| Title |
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en
Preliminary Study of Uncertainty-Driven Plasma Diffusion II
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| Creator |
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| Accessrights |
open access |
| Subject |
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Other
en
anomalous diffusion
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Other
en
uncertainty
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Other
en
distribution function
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Other
en
Coulomb potential
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Other
en
magnetic length
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Other
ja
Schr¨odinger equation
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NDC
427
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| Description |
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Abstract
en
We have constructed a semiclassical collisional diffusion model. In this model, a field particle is treated as either a point charge or a spatially distributed charge. The test particle is treated as a distributed point charge with Gaussian distribution. It was shown that the collisional changes in velocity in our model is of the same order as the classical theory for a typical proton in a fusion plasma of T = 10 keV and n = 1020 m−3. It was also shown that the spatial extent of the distribution, or the quantum-mechanical uncertainty in position, for the test particle obtained in our model grows in time, and becomes of the order of the average interparticle separation Δ ≡ n−1/3 during a time interval τr ∼×107Δ /gth, where gth = √ 2T/m is the thermal speed, with m being the mass of the particle under consideration. The time interval is 3-4 order of magnitudes smaller than the collision time. This suggests that particle transport cannot be understood in the framework of classical mechanics, and that the quantum-mechanical distribution of individual particles in plasmas may cause the anomalous diffusion
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| Publisher |
en
Japan Society of Plasma Science and Nuclear Fusion Research
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| Date |
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| Language |
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| Resource Type |
journal article |
| Version Type |
VoR |
| Identifier |
HDL
http://hdl.handle.net/2115/48804
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| Relation |
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URI
http://www.jspf.or.jp/PFR/index.html
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isIdenticalTo
DOI
https://doi.org/10.1585/pfr.5.S2025
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| Journal |
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EISSN
1880-6821
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NCID
AA12346675
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en
Plasma and Fusion Research
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Volume Number5
Issue NumberS2025
Page StartS2025-1
Page EndS2025-4
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| File |
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| Oaidate |
2023-07-26 |
