Stimulated recombination - A stochastic approach

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Photoionization, Planetary Atmospheres, Radiative Recombination, Stellar Atmospheres, Stochastic Processes, Macroscopic Equations, Numerical Stability, Photodissociation, Statistical Mechanics, Stimulated Emission, Photon Interactions With Atoms, Other Topics In Atomic And Molecular Collision Processes And Interactions

Scientific paper

The problem of stimulated recombination (atomic or molecular) and photoionization (or photodissociation) is studied from a stochastic viewpoint for an isolated system. The master equation is set up, and the assumptions necessary for its derivation are explained. A rate equation is derived along with the Fokker-Planck equation. Steady-state solutions and multiple stationary states are obtained. Straightforward stability analysis is used to individuate a single stable stationary state. It is found that an increase of photons is possible for such systems. The question of fluctuations is addressed, by making a Taylor expansion about the stable stationary state and obtaining the relaxation time near this state along with the autocorrelation function. The rate equation is studied, as is the possibility of calculating fluctuations using equations for the first and second moments.

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