Theoretical Research on Super Neoclassical Transport and Global Transport

超新古典输运与全球输运理论研究

• 批准号: 10680479
• 负责人: OKAMOTO Masao
• 金额: $ 1.22万
• 依托单位: Natiomal Institute for Fusion Science
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10680479/
• 关键词: torus plasma; super neoclassical transport; global transport; Delta-f method; coulomb collision; weighting scheme; potato particle; non-local transport; 新古典輸送; シミュレーション; モンテカルロ法; 分散低減法; 非局所的拡散; ガウス性; マルコフ性; ウィーナー過程; δf法; イオン熱拡散係数; 平行電流 /

Super neoclassical transport, which does not belong to the standard neoclassical transport, and related global transport are studied. Main results are as follows ; (1) A d f Monte Carlo simulation code to study neoclassical transport including finite banana orbit width effects "FORTEC" has been completed. In "FORTEC", a new method of two weighting has been proposed. Secondly, a new precise collision model to conserve momentum and energy has been considered. Thirdly, the radial electric field can be calculated so as to vanish the ion-ion collision induced particle flux. The effects of finite orbits of trapped particles are exactly included in "FORTEC" and hence it can simulate global transport. Many fruitful results have been obtained for transport near the magnetic axis, transport with steep density gradient, and associated radial electric field. (2) A Lagrangian formulation using constants of motion has been completed for analytical study of transport near the axis In which particle orbits are completely different from standard ones. The Lagrangian formulation Includes the non-locality of transport. The analytical results agree well with those of simulations. (3) Global transport has been studied in the plasma with perturbed magnetic fields. In the presence of magnetic islands and their overlapping, cumulant and auto-correlation are calculated. It is found that in almost all cases the radial diffusions are non-uniform, non-Gaussian, non-stationally, non-Markovian, and sub-diffusive. This means that transport is non-local or global in the presence of small magnetic perturbations.

研究了不属于标准新古典输运的超新古典输运以及相关的全球输运。主要结果如下：（1）完成了一个研究新经典输运的包含有限香蕉轨道宽度效应的d-f Monte Carlo模拟程序FORTEC。在“FORTEC”中，提出了一种新的两次加权方法。其次，考虑了一种新的动量和能量守恒的精确碰撞模型。第三，可以计算径向电场，以消除离子-离子碰撞引起的粒子通量。FORTEC模型准确地考虑了被困粒子的有限轨道效应，因而能够模拟全球输运。在磁轴附近的输运、陡密度梯度输运以及伴随的径向电场等方面取得了许多丰硕的成果。(2)本文用拉格朗日方程的运动常数来分析研究轴附近的输运问题，其中粒子的轨道与标准轨道完全不同。拉格朗日公式包括输运的非定域性。分析结果与模拟结果吻合较好。(3)本文研究了扰动磁场下等离子体的整体输运。在磁岛及其重叠的情况下，计算了累积量和自相关。研究发现，在几乎所有的情况下，径向扩散是非均匀的，非高斯的，非平稳的，非马尔可夫，和次扩散。这意味着在存在小的磁扰动的情况下，输运是非局部的或全局的。

项目成果

S. Murakami, et al.: "5D Simulation Study of Suprathermal Election Transport in Non-Axisymmetric Plasmas"Fusion Energy (17th IAEA Conference). 4. 1383-1390 (1998)

S. Murakami 等人：“非轴对称等离子体超热电子输运的 5D 模拟研究”聚变能（第 17 届国际原子能机构会议）。

岡本正雄他: "ヘリカル系磁場配位の新概念" Journal of Plasma and Fusion Research. 74・10. 1107-1117 (1998)

Masao Okamoto 等：“螺旋系统磁场协调的新概念”等离子体与聚变研究杂志 74・10（1998）。

M.Okamoto, M.Yokoyama, N.Nakajiina, S.Murakami, R.Kanno, R.ishizaki: "Physics Issues in the LHD Plasmas"Plasma Physics and Conrolled Fusion. 41. A267-A272 (1999)

M.Okamoto、M.Yokoyama、N.Nakajiina、S.Murakami、R.Kanno、R.ishizaki：“LHD 等离子体中的物理问题”等离子体物理和受控聚变。

岡本正雄, 高丸尚教, 中島徳嘉, 村上定義, 冨田幸博, 菅野龍太郎, 佐竹真介: "核融合プラズマのモンテカルロ・シミュレーション"「モンテカルロ法による粒子シミュレーションの現状と課題」日本原子力学会編. 90-114 (2002)

Masao Okamoto、Naonori Takamaru、Tokuyoshi Nakajima、Definition Murakami、Yukihiro Tomita、Ryutaro Kanno、Shinsuke Satake：“聚变等离子体的蒙特卡罗模拟”“使用蒙特卡罗方法进行粒子模拟的现状和问题”日本原子能协会编辑. 90-114 (2002)

S.Satake,H.Sugama,M.Okamoto,M.Wakatani: "Classification of Particle Orbits near the Magnetic Axis in a Tokamak by Using Constants of Motion"Research Report NIFS Series. NIFS-677. (2001)

S.Satake、H.Sugama、M.Okamoto、M.Wakatani：“利用运动常数对托卡马克中磁轴附近的粒子轨道进行分类”研究报告 NIFS 系列。