Non-Equilibrium Ignition Criterion for p - 11 B Advanced Fuel in Magnetized Target Fusion
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HYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
Non-Equilibrium Ignition Criterion for p-11B Advanced Fuel in Magnetized Target Fusion Esmat Ghorbanpoura, Abbas Ghasemizada, *, and Soheil Khoshbinfara aDepartment
of Physics, Faculty of Science, University of Guilan, P.O. Box 41335-1914, Rasht, Iran *e-mail: [email protected] Received June 30, 2020; revised July 15, 2020; accepted July 17, 2020
Abstract—This paper investigates an analytical illustration of ignition conditions for the aneutronic reaction of proton-boron plasma in the presence of the magnetic field for fusion. In particular, the criterion for this plasma target is derived through two-temperature Lindl–Widner diagrams. Since the heating and cooling terms in the energy balance equation are affected by inequality between ions and electrons temperature combined with the impact of the magnetic field, the reduction of energy loss as well as the areal density parameter will increase the fusion rate. It will also relax the requirements of ignition conditions. Therefore, numerical derivations of ignition conditions at stagnation are performed involving the energy balance equation. The additional parameter applied other than electron and ion temperature as well as areal density is the magnetic field dependent B/ρ. It is shown that as B/ρ develops the required areal density decreases. For ions temperature of Ti < 1000 keV and electrons temperature of Te < 110 keV, the equation has real solutions for the areal density of ρR < 6 g/cm2. Furthermore, it is shown that the B/ρ parameter can be set at approximately 106 G cm3/g value. It shows the magnetic field has more effect than DT case and can reduce the driver requirements significantly. A comparison of this model with DT magnetized case shows that this model of p11B fuel is intermediate between experimental results of p11B non-magnetized and DT magnetized in the two-temperature model. Keywords: magnetized plasma, inertial fusion, two-temperature model, advanced fuels DOI: 10.1134/S1547477120060126
1. INTRODUCTION Magnetized target fusion (MTF) is recognized as an approach intermediate between inertial confinement fusion (ICF) and magnetic confinement fusion (MCF) [1, 2]. The first idea of MTF dates back to 1945 which a report was stated from Los Alamos lab about the effect of imposing a strong magnetic field on the reduction of thermal conduction losses [3]. It was first introduced by Lindemuth as a method to utilize a compressed magnetized plasma to reach thermonuclear fusion [4]. MTF has been proposed both with laser and ion drivers which were initiated in Russia as MAGO (MAGnitnoye Obzhatiye, or magnetic compression) and the USA as MTF [4]. MTF is ICF with the entrance of the seed magnetic field mainly with DT fuel. The seed magnetic field will achieve gain in a region of velocity-density much lower than classical ICF and hence diminishing driver requirements [5]. In other words, it helps to suppress the heat conduction loss and reduce the ρR value for ignition as well [6]. The applied magnetic f
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