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A far-wing line shape theory which satisfies the detailed balance principleA far-wing theory in which the validity of the detailed balance principle is maintained in each step of the derivation is presented. The role of the total density matrix including the initial correlations is analyzed rigorously. By factoring out the rapidly varying terms in the complex-time development operator in the interaction representation, better approximate expressions can be obtained. As a result, the spectral density can be expressed in terms of the line-coupling functions in which two coupled lines are arranged symmetrically and whose frequency detunings are omega - 1/2(omega(sub ji) + omega (sub j'i'). Using the approximate values omega - omega(sub ji) results in expressions that do not satisfy the detailed balance principle. However, this principle remains satisfied for the symmetrized spectral density in which not only the coupled lines are arranged symmetrically, but also the initial and final states belonging to the same lines are arranged symmetrically as well.
Document ID
19960000804
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Ma, Q. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Tipping, R. H. (Alabama Univ. Tuscaloosa, AL., United States)
Hartmann, J.-M. (Paris-Sud Univ. Orsay, France)
Boulet, C. (Paris-Sud Univ. Orsay, France)
Date Acquired
September 6, 2013
Publication Date
January 1, 1995
Subject Category
Aerodynamics
Report/Patent Number
NAS 1.15:111075
NASA-TM-111075
Accession Number
96N10804
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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