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Theoretical Research in Formation Mechanisms of Fuzzy Nano-structures by Comparison among Noble Gases and Metals

Research Project

Project/Area Number 15H05563
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Nuclear fusion studies
Research InstitutionNational Institute for Fusion Science

Principal Investigator

Ito Atsushi M.  核融合科学研究所, ヘリカル研究部, 准教授 (10581051)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥20,670,000 (Direct Cost: ¥15,900,000、Indirect Cost: ¥4,770,000)
Fiscal Year 2018: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2016: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2015: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Keywordsプラズマ壁相互作用 / ヘリウムプラズマ / タングステン / 分子動力学 / ハイブリッドシミュレーション / 動的モンテカルロ法 / 二体衝突近似 / ナノ構造 / プラズマ・核融合 / ナノ材料 / プラズマ加工 / 計算物理 / 物性理論 / プラズマー壁相互作用 / Fuzz構造 / ダイバータ / シミュレーション / 数理物理 / プラズマ-壁相互作用 / ヘリウム / プラズマ-物質相互作用
Outline of Final Research Achievements

We investigated the formation mechanism for "fuzz" which is a fuzzy nanostructure induced on the tungsten surface by helium plasma irradiation. We developed the BCA-MD-KMC triple hybrid method, the method to find automatically path of the impurity atom in material, the meta-compiler to generation the simulation code for potential model in molecular dynamics from mathematical expressions. Using these, we succeeded in reproducing the growth of fuzz by simulation. As a growth mechanism, it has come to discover an unexpected mechanism in which repeated sputtering and re-deposition phenomena cause transport of tungsten atoms after burst of helium bubbles.

Academic Significance and Societal Importance of the Research Achievements

本研究を通じて開発されたBCA-MD-KMCハイブリッド法は、原子レベルの計算のまま100秒までの照射現象をシミュレート可能にした画期的な手法であり、プラズマと固体物質の界面現象(プラズマ物質相互作用)に対して広く応用可能な手法である。産業界では半導体プロセスや薄膜コーティングに展開可能で、成功すれば飛躍的な製品開発の向上に繋がる可能性があり、現在は産学連携研究を展開中である。また、動的モンテカルロの経路探索法やメタコンパイラも、プラズマ・核融合分野以外での物質材料シミュレーションに広く展開可能なもので、今後の分野融合的発展が期待できる。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (55 results)

All 2019 2018 2017 2016 2015 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results,  Open Access: 4 results,  Acknowledgement Compliant: 1 results) Presentation (37 results) (of which Int'l Joint Research: 20 results,  Invited: 6 results) Book (1 results) Remarks (4 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Triple Hybrid Simulation Method for Tungsten Fuzzy Nanostructure Formation2018

    • Author(s)
      ITO Atsushi M.、TAKAYAMA Arimichi、NAKAMURA Hiroaki
    • Journal Title

      Plasma and Fusion Research

      Volume: 13 Issue: 0 Pages: 3403061-3403061

    • DOI

      10.1585/pfr.13.3403061

    • NAID

      130007437740

    • ISSN
      1880-6821
    • Year and Date
      2018-06-15
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] First principle calculations of energy of agglomerated helium in the period 6 elements2018

    • Author(s)
      Omori K.、Ito A.M.、Mun I.、Yamashita N.、Ibano K.、Lee H.T.、Ueda Y.
    • Journal Title

      Nuclear Materials and Energy

      Volume: 16 Pages: 226-229

    • DOI

      10.1016/j.nme.2018.07.003

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Systematic study of He induced nano-fiber formation of W and other period 6 transition metals2018

    • Author(s)
      Ueda Y.、Yamashita N.、Omori K.、Lee H.T.、Ibano K.、Ito A.M.
    • Journal Title

      Journal of Nuclear Materials

      Volume: 511 Pages: 605-609

    • DOI

      10.1016/j.jnucmat.2018.04.024

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Triple Hybrid Simulation Method for Tungsten Fuzzy Nanostructure Formation2018

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, and Hiroaki Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Automatic Kinetic Monte-Carlo Modeling for Impurity Atom Diffusion in Grain Boundary Structure of Tungsten Material2017

    • Author(s)
      Atsushi M. Ito, Shuichi Kato, Arimichi Takayama, and Hiroaki Nakamura
    • Journal Title

