In this study, the properties of ion-and positron-acoustic solitons are investigated in a magnetized multi-component plasma system consisting of warm fluid ions, warm fluid positrons, q-non-extensive distributed positrons, q-non-extensive distributed electrons, and immobile dust particles. To drive the Korteweg-de Vries (KdV) equation, the reductive perturbation method is used. The effects of the ratio of the density of positrons to ions, the temperature of the positrons, and ions to electrons, the non-extensivity parameters q e and q p , and the angle of the propagation of the wave with the magnetic field on the potential of ion-and positron-acoustic solitons are also studied. The present investigation is applicable to solitons in fusion plasmas in the edge of tokamak.
The nuclear reaction of deuterium-tritium (D-T) fusion by the usual magnetic or inertial confinement suffers from a number of difficulties and problems caused by tritium handling, neutron damage to materials and neutroninduced radioactivity, etc. The study of the nuclear synthesis reaction of deuterium-helium-3 (D-3 He) at low collision energies (below 1 keV) is of interest for its applications in nuclear physics and astrophysics. Spherical tokamak (ST) reactors have a low aspect ratio and can confine plasma with β≈1. These capabilities of ST reactors are due to the use of the alternative D-3 He reaction. In this work, the burn condition of D-3 He reaction was calculated by using zerodimensional particles and power equations, and, with the use of the parameters of the ST reactor, the stability limit of D-3 He reaction was calculated and then the results were compared with those of D-T reaction. The obtained results show that the burn conditions of D-3 He reaction required a higher temperature and had a much more limited temperature range in comparison to those of D-T reaction.
The consideration of the three main nuclear reactions of the hydrogen isotopes ( D(D, n) 3 He , D(D, p)T and T(D, n) 4 He ) only leads to wrong results for determination of plasma parameters in magnetic confinement fusion reactors. The nuclear reaction 3 He(D, p) 4 He influences the amount of produced tritium since it makes an important contribution to the charged particle energy deposition and to the temperatures. In this paper, we have considered different nuclear reactions of Deuterium–Tritium (D–T) fusion in tokamak reactor. This study has been carried out on the base of the particle and power balance equations in a zero-dimensional model then plasma parameters have been calculated. Finally, the obtained results have been compared with the theoretical results reported by other researchers.
We present analytically the exact solution of the radial Schrödinger equation with the pseudoharmonic oscillator potential in constant positive curvature representation. Exact bound state eigenfunctions and eigenvalues obtained using factorization method. Finally, energy eigenvalues obtained here compared with the results of the theoretical methods in the limit of flat space.
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