Analytical representation of the thermonuclear reaction rate and fusion energy production in a spherical plasma shock wave

Details Analytical representation of the thermonuclear reaction rate and fusion energy production in a spherical plasma shock wave Analytical representation of the thermonuclear reaction rate and fusion energy production in a spherical plasma shock wave

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981plph...23..399h&link_type=abstract

Plasma Physics, vol. 23, May 1981, p. 399-411.

Physics

Plasma Physics

4

Controlled Fusion, Plasma Waves, Reaction Kinetics, Shock Waves, Spherical Waves, Thermonuclear Reactions, Deuterium Plasma, Hypergeometric Functions, Laser Fusion, Laser Plasmas, Maxwell-Boltzmann Density Function, Tritium, Velocity Distribution

Scientific paper

A closed-form representation of the nonresonant thermonuclear reaction rate is derived and used to compute the fusion energy released in a spherical plasma shock wave. The nonresonant nuclear cross sections for the low-energy reactions between light nuclei involved in controlled thermonuclear fusion and the distribution function of the relative energies of the reacting nuclei are given, and the closed-form representation of the parameter-dependent thermonuclear reaction rate integral is obtained in terms of a generalized hypergeometric function (Meijer's G-function). A model is then presented of the convergent spherical shock wave generated by uniform laser-induced pressure on the surface of a spherical pellet, and the fusion energy released in the plasma is computed by the integration of the thermonuclear reaction rate over temperature. The results of the approximation-free evaluation of this integral are compared with fusion energies calculated by approximation methods.

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