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Influence of collective nonideal shielding on fusion reaction in partially ionized classical nonideal plasmas

Myoung-Jae Lee

Young-Dae Jung*

  • Department of Physics, Hanyang University, Seoul 04763, South Korea and Research Institute for Natural Sciences, Hanyang University, Seoul 04763, South Korea

  • Department of Applied Physics and Department of Bionanotechnology, Hanyang University, Ansan, Kyunggi-Do 15588, South Korea and Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180-3590, USA

  • *ydjung@hanyang.ac.kr
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Phys. Rev. E 95, 043211 – Published 28 April, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.043211

Abstract

The collective nonideal effects on the nuclear fusion reaction process are investigated in partially ionized classical nonideal hydrogen plasmas. The effective pseudopotential model taking into account the collective and plasma shielding effects is applied to describe the interaction potential in nonideal plasmas. The analytic expressions of the Sommerfeld parameter, the fusion penetration factor, and the cross section for the nuclear fusion reaction in nonideal plasmas are obtained as functions of the nonideality parameter, Debye length, and relative kinetic energy. It is found that the Sommerfeld parameter is suppressed due to the influence of collective nonideal shielding. However, the collective nonideal shielding is found to enhance the fusion penetration factor in partially ionized classical nonideal plasmas. It is also found that the fusion penetration factors in nonideal plasmas represented by the pseudopotential model are always greater than those in ideal plasmas represented by the Debye-Hückel model. In addition, it is shown that the collective nonideal shielding effect on the fusion penetration factor decreases with an increase of the kinetic energy.

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Outline

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Phys. Rev. E 95, 043211– Published 28 April, 2017
  • Received 12 January 2017
  • Revised 28 March 2017

©2017 American Physical Society

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