1989 Fiscal Year Annual Research Report

プラズマ波動系のダイナミックスと乱れ

Research Project

Project/Area Number	63302062
Research Institution	University of Tokyo
Principal Investigator	和達三樹東京大学, 教養学部, 助教授 (60015831)
Co-Investigator(Kenkyū-buntansha)	佐藤哲也核融合科学研究所, 教授 (80025395) 広田良吾広島大学, 工学部, 教授 (00066599) 西田靖宇都宮大学, 工学部, 教授 (00005315) 西原功修大阪大学, レーザー核融合センター, 教授 (40107131) 市川芳彦核融合科学研究所, 教授 (90058917)
Keywords	ソリトン / カオス / ドリフト波 / イオン波 / アルフベン波 / 粒子加速 / 電子ビ-ム・プラズマ / 結び目理論
Research Abstract	1.イオンビ-ムや電子ビ-ムによるプラズマ不安定波の成長過程におけるソリトンの役割が明らかにされた。特に、後者ではソリトン生成による不安定モ-ドの安定化が示され、実験も行なわれた。 2.新しい粒子加速機構として、大振幅磁気音波による共鳴加速を提唱し、太陽フレア-における短時間内での粒子加速を説明した。 3.磁力線に沿って伝播する非線形アルフベン波の特性を「微分型非線形シュレディンガ-方程式」を用いて研究し、その効期値問題と発生するソリトンの個数との関係を明らかにした。 4.ダブルプラズマ発生装置を用いて、ポンプ波の周期倍化現象や電子プラズマ波の高調波励起等のカオス的振舞いを観測した。 5.散逸項を含む「非線形シュレディンガ-方程式」を例にとり、摂動の影響下における多ソリトン状態の性質を明らかにした。 6.ドリフト波に対して渦系近似を行ない、その動的、統計的性質を明らかにした。特に、渦系の拡散係数を解析的に求めることに成功した。 7.磁力線や粒子軌道のトポロジ-的空間配位を識別する問題(総び目理論)において、より強力な新しい絡み目多項式がソリトン理論から構成できることを明らかにした。 8.不均一密度の磁化プラズマ中にお刑るドリフト波の伝播特性や自然励起波の性質が調べられた。磁場に対して右ねじ方向のEXBドリフトのシアを与え、小電極励起子に正のパルスを加えたところ、正電位のドリフト波パルスの伝播が観測された。ソリトン的性質を持っている。 9.イオン波ソリトンの反射及び透過現象の観測と解析、大振幅イオン波の励起手法の開発が行なわれた。 10.サイクロトロン運動する粒子に、磁場に垂直に伝播する静電波を加えた場合、位相空間に薄いストカスティック層が形成される事を示した。

Research Products
(32 results)

All Other

All Publications (32 results)

