Vibrational Relaxation in Gases—Some Constraints on the Use of Master Equations
- 1 January 1972
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 56 (1), 86-94
- https://doi.org/10.1063/1.1676943
Abstract
The master equation for vibrational relaxation of diatomic dilute gases is derived. The derivation begins with the quantum Liouville equation and uses projection operator techniques; it can be extended to dense fluids under certain conditions. A careful discussion of the master equation's range of validity reveals restrictions on the experimental initial conditions and the relevant scattering cross sections.Keywords
This publication has 15 references indexed in Scilit:
- Derivation of a Master Equation for the Relaxation of Internal Degrees of FreedomThe Journal of Chemical Physics, 1970
- Comments on Kinetic Equation for Autocorrelation FunctionsJournal of Mathematical Physics, 1969
- Theory of vibrational energy transfer between simple molecules in nonreactive collisionsChemical Reviews, 1969
- Rotational relaxation in mixtures of hydrogen isotopes and noble gases: Part I. Mixtures with parahydrogenPhysica, 1968
- On the theory of spin-spin relaxationPhysica, 1966
- On the derivation of the Boltzmann equationPhysica, 1966
- Theoretical Studies of Hot-Atom Reactions. I. General FormulationThe Journal of Chemical Physics, 1966
- Exact Conditions for the Preservation of a Canonical Distribution in Markovian Relaxation ProcessesJournal of Mathematical Physics, 1964
- The approach to equilibrium in quantum statistics: A perturbation treatment to general orderPhysica, 1957
- The Statistical Mechanical Theory of Transport Processes I. General TheoryThe Journal of Chemical Physics, 1946