Electron-Vibrational Energy Exchange in Nitrogen-Containing Plasma: a Comparison Between an Analytical Approach and a Kinetic Model

YANG Wei (杨薇); DONG Zhiwei (董志伟)

doi:10.1088/1009-0630/18/1/03

Plasma Science and Technology > 2016 > 18(1): 12-16. > DOI: 10.1088/1009-0630/18/1/03

YANG Wei (杨薇), DONG Zhiwei (董志伟). Electron-Vibrational Energy Exchange in Nitrogen-Containing Plasma: a Comparison Between an Analytical Approach and a Kinetic Model[J]. Plasma Science and Technology, 2016, 18(1): 12-16. DOI: 10.1088/1009-0630/18/1/03

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Electron-Vibrational Energy Exchange in Nitrogen-Containing Plasma: a Comparison Between an Analytical Approach and a Kinetic Model

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Funds: supported by National Natural Science Foundation of China (No. 11505015) and the National High-Tech Research and Development Program of China (863 Program)

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Received Date: August 30, 2015

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Abstract

Abstract

This paper investigates the electron-vibrational (e-V) energy exchange in nitrogen-containing plasma, which is very efficient in the case of gas discharge and high speed flow. Based on Harmonic oscillator approximation and the assumption of the e-V relaxation through a continuous series of Boltzmann distributions over the vibrational states, an analytic approach is derived from the proposed scaling relation of e-V transition rates. A full kinetic model is then investigated by numerically solving the state-to-state master equation for all vibrational levels. The analytical approach leads to a Landau-Teller (LT)-type equation for relaxation of vibrational energy, and predicts the relaxation time on the right order of magnitude. By comparison with the kinetic model, the LT-type equation is valid in typical electron temperatures in gas discharge. However, the analytical approach is not capable of describing the vibrational distribution function during the e-V process in which a full kinetic model is required.
- electron-vibrational process,
- vibrational energy,
- relaxation time,
- vibrational distribution function

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References

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