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FORMULATION OF THE MASTER EQUATION
STEADY STATE SOLUTION FOR THE ANHARMONIC
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Aerodynamic ANHARMONIC EFFECT Boltzmann Boltzmann-like distribution characteristic temperature CORNELL AERONAUTICAL CORNELL UNIVERSITY LIBRARY density and vibrational diatomic gas diatomic gases diatomic molecules different but related different gases differential equation distribution becomes distribution defined DISTRIBUTION DURING RELAXATION distribution given energy during relaxation energy levels energy spacings equation for vibrational exchange collisions exchange of vibrational exchange terms EXCHANGE-DOMINATED RELAXATION final vibrational function gas is taken given by Eq lision master equation mixture of gases MOLECULAR VIBRATIONAL ENERGY noble gas non-Boltzmann number density number of vibrational obtained place of Eq relation is shown relaxation of anharmonic relaxation process relaxing gas restriction given series of Boltzmann-like shown graphically simple harmonic oscillator solution Stanford University STATISTICAL MECHANICAL APPROACH steady-state distribution terms in Eq tional total molecular total number transition probabilities translation energy translational temperature vibrational energy distribution vibrational energy exchange vibrational exchange vibrational levels vibrational quantum number vibrational relaxation vibrational temperature