Preliminary Study of Uncertainty-Driven Plasma Diffusion
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Quantum mechanical plasma diffusion is studied using a semi-classical model with two different characteristic lengths; one is the average interparticle separation, and the other is the magnetic length. The diffusion coefficients 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 the diffusion coefficient D in this study are as large as that for neoclassical diffusion. We have pointed out in this study that (i) for distant encounters in typical fusion plasmas of T = 10 keV and n = 10<sup>20</sup> m<sup>−3</sup>, the average potential energy 〈U〉 ∼ 30 meV is as small as the uncertainty in energy ΔE ∼ 40 meV, and (ii) for a magnetic field B = 3 T, the spatial size of the wavefunction in the plane perpendicular to the magnetic field is as large as l<sub>B</sub> ∼ 1.4 × 10<sup>−8</sup>m, which is much larger than the typical electron wavelength λ<sub>e</sub> ∼ 10<sup>−11</sup>m.
- Plasma and Fusion Research
Plasma and Fusion Research (5), S1050-S1050, 2010
Japan Society of Plasma Science and Nuclear Fusion Research