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Preliminary Study of Uncertainty-Driven Plasma Diffusion II
| Title: | Preliminary Study of Uncertainty-Driven Plasma Diffusion II |
| Authors: | Oikawa, Shun-ichi Browse this author →KAKEN DB | | Shimazaki, Takahiro Browse this author | | Oiwa, Tsuyoshi Browse this author |
| Keywords: | anomalous diffusion | | uncertainty | | distribution function | | Coulomb potential | | magnetic length | | Schr¨odinger equation |
| Issue Date: | 2010 |
| Publisher: | Japan Society of Plasma Science and Nuclear Fusion Research |
| Journal Title: | Plasma and Fusion Research |
| Volume: | 5 |
| Issue: | S2025 |
| Start Page: | S2025-1 |
| End Page: | S2025-4 |
| Publisher DOI: | 10.1585/pfr.5.S2025 |
| Abstract: | 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 |
| Relation: | http://www.jspf.or.jp/PFR/index.html |
| Type: | article |
| URI: | http://hdl.handle.net/2115/48804 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 及川 俊一
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