Abstract
The short-time behavior of the vibrational-energy-time correlation function (VECF) is studied both theoretically and numerically for a one-dimensional model of diatomic molecules with harmonic intramolecular and hard intermolecular interactions. In the equipartition regime, the short-time expansion of the VECF is independent of the vibrational frequency and agrees with statistical mechanics.
Similar content being viewed by others
References
J. J. Erpenbeck and E. G. D. Cohen,Phys. Rev. A 38:3058 (1988).
A. Monge, E. G. D. Cohen, and J. J. Erpenbeck,Phys. Rev. A 43:2031 (1991).
G. Benettin, L. Galgani, and A. Giorgilli,Phys. Lett. A 120:23 (1987).
J. J. Erpenbeck and E. G. D. Cohen,Phys. Rev. A 43:5308 (1991).
J. H. Jeans,Phil. Mag. 6:279 (1903);10:91 (1905).
A. Monge, Ph.D. thesis, Rockefeller University, New York (1991).
M. Bishop and B. J. Berne,J. Chem. Phys. 60:893 (1974).
J. J. Erpenbeck and W. W. Wood, inModern Theoretical Chemistry, Vol. 6,Statistical Mechanics, Part B, Time-Dependent Processes, B. J. Berne, ed. (Plenum, New York, 1977).
A. Hald,Statistical Theory with Engineering Applications (Wiley, New York, 1952).
D. Lieberworth and E. G. D. Cohen,Phys. Lett. A 58:209 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Monge, A., Cohen, E.G.D. Short-time behavior of the vibrational-energy-time correlation function for a one-dimensional model of diatomic molecules. J Stat Phys 66, 595–605 (1992). https://doi.org/10.1007/BF01060083
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01060083