Authors
Abstract
In this paper, considering the plasma electronic exchange intraction effects, first, Thomas–Fermi equation has been solved numerically. Then, employing the results of these equations, the amount of exchange corrections for pressure and internal energy of the plasma (electron gas with specific atomic number) has been calculated based on variation of plasma density and temperature. The results of the calculations can be used in both quantitative and qualitative description of changing the phase of matter in high temperature and density, encountered with in theoretical and experimental studies of inertial fusion and astro physical phenomena as well.
Keywords
2. S X Hu et al., Phys. Rev. Lett. 100 (2008) 185003.
3. T Guillot, Annu. Rev. Earth Planet Sci. 33 (2005) 493.
4. J J Fortney et al., Phys. Plasmas 16 (2009) 041003.
5. P Dufour et al., Nature 450 (2007) 522.
6. J D Lindl et al., Phys. Plasmas 11 (2004) 339.
7. S X Hu et al., Phys. Rev. Lett. 104 (2010) 235003.
9. R M More in, “Laser Plasma Interactions”, Proceedings of the 29th Scottish Universities Summer School in Physics, edited by M. B.Hooper, Camelot, Southampton (1986).
10. B Ya Zel’dovich and Yu P Raizer, “Physics of Shock Waves and High Temperature Hydrodynamics Phenomena”, Academic Press, New York (1966).
11. A F Nikiforov, V G Novikov, and V B Uvarov, “Quantum Statistical Models of Hot Dense Matter”, Birkhauser Verlag, Basel, Switzerland (2005).
12. B F Rozsnyai, Phys. Rev. A 53 (1972) 1137.
13. N N Kalitkin and L V Kuzmina, “Tables of Thermodynamic Functions of Matter at High Energy Densities”, Keldysh Institute of Applied Mathematics Russian Academy of Sciences, Moscow (1975).
14. D A.Kirzhnits, Soviet Journal of Experimental and Theoretical Physics 8, 6 (1959) 1081.
15. S K Godunov, and V S Ryabenkii, “The Theory of Difference Schemes – An Introduction to the Underlying Theory”, NorthHolland, Amsterdam (1987).
16. A A Samarskii, and A V Gulin, “Numerical Methods”, Nauka, Moscow (1989).