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Title
Japanese: 
English:Discussion on Collisional Radiative Model from the Viewpoint of Linear Ordinary Differential Equations 
Author
Japanese: 赤塚 洋.  
English: Hiroshi Akatsuka.  
Language English 
Journal/Book name
Japanese: 
English:JPS Conference Proceedings 
Volume, Number, Page Vol. 1       
Published date Mar. 20, 2014 
Publisher
Japanese:日本物理学会 
English:The Physical Spciety of Japan 
Conference name
Japanese: 
English:The 12th Asia Pacific Physics Conference (APPC12) 
Conference site
Japanese:千葉 
English:Chiba 
Official URL http://journals.jps.jp/doi/abs/10.7566/JPSCP.1.015016
 
DOI https://doi.org/10.7566/JPSCP.1.015016
Abstract We examine a general solution to the associated linear homogeneous ordinary differential equations of the collisional radiative model, and survey the behavior of eigenvalues of the characteristic matrix. It is proved that the real part of each eigenvalue is negative with the help of the Gershgorin’s theorem. Consequently, the differential equations describing the CR model are exponentially stable. We also examine absolute values of the real part of eigenvalues for the argon CR model. Dependence of real part of the eigenvalue to determine the relaxation time is examined with respect to electron temperature and density for argon plasma with its electron temperature 0.1−10eV, electron density 109−1014cm−3, and discharge pressure 1−760Torr, including the effect of atomic collisional quenching.

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