[Publications] T.Yajima: "Soliton Solution and Its Property of Unstable Nonlinear Schrodinger Equation" Journal of Physical Society of Japan. 59. 41-47 (1990)
[Publications] M.Wadati: "Exactly Solvable Models and Knot Theory" Physics Reports. 180. 247-332 (1989)
[Publications] T.Yamada: "Effects of Dissipative Perturbation on Bound-state Solitons of Nonlinear Schrodinger Equation" Journal of Physical Society of Japan. 58. 1944-1947 (1989)
[Publications] K.Saeki: "Propagation of Nonlinear Drift Wave Pulses" Proceedings of International Conference on Plasma Physics, India. 953-956 (1989)
[Publications] Y.Baba: "A Note of a Class of Periodic Orbits of the Tent Map" Progress of Theoretical Phsysics. 3. 541-543 (1989)
[Publications] T.Konishi: "Relaxation and Diffusion in Hamiltonian Systems with Many Degrees of Freedam" Progress of Theoretical Physics Supplement. 98. 19-35 (1989)
[Publications] S.Watanabe: "Envelope Soliton under Dissipation" Journal of the Physical Society of Japan. 58. 821-826 (1989)
[Publications] Y.Hase: "Soliton Solutions of the Mel'nikov Equations" Journal of the Physical Society of Japan. 58. 2713-2720 (1989)
[Publications] M.Ito: "A Reduce Program for Hirota's Bilinear Operator and Wronskian Operations" Computer Physics Communications. 50. 321-330 (1988)
[Publications] R.Hirota: "Soliton Solutions of the BKP Equations I.The Pfaffion Techntque" Journal of the Physical Society of Japan. 58. 2285-2296 (1989)
[Publications] R.Hirota: "Soliton Solutions to the BKP Equations II.The Integral Equation" Journal of the Physical Society of Japan. 58. 2705-2712 (1989)
[Publications] Y.H.Ichikawa: "Stochasticity and Symmetry of the Standard Map" Progress of Theoretical Physics Supplement. 98. 1-18 (1989)
[Publications] K.Kaneko: "Is the Diffusion Normal in Hamiltonian Dynamical Systems with Many Degrees of Freedom?" Physical Review. A40. 6130-6133 (1989)
[Publications] Y.Ohsawa: "Electron Motion in a Nonlinear Magnetosonic Wave Propagating Perpendicularly to a Magnetic Field" Journal of th Physical Society of Japan. 58. 4445-4454 (1989)
[Publications] Y.Ohsawa: "Prompt Acceleration of Ions to Relativistic Energies by a Large-Amplitude Magnetosonic Wave" Astrophys.J.Supplement.in press.
[Publications] N.Ohno: "Chaotic Behavior of Current-Carrying Plasmas in External Periodic Oscillations" Journal of the Physical Society of Japan. 58. 28-31 (1989)
[Publications] T.Kano: "Normal Form of Nolinear Schrodinger Equation" Journal of the Physical Society of Japan. 58. 4322-4328 (1989)
[Publications] G.C.Santos: "Integrability of the 2-D Nonlinear Schrodinger Equation" Journal of the Physical Society of Japan. 58. 2609-2611 (1989)
[Publications] M.Tanaka: "Description of a Wave Packet Propagating in Anomalous Dispersive Media" Plasma Physics and Controlled Fusion. 31. 1049-1067 (1989)
[Publications] M.Kono: "Point Vortex Description of Drift Wave Vortices:Dynamics and Transport" Report of Institute of Fusion Studies #410. (1989)
[Publications] T.Deguchi: "Knot theory based on Solvable Models at Criticality" Advaced Studies in Pure Mathematics. 19. 193-285 (1989)
[Publications] W.Strampp: "KP Hierarchyの対称性と保存量" 京都大学数理解析研究所講究録. 684. 160-183 (1989)
[Publications] 高橋大輔: "演算子による差分化" 京都大学数理解析研究所講究録. 684. 184-194 (1989)
[Publications] N.C.Freeman: "Exact Solutions Describing an Interaction of Pulses with Compact Support in a Nonlinear Diffusive System" Physics Letter. A138. 110-112 (1989)
[Publications] S.Miyake: "A Representation of Solutions for the KP Hierarchy and Its Algebraic Structure" Journal of the Physical Society of Japan. 59. 48-55 (1990)
[Publications] Y.Nakamura: "Reflection of ion-acoustic waves from bipolar potential structures" J.Plasma Physics. 41. 243-255 (1989)
[Publications] K.Yamagiwa: "Evolution and Localized Structure of Unstable Waves in an Electron Beam Plasma" Reports(Kokai University).
[Publications] Y.Akutsu: "Braid Group,Knot Theory and Statistical Mechanics,ed.by C.N.Yang and M.L.Ge" World Scientific Publishing, 50 (1989)
[Publications] T.Yajima: "Integrable and Superintegrable Systems" World Scientific Publishing, (ed.byB.A.Kuperschmidt)
[Publications] T.Kasuya: "Proc.XIX Int.Conf.on Pheromena in Ioinized Gases,Belgrade(1989)pp.930-931" Observations of subharmonics in an Electron Beam-Plasma System, 2 (1989)
[Publications] A.Komori: "Prsc,1989 Confrence on Plasma Physics India(1989)pp.801-804" Instabilities Associated with Chaotic Behavior in a Current-Carrying Plasma, 4 (1989)
[Publications] T.Yajima: "Integrable and Superintegrable Systems ed.by B.A.Kupershrnidt" World Scientific Publishing, 22 (1990)

1989 Fiscal Year Annual Research Report

プラズマ波動系のダイナミックスと乱れ

Principal Investigator

和達 三樹 東京大学, 教養学部, 助教授 (60015831)

Research Products

[Publications] T.Yajima: "Soliton Solution and Its Property of Unstable Nonlinear Schrodinger Equation" Journal of Physical Society of Japan. 59. 41-47 (1990)

[Publications] M.Wadati: "Exactly Solvable Models and Knot Theory" Physics Reports. 180. 247-332 (1989)

[Publications] T.Yamada: "Effects of Dissipative Perturbation on Bound-state Solitons of Nonlinear Schrodinger Equation" Journal of Physical Society of Japan. 58. 1944-1947 (1989)

[Publications] K.Saeki: "Propagation of Nonlinear Drift Wave Pulses" Proceedings of International Conference on Plasma Physics, India. 953-956 (1989)

[Publications] Y.Baba: "A Note of a Class of Periodic Orbits of the Tent Map" Progress of Theoretical Phsysics. 3. 541-543 (1989)

