An exponential gap relation for vibrational energy transfer in a dissipative medium

D. Charutz*, M. Berman, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The dynamic description of a collision in a medium is reformulated using an interaction picture. This transformation can be used both as a computational device and as a basis for analytical approximations. Numerical results for the problem of a collinear atom-oscillator collision including friction are generated as an example. An adiabaticity parameter is derived via a saddle point approximation and the exact numerical results are shown to scale exponentially with this parameter. In the adiabatic limit the gap law is exp (-π???L/ν) where L is the range of the potential and ??? is the renormalized oscillator frequency, which is always lower than that of the isolated molecule.

Original languageEnglish
Pages (from-to)495-501
Number of pages7
JournalChemical Physics Letters
Volume164
Issue number5
DOIs
StatePublished - 22 Dec 1989

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