Intramolecular vibrational relaxation seen as expansion in phase space. III. The long-time limit

Pavlov-Verevkin, V. B.; Lorquet, Jean-Claude

doi:10.1063/1.474910

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Intramolecular vibrational relaxation seen as expansion in phase space. III. The long-time limit

Pavlov-Verevkin, V. B.; Lorquet, Jean-Claude

1997 • In Journal of Chemical Physics, 107 (17), p. 6677-6680

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https://hdl.handle.net/2268/185797

DOI
10.1063/1.474910

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Keywords :

Intramolecular vibrational relaxation; phase space sampling; Regular/chaotic dynamics

Abstract :

[en] Asymptotic formulas that describe the behavior of the function N(T) measuring the phase space volume sampled by a nonstationary wave packet during its time evolution are derived. It is shown that, in the long-time limit, N(T)∼T-1 when the dynamics is regular, whereas N(T)∼T-2 In T for the chaotic case. © 1997 American Institute of Physics.

Disciplines :

Physics
Chemistry

Author, co-author :

Pavlov-Verevkin, V. B.; Département de Chimie, Université de Liège, B-4000 Liège 1, Belgium, Chemistry Department, Moscow State University, Moscow 119899, Russian Federation

Lorquet, Jean-Claude ; Université de Liège > Relations académiques et scientifiques (Sciences)

Language :

English

Title :

Intramolecular vibrational relaxation seen as expansion in phase space. III. The long-time limit

Publication date :

1997

Journal title :

Journal of Chemical Physics

ISSN :

0021-9606

eISSN :

1089-7690

Publisher :

American Institute of Physics, United States - New York

Volume :

107

Issue :

Pages :

6677-6680

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 10 September 2015

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Bibliography

E. J. Heller, J. Chem. Phys. 68, 2066, 3891 (1978); Acc. Chem. Res. 14, 368 (1981).
E. J. Heller, J. Chem. Phys. 68, 2066, 3891 (1978); Acc. Chem. Res. 14, 368 (1981).
O. Imre, J. L. Kinsey, A. Sinha, and J. Krenos, J. Phys. Chem. 88, 3956 (1984).
E. J. Heller, Phys. Rev. A 35, 1360 (1987).
B. R. Johnson and J. L. Kinsey, J. Chem. Phys. 91, 7638 (1989).
R. Schinke and V. Engel, J. Chem. Phys. 93, 3252 (1990).
J. C. Lorquet and V. B. Pavlov-Verevkin, J. Chem. Phys. 93, 520 (1990).
J. C. Lorquet, Y. M. Engel, and R. D. Levine, Chem. Phys. Lett. 175, 461 (1990).
F. Remade and R. D. Levine, Chem. Phys. Lett. 181, 307 (1991); J. Chem. Phys. 98, 2144 (1993); in Dynamics of Molecules and Chemical Reactions, edited by Robert E. Wyatt and John Z. H. Zhang (Marcel Dekker, New York, 1996), p. 1.
F. Remade and R. D. Levine, Chem. Phys. Lett. 181, 307 (1991); J. Chem. Phys. 98, 2144 (1993); in Dynamics of Molecules and Chemical Reactions, edited by Robert E. Wyatt and John Z. H. Zhang (Marcel Dekker, New York, 1996), p. 1.
F. Remade and R. D. Levine, Chem. Phys. Lett. 181, 307 (1991); J. Chem. Phys. 98, 2144 (1993); in Dynamics of Molecules and Chemical Reactions, edited by Robert E. Wyatt and John Z. H. Zhang (Marcel Dekker, New York, 1996), p. 1.
D. Chapman, J. M. Bowman, and B. Gazdy, J. Chem. Phys. 96, 1919 (1992).
R. E. Wyatt and C. Iung, J. Chem. Phys. 98, 5191 (1993).
K. Hirai, E. J. Heller, and P. Gaspard, J. Chem. Phys. 103, 5970 (1995).
V. B. Pavlov-Verevkin and J. C. Lorquet, J. Chem. Phys. 104, 1362 (1996).
P. Pechukas, Chem. Phys. Lett. 86, 553 (1982).
L. Leviandier, M. Lombardi, R. Jost, and J. P. Pique, Phys. Rev. Lett. 56, 2449 (1986).
J. P. Pique, Y. Chen, R. W. Field, and J. L. Kinsey, Phys. Rev. Lett. 58, 475 (1987).
J. Wilkie and P. Brumer, Phys. Rev. Lett. 67, 1185 (1991).
R. D. Levine and J. L. Kinsey, Proc. Natl. Acad. Sci. USA 88, 11 133 (1991).
Y. Alhassid and R. D. Levine, Phys. Rev. A 46, 4650 (1992); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1993).
Y. Alhassid and R. D. Levine, Phys. Rev. A 46, 4650 (1992); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1993).
S. Mahapatra, R. Ramaswamy, and N. Sathyamurthy, J. Chem. Phys. 104, 3989 (1996).
F. Iachello and R. D. Levine, Europhys. Lett. 4, 389 (1987); R. D. Levine, Adv. Chem. Phys. 70, 53 (1988).
F. Iachello and R. D. Levine, Europhys. Lett. 4, 389 (1987); R. D. Levine, Adv. Chem. Phys. 70, 53 (1988).
N. Rosenzweig and C. E. Porter, Phys. Rev. 120, 1698 (1960).
E. Haller, H. Köppel, and L. S. Cederbaum, Chem. Phys. Lett. 101, 215 (1983); Th. Zimmermann, L. S. Cederbaum, H. D. Meyer, and H. Köppel, J. Phys. Chem. 91, 4446 (1987); Th. Zimmermann, L. S. Cederbaum, and H. Koppel, Ber. Bunsenges. Phys. Chem. 92, 217 (1988).
E. Haller, H. Köppel, and L. S. Cederbaum, Chem. Phys. Lett. 101, 215 (1983); Th. Zimmermann, L. S. Cederbaum, H. D. Meyer, and H. Köppel, J. Phys. Chem. 91, 4446 (1987); Th. Zimmermann, L. S. Cederbaum, and H. Koppel, Ber. Bunsenges. Phys. Chem. 92, 217 (1988).
E. Haller, H. Köppel, and L. S. Cederbaum, Chem. Phys. Lett. 101, 215 (1983); Th. Zimmermann, L. S. Cederbaum, H. D. Meyer, and H. Köppel, J. Phys. Chem. 91, 4446 (1987); Th. Zimmermann, L. S. Cederbaum, and H. Koppel, Ber. Bunsenges. Phys. Chem. 92, 217 (1988).
C. E. Porter, in Statistical Theories of Spectra: Fluctuations, edited by. C. E. Porter (Academic, New York, 1965), p. 511.
C. E. Hamilton, J. L. Kinsey, and R. W. Field, Annu. Rev. Phys. Chem. 37, 493 (1986).
E. M. Merzbacher, Quantum Mechanics (Wiley, New York, 1970), p. 479.