[Publications] T.Konishi: "Relaxation and Diffusion in Hamiltonian Systems with Many Degrees of Freedam" Progress of Theoretical Physics Supplement. 98. 19-35 (1989)

[Publications] S.Watanabe: "Envelope Soliton under Dissipation" Journal of the Physical Society of Japan. 58. 821-826 (1989)

[Publications] Y.Hase: "Soliton Solutions of the Mel'nikov Equations" Journal of the Physical Society of Japan. 58. 2713-2720 (1989)

[Publications] M.Ito: "A Reduce Program for Hirota's Bilinear Operator and Wronskian Operations" Computer Physics Communications. 50. 321-330 (1988)

[Publications] R.Hirota: "Soliton Solutions of the BKP Equations I.The Pfaffion Techntque" Journal of the Physical Society of Japan. 58. 2285-2296 (1989)

[Publications] R.Hirota: "Soliton Solutions to the BKP Equations II.The Integral Equation" Journal of the Physical Society of Japan. 58. 2705-2712 (1989)

[Publications] Y.H.Ichikawa: "Stochasticity and Symmetry of the Standard Map" Progress of Theoretical Physics Supplement. 98. 1-18 (1989)

[Publications] K.Kaneko: "Is the Diffusion Normal in Hamiltonian Dynamical Systems with Many Degrees of Freedom?" Physical Review. A40. 6130-6133 (1989)

[Publications] Y.Ohsawa: "Electron Motion in a Nonlinear Magnetosonic Wave Propagating Perpendicularly to a Magnetic Field" Journal of th Physical Society of Japan. 58. 4445-4454 (1989)

[Publications] Y.Ohsawa: "Prompt Acceleration of Ions to Relativistic Energies by a Large-Amplitude Magnetosonic Wave" Astrophys.J.Supplement.in press.

[Publications] N.Ohno: "Chaotic Behavior of Current-Carrying Plasmas in External Periodic Oscillations" Journal of the Physical Society of Japan. 58. 28-31 (1989)

[Publications] T.Kano: "Normal Form of Nolinear Schrodinger Equation" Journal of the Physical Society of Japan. 58. 4322-4328 (1989)

[Publications] G.C.Santos: "Integrability of the 2-D Nonlinear Schrodinger Equation" Journal of the Physical Society of Japan. 58. 2609-2611 (1989)

[Publications] M.Tanaka: "Description of a Wave Packet Propagating in Anomalous Dispersive Media" Plasma Physics and Controlled Fusion. 31. 1049-1067 (1989)

[Publications] M.Kono: "Point Vortex Description of Drift Wave Vortices:Dynamics and Transport" Report of Institute of Fusion Studies #410. (1989)

[Publications] T.Deguchi: "Knot theory based on Solvable Models at Criticality" Advaced Studies in Pure Mathematics. 19. 193-285 (1989)

[Publications] W.Strampp: "KP Hierarchyの対称性と保存量" 京都大学数理解析研究所講究録. 684. 160-183 (1989)

[Publications] 高橋大輔: "演算子による差分化" 京都大学数理解析研究所講究録. 684. 184-194 (1989)

[Publications] N.C.Freeman: "Exact Solutions Describing an Interaction of Pulses with Compact Support in a Nonlinear Diffusive System" Physics Letter. A138. 110-112 (1989)

[Publications] S.Miyake: "A Representation of Solutions for the KP Hierarchy and Its Algebraic Structure" Journal of the Physical Society of Japan. 59. 48-55 (1990)

[Publications] Y.Nakamura: "Reflection of ion-acoustic waves from bipolar potential structures" J.Plasma Physics. 41. 243-255 (1989)

[Publications] K.Yamagiwa: "Evolution and Localized Structure of Unstable Waves in an Electron Beam Plasma" Reports(Kokai University).

[Publications] Y.Akutsu: "Braid Group,Knot Theory and Statistical Mechanics,ed.by C.N.Yang and M.L.Ge" World Scientific Publishing, 50 (1989)

[Publications] T.Yajima: "Integrable and Superintegrable Systems" World Scientific Publishing, (ed.byB.A.Kuperschmidt)

[Publications] T.Kasuya: "Proc.XIX Int.Conf.on Pheromena in Ioinized Gases,Belgrade(1989)pp.930-931" Observations of subharmonics in an Electron Beam-Plasma System, 2 (1989)

[Publications] A.Komori: "Prsc,1989 Confrence on Plasma Physics India(1989)pp.801-804" Instabilities Associated with Chaotic Behavior in a Current-Carrying Plasma, 4 (1989)

[Publications] T.Yajima: "Integrable and Superintegrable Systems ed.by B.A.Kupershrnidt" World Scientific Publishing, 22 (1990)

和達三樹東京大学, 教養学部, 助教授 (60015831)