THERMODYNAMIC PROPERTIES OF  PARTIALLY IONIZED HYDROGEN PLASMA

Maratbek Gabdullin; Tlekkabul Ramazanov; Tomiris Ismagambetova; Ainur Karimova

doi:10.12955/cbup.v4.860

Maratbek Gabdullin NNLOT, al-Farabi Kazakh National University, Almaty
Tlekkabul Ramazanov Doctor of Physical and Mathematical Sciences, ITEP, al-Farabi Kazakh National University, Almaty,
Tomiris Ismagambetova ITEP, al-Farabi Kazakh National University, Almaty
Ainur Karimova al-Farabi Kazakh National University, Almaty

DOI: https://doi.org/10.12955/cbup.v4.860

Keywords: plasma, potential, structural, thermodynamic

Abstract

This paper considers dense partially ionized hydrogen plasma. The model of interaction between particles was used to study properties of plasma. Interaction potentials were obtained through the dielectric response function method. Effective potentials, taking into account the screening effects at large distances and the quantum-mechanical diffraction effect at small distances, were used to model the interaction between particles. Another effective screening potential was chosen to describe the charge interaction with neutral atoms. This potential takes into account the interaction between free charge and atomic nucleus with centrally symmetric distribution of the electron density. The degree of ionization was calculated through solving the system of Saha equations. Pair correlation functions were studied in the exponential approximation. Thermodynamic properties for hydrogen plasma were calculated using the effective potentials and obtained on their base pair correlation functions. Internal energy and equation of state of partially ionized hydrogen plasma were compared with the results from previous research. The results indicated that the difference observed with high values of parameters was due to increase in the concentration of atoms.

References

Ebeling, W., Kraeft, W. D., & Kremp, D. (1976). Theory of bound states and ionization equilibrium. Berlin, Akademie-Verlag.

Ebeling, W., Norman, G. E., Valuev, A. A., & Valuev, I. A. (1999). Quasiclassical theory and molecular dynamics of two-component nonideal plasmas. Contrib. Plasma Phys., 39, 61.

Ecker, G. (1972). Theory of fully ionized plasmas. New York.

Filinov, V. S., Bonitz, M., Kremp, D., Kraeft, W. D., Ebeling, W., Levashov, P. R., & Fortov, V. E. (2001). Path integral simulations of the thermodynamic properties of quantum dense plasma. Contrib. Plasma Phys., 41, 135.

French, M., Becker, A., Lorenzen, W., Nettelmann, N., Bethkenhagen, M., Wicht, J., & Redmer, R. (2012). Ab initio simulations for the material properties along Jupiter's adiabat. Astrophys.J. Suppl. S., 202, 5.

Fortov, V. E., & Iakubov, I. T. (1999). Physics of Nonideal Plasmas. World. Sci. Publ., London.

Gabdullin, M. T., Ramazanov, T. S., Muratov, M. M., Ismagambetova, T. N., Akhtanova, G. B., & Goree, J. A. (2015). Structural characteristics and equation of state of the complex plasmas. Contrib. Plasma Phys., 55(5), 366–372.

Goldberger, M., & Watson, K. (1967). Theoryof collisions. Moscow.

Knaup, M., Reinhard, P. G., & Toepffer, C. (2001). Wave packet molecular dynamics simulations of deuterium in the region of laser shock-wave experiments. Contrib. Plasma Phys., 41, 159.

Kraeft, W. D., Kremp, D., Ebeling, W., & Röpke, G. (1986). Quantum statistics of charged particle systems. Berlin, Akademie-Verlag.

Militzer, B., & Ceperley, D. M. (2000). Path integral Monte-Carlo calculations of the deuterium hugoniout. Phys. Rev. Lett., 85, 1890.

Militzer, B., & Ceperley, D. M. (2001). Path integral Monte-Carlo simulations of the low-density hydrogen plasmas. Phys. Rev. E, 63, 066404.

Pines, D., & Nozieres, Ph. (1966). The Theory of Quantum Liquids. New York.

Ramazanov, T. S., & Dzhumagulova, K. N. (2002). Effective screened potentials of strongly coupled semiclassical plasma. Phys. Plasmas, 9 (9), 3758-3761.

Ramazanov, T. S., Dzhumagulova, K N., & Gabdullin, M. T. (2010). Effective potentials for ion-ion and charge-atom interactions of dense semiclassical plasma. Phys. Plasmas., 17 (4), 042703.

Ramazanov, T. S., Moldabekov, Zh. A., Gabdullin, M. T., & Ismagambetova, T. N. (2014). Interaction potentials and thermodynamic properties of two component semiclassical plasma. Phys. Plasmas, 21, 012706.

Ramazanov, T. S., Moldabekov, Zh. A., & Gabdullin, M. T. (2015). Effective potentials of interactions and thermodynamic properties of a nonideal two-temperature dense plasma. Phys. Rev. E, 92, 023104.

Tanaka, S., & Ichimaru, S. (1985). Parametrized equation of state for dense hydrogenetic plasma. Phys. Rev. A, 32, 3756.