      Nuclear Material and Energy

      Volume: 12 Pages: 353-360

    • DOI

      10.1016/j.nme.2017.04.010

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Fractality and growth of He bubbles in metals2017

    • Author(s)
      Shin Kajita, Atsushi M. Ito, Noriyasu Ohno
    • Journal Title

      Physics Letters A

      Volume: 381 Issue: 29 Pages: 2355-2362

    • DOI

      10.1016/j.physleta.2017.05.028

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Microwrinkle structures on refractory metal surfaces irradiated with noble gas plasma species2017

    • Author(s)
      S. Takamura, Y. Uesugi, A.M. Ito, M. Yajima, K. Yamada, S. Maenaka and K. Fujita
    • Journal Title

      Nuclear Fusion

      Volume: 57 Issue: 8 Pages: 086043-086043

    • DOI

      10.1088/1741-4326/aa75ee

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free Energy Reconstruction from Logarithmic Mean-Force Dynamics Using Multiple Nonequilibrium Trajectories2017

    • Author(s)
      Morishita Tetsuya、Yonezawa Yasushige、Ito Atsushi M.
    • Journal Title

      Journal of Chemical Theory and Computation

      Volume: 13 Issue: 7 Pages: 3106-3119

    • DOI

      10.1021/acs.jctc.7b00252

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparison between helium plasma induced surface structures in group 5 (Nb, Ta) and group 6 elements (Mo, W)2017

    • Author(s)
      K. Omori, A. M. Ito, K. Shiga, N. Yamashita, K. Ibano, H. T. Lee, and Y. Ueda
    • Journal Title

      Journal of Applied Physics

      Volume: 121 Issue: 15 Pages: 155301-155301

    • DOI

      10.1063/1.4981128

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study of tritium desorption by energetic ion bombardment from tungsten material2016

    • Author(s)
      Shuichi Kato, Atsushi M. Ito, Arimichi Takayama, Mamiko Sasao, Motoi Wada, and Hiroaki Nakamura
    • Journal Title

      Jpn. J. Appl. Phys.

      Volume: 55 Issue: 1S Pages: 01AH11-01AH11

    • DOI

      10.7567/jjap.55.01ah11

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Level-by-level Artificial Viscosity and Visualization for MHD Simulation with Adaptive Mesh Refinement2016

    • Author(s)
      Tomoharu Hatori, Atsushi M. Ito, Masanori Nunami, Hideyuki Usui, and Hideaki Miura
    • Journal Title

      J. Compt. Phys.

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Molecular dynamics and Monte Carlo hybrid simulation for fuzzy tungsten nanostructure formation2015

    • Author(s)
      A.M. Ito, A. Takamyama, Y. Oda, T. Tamura, R. Kobayashi, T. Hattori, S. Ogata, N. Ohno, S. Kajita, M. Yajima, Y. Nojiri, Y. Yoshimoto, S. Saito, S. Takamura, T. Murashima, M. Miyamoto, H. Nakamura
    • Journal Title

      Nuclear Fusion

      Volume: 55 Issue: 7 Pages: 073013-073013

    • DOI

      10.1088/0029-5515/55/7/073013

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Presentation] BCA-MD-KMC Multi-hybrid Simulation for Tungsten Nanostructure Formation under Helium Plasma Irradiation2019

    • Author(s)
      Atsushi M. Ito
    • Organizer
      Joint meeting of the symposium on hierarchy and holism in natural sciences and US-Japan Joint Institute for Fusion Theory(JIFT) workshop on multiscale simulation in plasma physics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Development of Interatomic Potential Model toward Z-Universal Model for Plasma-Material Interaction2019

    • Author(s)
      Atsushi M. Ito
    • Organizer
      11th International Symposium on Advanced Plasma Science and its Applications for Nitrides and Nanomaterials 12th International Conference on Plasma-Nano Technology & Science
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 炭素材料のプラズマ反応素過程の分子シミュレーション2019

    • Author(s)
      伊藤篤史
    • Organizer
      第66回応用物理学会春季学術講演会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Development of BCA-MD-KMC multi-hybrid simulation method for fuzzy nanostructure formation2018

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamura
    • Organizer
      The 23th International Conference on Plasma-Surface Interaction
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] BCA-MD-KMC hybrid simulation for long time helium plasma irradiation inducing fuzzy nanostructure on tungsten2018

