DOI: 10.1063/1.452125. Vibrational relaxation in fluids: A many body scattering formalism

Vibrational relaxation in fluids: A many body scattering formalism

10.1063/1.452125

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We derive an expression for the vibrational energy relaxation rate constant for dilute diatomic molecules in a structureless fluid. Our approach is based on a many-body scattering formalism within the Markov approximation. Using a quantum scattering formalism allows us to formally separate the inelastic part of the problem from the bath dynamics. We assume that the vibrational transition rate is small, and accordingly we treat the inelastic potential as a perturbation. Also, we assume that the translational motion of the diatom and the bath can be treated classically. The separation of the inelastic interaction from the bath dynamics allows the bath motion to be written in terms of a classical time correlation function of the bath density relative to the diatom. The bath, though, evolves under two Hamiltonians; one with the diatom in its initial state and the other with the diatom in its final state. A method is introduced to approximate this time correlation function in terms of single Hamiltonian correlation functions. We discuss the approximations inherent in our method and also those in the independent binary collision (IBC) model.

Bibliography

Dardi, P. S., & Cukier, R. I. (1987). Vibrational relaxation in fluids: A many body scattering formalism. The Journal of Chemical Physics, 86(4), 2264â2275.

Authors 2

Peter S. Dardi (first)
R. I. Cukier (additional)

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Dates

Type	When
Created	23 years ago (July 26, 2002, 9:20 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 12:59 a.m.)
Indexed	1 year, 6 months ago (Feb. 11, 2024, 7:59 a.m.)
Issued	38 years, 6 months ago (Feb. 15, 1987)
Published	38 years, 6 months ago (Feb. 15, 1987)
Published Print	38 years, 6 months ago (Feb. 15, 1987)

Funders 0

None

BibTeX

@article{Dardi_1987, title={Vibrational relaxation in fluids: A many body scattering formalism}, volume={86}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.452125}, DOI={10.1063/1.452125}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Dardi, Peter S. and Cukier, R. I.}, year={1987}, month=feb, pages={2264–2275} }

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