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Numerical Analysis of Quantum Mechanical ∇B Drift
| Title: | Numerical Analysis of Quantum Mechanical ∇B Drift |
| Authors: | Oikawa, Shun-ichi Browse this author →KAKEN DB | | Shimazaki, Takahiro Browse this author | | Okubo, Emi Browse this author |
| Keywords: | grad-B drift | | magnetic length | | Landau state | | quantum mechanical scattering | | plasma | | diffusion | | expansion time |
| Issue Date: | Jul-2011 |
| Publisher: | The Japan Society of Plasma Science and Nuclear Fusion Research |
| Journal Title: | Plasma and Fusion Research |
| Volume: | 6 |
| Issue: | Special Issue 1 |
| Start Page: | 2401058-1 |
| End Page: | 2401058-4 |
| Publisher DOI: | 10.1585/pfr.6.2401058 |
| Abstract: | We have solved the two-dimensional time-dependent Schr¨odinger equation for a single particle in the presence of a nonuniform magnetic field for initial speeds of 10-100 m/s. By linear extrapolation, it is shown that the variance, or the uncertainty, in position would reach the square of the interparticle separation n−2/3 with a number density of n = 1020 m−3 in a time interval of the order of 10−4 sec. After this time the wavefunctions of neighboring particles would overlap, as a result the conventional classical analysis may lose its validity: Plasmas may behave more-or-less like extremely-low-density liquids, not gases, since the size of each particle is of the same order of the interparticle separation. |
| Description: | This article is based on the presentation at the 20th International Toki
Conference (ITC20) |
| Relation: | http://www.jspf.or.jp/PFR/index.html |
| Type: | article |
| URI: | http://hdl.handle.net/2115/48993 |
| 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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