The Chemistry Model of Ion-Ion Interaction Energy of Full Ionized Hydrogen Plasma

Abstract:

The ion-ion interaction contribution to the Helmholtz free energy is one of thermodynamic properties which discribing full ionized hydrogen plasma. Based quantum statistical theory and its simulation results to construct the free energy model of statistical mechanics, it is great significant to understand the properties of full ionized hydrogen plasma under high temperatures and pressures. Using Fortran program, we calculated the isotherms with some sensitive parameters, making comparison between our results and the formers. We find that former formula proposed by Chabrier appears variation at ultra-high temperatures ( > Κ ), implying a prominent limit of low temperature, while we developed a more reasonable formula of the ion-ion interaction contribution to the Helmholtz free energy. Analyses on isotherm curves indicate that the thermodynamic properties of the ion-ion interaction contribution to the Helmholtz free energy described by our approximant is very stable at all temperatures and pressures without any unphysical effects at low temperatures.

• Periodical: Advanced Materials Research (Volumes 989-994)
• Pages: 779-782
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.989-994.779
• Online since: July 2014
• Authors: Li Shuai Guo*, Xing Rong Zheng, Zhi Rong Wu
• Keywords: Chemistry Model, Hydrogen Plasma, Ion-Ion Interaction Energy

References

[1] Nellis W J, Ross M, Holmes N C, SCHience, 269（1995）1249.

[2] Ebeling W, Forster A, Fortov V E and Grynaznov V K, Thermophysical properties of hot dense plasmas, ed. B. G. Teuber VerlagsgesellSCHhaft Stuttgart Leipzig 1991 p.7.

[3] Stolzmann W and Blöcker T , Physics Letters A，221 (1996) 99-103.

[4] Stolzmann W and Blöcker T , Astron. Astrophys. ，361 (2000) 1152.

[5] Stolzmann W and Blöcker T , Astron. Astrophys. ，314 (1996) 1024-1040.

[6] Stolzmann W and Ebeling W , Physics Letters A，248 (1998) 242-246.

[7] G. Chabrier and A.Y. Potekhin, Phys. Rev. E 58 (1998) 4941-4949.

[8] G. Chabrier and A.Y. Potekhin, Phys. Rev. E 62 (2000) 8554-8563.

[9] G. Chabrier and J., Phys. (Pairs) 51 (1990) 1607.

[10] Ichimaru. S, Iyetomi. H, Tanaka. S, Phys. Rep 149(1987) 91-205.

[11] Ichimaru. S,. Rev. Mod. Phys. 54(1982) 1017.

[12] W. Ebeling and W. Richert Phys. stat. sol. (b), 128 (1990) 467.

[13] H. DeWitt, W. Slattery, and G. Chabrier, Physica B 228(1996), 158.

[14] H. E. DeWitt and W. Slattery, Contrib. Plasma Phys. 39(1999) 97.

[15] J. M. Caillol, J. Chem. Phys. 111(1999) 6538.