Approximate analytical description of the vibrational relaxation of weakly anharmonic oscillators
Abstract
The single-quantum approximation is used to obtain analytical solutions of the problem of vibrational relaxation (VR) in a system of weakly anharmonic oscillators (WAO) in a non-Boltzmann thermostat for an arbitrary form of the rate constants under the assumption that the relationship between two neighboring populations is a function that depends smoothly on the level number. Solutions are obtained for the VR of a small WAO impurity in a rare gas; the VR of a small WAO impurity in a rare gas in the presence of a positive monoenergetic source of vibrationally excited molecules; and the VR in a binary WAO mixture. A closed-form equation for the description of the relaxation of vibrational energy in the case of a small WAO impurity in a rare gas is obtained, taking into account the anharmonism of the molecular spectrum and the non-Boltzmann character of the distribution function.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- October 1984
- Bibcode:
- 1984PMTF........16V
- Keywords:
-
- Diatomic Molecules;
- Molecular Relaxation;
- Rare Gases;
- Relaxation Oscillators;
- Binary Mixtures;
- Impurities;
- Molecular Gases;
- Quantum Mechanics;
- Relaxation Time;
- Thermostats;
- Atomic and Molecular Physics