257
(1993
).27.
M.
Kuno
, D. P.
Fromm
, H. F.
Hamann
, A.
Gallagher
, and D. J.
Nesbitt
, J. Chem. Phys.
112
, 3117
(2000
);K. T.
Shimizu
, R. G.
Neuhauser
, C. A.
Leatherdale
, S. A.
Empedocles
, W. K.
Woo
, and M. G.
Bawendi
, Phys. Rev. B
63
, 205316
(2001
).28.
V.
Chernyak
, M.
Schulz
, and S.
Mukamel
, J. Chem. Phys.
111
, 7416
(1999
).29.
30.
J. Klafter, G. Zumofen, and M. F. Shlesinger, Proceedings of the Enrico Fermi Varenna School on Complex Systems Course CXXXIV, edited by F. Mallamace and H. E. Stanley (Elsevier, Amsterdam, 1997).
31.
32.
33.
A. M.
Berezhkivskii
, A.
Szabo
, and G. H.
Weiss
, J. Chem. Phys.
110
, 9145
(1999
).34.
A. M.
Berezhkivskii
, A.
Szabo
, and G. H.
Weiss
, J. Phys. Chem. B
104
, 3776
(2000
).35.
A.
Szabo
, K.
Schulten
, and Z.
Schulten
, J. Chem. Phys.
72
, 4350
(1980
).36.
37.
38.
39.
40.
N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
41.
H. Risken, The Fokker–Planck Equation (Springer, New York, 1984).
42.
43.
S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
44.
45.
46.
This content is only available via PDF.
© 2002 American Institute of Physics.
2002
American Institute of Physics
You do not currently have access to this content.
