Study on Several Padé Approximants for Fully Ionized Hydrogen Plasmas

DOI

10.2991/icmsa-15.2015.17How to use a DOI?

Keywords

Hydrogen plasma, Fortran program, Ionization, Comparison, Padé approximants.

Abstract

Based on the current proposed three type Padé approximations of fully ionized hydrogen plasmas. Using Fortran program, we calculated the Helmholtz free energy of hydrogen plasmas and made a comparison of these Helmholtz free energy. It is concluded that the dimensionless parameter feec of W.Stolzmann’s theoretical analysis presents unphysical tendency within e>15 and rs<4, and fiec gives an unreasonable result within 8.0< e <9.1 and 7.0< rs <8.0 at low temperature T=5000K, but this range of the odd variation and the values of e (rs) will change with the increase of temperature, when the temperature reaches super-high temperature (T>107K), fiec almost is applicable to all range of the values of e and rs, feec is applicable to the values of 0< e<0.3 and rs >0. In addition, the dimensionless parameter fiic of Gilles Chabrier’s article and W.Stolzmann’s article have a good consistency. Finally, we presented a interpolational formula for hydrogen plasmas, making up for those small odd variation. It demonstrates that the interpolation formula for hydrogen plasmas has a practical application.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xing-Rong Zheng
AU  - Ji-Hong Li
AU  - Li-Huan Yang
AU  - Yang Li
PY  - 2014/06
DA  - 2014/06
TI  - Study on Several Padé Approximants for Fully Ionized Hydrogen Plasmas
BT  - Proceedings of the 2015 International Conference on Material Science and Applications
PB  - Atlantis Press
SP  - 89
EP  - 95
SN  - 2352-541X
UR  - https://doi.org/10.2991/icmsa-15.2015.17
DO  - 10.2991/icmsa-15.2015.17
ID  - Zheng2014/06
ER  -