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The former is initialized in the velocity space, and the latter is in the configuration space. Extensive numerical analyses are performed in the two dimensional parameter space (s_b/s_bc,nu/nu_t), where s_b and nu are the strength of a magnetic field perturbation and the collision (deflection) frequency, respectively. The normalization parameter s_bc corresponds to the islands overlapping criterion, and nu_t is the characteristic frequency of the passing particle orbits in the corresponding regular magnetic field. In the absence of the Coulomb collision, as s_b/s_bc(geq 1) increases, the magnetic field stochasticity or the particle radial diffusion with only parallel drift motion comes to appear as a uniform mixing process reflecting the non-locality of orbits in a radially bounded stochastic region, which is a non-diffusive, uniform, statistically stationary, and Markov process after the exponentially fast relaxation of correlations. The Coulomb collisions interrupt the fast non-local radial displacement of particles along the stochastic magnetic field lines, however, the radial displacement is still non-local, so that the particle radial diffusion develops as a strange diffusive process in the long time limit: subdiffusive, neither uniform nor Gaussian, and statistically non-stationary process, in almost all (s_b/s_bc,nu/nu_t)parameter space. When the collisions are fairly frequent (nu/nu_gg1) and uniformity of the magnetic field stochasticity is fairly lost (s_b/s_bc geq 1), the locality of the particle motion is recovered, leading to a Wiener process with normal diffusivity, Gaussianity, statistical non-stationarity, and Markovianity, as well as the neoclassical diffusion in the regular magnetic field. 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Statistical Properties of the Particle Radial Diffusion in a Radially Bounded Irregular Magnetic Field
http://hdl.handle.net/10655/2982
http://hdl.handle.net/10655/29820c1bdcb1-d387-4dcb-a247-646ec8e5d73d
Item type | 研究報告書 / Research Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2010-02-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Statistical Properties of the Particle Radial Diffusion in a Radially Bounded Irregular Magnetic Field | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | statistical properties | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | radial particle diffusion | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | radially bounded irregular magnetic field | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Wiener process | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | uniform mixing process | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | strange diffusive process | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
"Maluckov, A.
× "Maluckov, A.× Nakajima, N.× Okamoto, M.× Murakami, S.× Kanno, R." |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | "Statistical properties of the particle radial diffusion are clarified in the various types of the radially bounded irregular magnetic field inside a torus plasma, where the collisional (statistical) stochasticity due to the Coulomb collision and the magnetic (deterministic) stochasticity due to a radially bounded perturbed field coexist. The former is initialized in the velocity space, and the latter is in the configuration space. Extensive numerical analyses are performed in the two dimensional parameter space (s_b/s_bc,nu/nu_t), where s_b and nu are the strength of a magnetic field perturbation and the collision (deflection) frequency, respectively. The normalization parameter s_bc corresponds to the islands overlapping criterion, and nu_t is the characteristic frequency of the passing particle orbits in the corresponding regular magnetic field. In the absence of the Coulomb collision, as s_b/s_bc(geq 1) increases, the magnetic field stochasticity or the particle radial diffusion with only parallel drift motion comes to appear as a uniform mixing process reflecting the non-locality of orbits in a radially bounded stochastic region, which is a non-diffusive, uniform, statistically stationary, and Markov process after the exponentially fast relaxation of correlations. The Coulomb collisions interrupt the fast non-local radial displacement of particles along the stochastic magnetic field lines, however, the radial displacement is still non-local, so that the particle radial diffusion develops as a strange diffusive process in the long time limit: subdiffusive, neither uniform nor Gaussian, and statistically non-stationary process, in almost all (s_b/s_bc,nu/nu_t)parameter space. When the collisions are fairly frequent (nu/nu_gg1) and uniformity of the magnetic field stochasticity is fairly lost (s_b/s_bc geq 1), the locality of the particle motion is recovered, leading to a Wiener process with normal diffusivity, Gaussianity, statistical non-stationarity, and Markovianity, as well as the neoclassical diffusion in the regular magnetic field. Non-locality of particle orbits due to magnetic stochasticity produces the various types of diffusion process under the influence of the Coulomb collisions." | |||||
書誌情報 |
en : Research Report NIFS-Series 発行日 2001-10-01 |
|||||
報告書番号 | ||||||
NIFS-715 | ||||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0915-633X |