MODELING OF THERMODYNAMICS OF BUBBLE THERMONUCLEAR FUSION

Abstract

The article develops a model of bubble thermonuclear fusion (BTF) based on the Van der Waals equations for controlling BTF. Thermodynamic quantities p, V, and T allow for the investigation of processes in BTF as a system with concentrated parameters. The growth of negative pressure p reflects on V in such a way that the spiral winds along the Dini surface in Lobachevsky geometry. For this, a lemma and theorems are formulated and proven, and conditions are found under which oscillations depend on the discriminant temperature. This precedes BTF at a resonance frequency of 20 kHz in D-acetone C3D6O at the melting temperature of ice, as 0º C is within the ignition limits of acetone (−20º C; 6º C). The discriminant temperature equals the upper limit, thus causing bubble oscillations at 20 kHz. Under such conditions, the light particles of acetone C3H6O scatter to the edge of the medium, but C3D6O particles group in the center. In them, the thermonuclear reaction of tritium formation from deuterium under the action of 14 MeV neutrons is initiated. As a result, oscillations and a limit cycle in BTF are identified, where processes are modeled by a system of two equations corresponding to the Van der Waals equation in the II and IV quadrants.