Preliminary Study of Uncertainty-Driven Plasma Diffusion

概要

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Quantum mechanical plasma diffusion is studied using a semi-classical model with two different characteristiclengths; one is the average interparticle separation, and the other is the magnetic length. The diffusioncoefficients D derived in this study show a dependence on several plasma parameters, such as temperature T,mass m, density n, and magnetic field B, similar to that observed experimentally. The numerical values of thediffusion coefficient D in this study are as large as that for neoclassical diffusion. We have pointed out in thisstudy that (i) for distant encounters in typical fusion plasmas of T = 10 keV and n = 1020 m−3, the averagepotential energy U ∼ 30meV is as small as the uncertainty in energy ΔE ∼ 40meV, and (ii) for a magneticfield B = 3 T, the spatial size of the wavefunction in the plane perpendicular to the magnetic field is as large as B ∼ 1.4 × 10−8 m, which is much larger than the typical electron wavelength λe ∼ 10−11 m.
Japan Society of Plasma Science and Nuclear Fusion Researchの論文