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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2019 Volume 31, Number 11, Pages 79–88 (Mi mm4130)

The expansion of the dense plasma of a mixture of deuterium and tritium into the empty space in which there is a magnetic field

A. L. Rozov, G. L. Atoyan, A. G. Tyapko

State Polytechnic University, St. Petersburg

Abstract: The work is aimed at determining parameters of a deuterium-tritium mixture expanding into an external magnetic field, the output of thermonuclear energy from which compensates or exceeds the initial thermal energy of the plasma. This type of assessment is usually based on the Lawson criterion. In this paper, the parameters are determined on the basis of the model of adiabatic expansion into the surrounding homogeneous magnetic field of the plasma ball in the magnetohydrodynamic approximation for some special modes of expansion, providing a self-similar distribution of gas-dynamic quantities. The obtained minimum values of the energy expended on the initial heating of the plasma, at which its equality of the resulting integrated energy of synthesis is achieved, are compared with the estimates obtained in the framework of inertial thermonuclear fusion.

Keywords: thermonuclear energy, parameters of expanding plasma, magnetic field.

Received: 06.03.2019
Revised: 22.04.2019
Accepted: 25.05.2019

DOI: 10.1134/S0234087919110066


 English version:
Mathematical Models and Computer Simulations, 2020, 12:4, 613–619

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© Steklov Math. Inst. of RAS, 2026