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamura
    • Organizer
      The 9th International Conference on Multiscale Materials Modeling (MMM2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The growth of tungsten fuzzy nanostructure by BCA-MD-KMC multi-hybrid simulation2018

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamura
    • Organizer
      2nd Asia-Pacific Conference on Plasma Physics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Incident Energy Dependence of Tungsten Fuzzy Nanostructure Formation under Helium Plasma Irradiation by Using BCA-MD-KMC Multi-Hybrid Simulation2018

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamura
    • Organizer
      27th International Toki Conference and 13th Asia Pacific Plasma Theory Conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] マルチハイブリッドシミュレーションからみた 繊維状ナノ構造の発生機構2018

    • Author(s)
      伊藤篤史, 高山有道, 中村浩章
    • Organizer
      第12回核融合エネルギー連合講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] マルチハイブリッドシミュレーションによるプラズマ誘起繊維状ナノ構造形成現象の解明2018

    • Author(s)
      伊藤篤史, 高山有道, 中村浩章
    • Organizer
      第32回分子シミュレーション討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] ヘリウム照射金属ナノ構造形成のためのBCA-MD-KMCマルチハイブリッド法の開発2018

    • Author(s)
      伊藤篤史, 高山有道, 中村浩章
    • Organizer
      日本物理学会年会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 局所分子動力学を利用した動的モンテカルロ法の自動モデリングと粒界構造中の不純物拡散2017

    • Author(s)
      伊藤篤史, 高山有道, 中村浩章
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 炭素ダスト形成の分子動力学研究2017

    • Author(s)
      伊藤篤史
    • Organizer
      「自然科学における階層と全体」シンポジウム
    • Place of Presentation
      名古屋ルーセントタワー
    • Year and Date
      2017-02-14
    • Related Report
      2016 Annual Research Report
  • [Presentation] プラズマ-物質相互作用のハイブリッドシミュレーション開発2017

    • Author(s)
      伊藤篤史, 高山有道, 小田泰丈, 加藤周一, 中村浩章
    • Organizer
      IFERC-CSC(国際核融合エネルギー研究センター-計算機シミュレーションセンター)研究会
    • Place of Presentation
      ビジョンセンター東京
    • Year and Date
      2017-01-10
    • Related Report
      2016 Annual Research Report
  • [Presentation] Triple Hybrid Simulation Method for Tungsten Fuzzy Nanostructure Formation2017

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamura
    • Organizer
      26th International Toki Conference 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 局所分子動力学を用いた動的モンテカルロ用移動経路の自動構築2017

    • Author(s)
      伊藤 篤史, 加藤 周一, 高山 有道, 中村 浩章
    • Organizer
      第7回計算統計物理学研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 数式から相互作用ポテンシャル計算コードを自動生成するメタコンパイラ2017

    • Author(s)
      伊藤篤史, 吉本芳英
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 局所分子動力学を用いた動的モンテカルロ法の経路自動探索2017

    • Author(s)
      伊藤篤史,加藤周一
    • Organizer
      第31回分子シミュレーション討論会
    • Related Report
      2017 Annual Research Report
  • [Presentation] ファズ構造形成過程に向けたマルチハイブリッドシミュレーション2017

    • Author(s)
      Atsushi M. Ito, Arimichi Takayama, Hiroaki Nakamua
    • Organizer
      Plasma Conference 2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] 分子動力学に向けた多体ポテンシャル関の自動コード生成を行うメタコンパイラDAMAの開発2016

    • Author(s)
      伊藤篤史
    • Organizer
      第30回分子シミュレーション討論会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2016-11-30
    • Related Report
      2016 Annual Research Report
  • [Presentation] Hybrid Simulations for Plasma-Material Interaction with OpenMX2016

    • Author(s)
      Atsushi M. Ito
    • Organizer
      OpenMX Developer’s meeting
    • Place of Presentation
      KAIST, Korea
    • Year and Date
      2016-11-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Multi-scale and hybrid simulationfor hydrogen and helium bombardment onto tungsten materials2016

    • Author(s)
      Atsushi M. Ito, Shuichi Kato, Hiroaki Nakamura
    • Organizer
      U.S.-Japan workshop Heat Road and Plasma Material Interaction
    • Place of Presentation
      U.C.Berkeley, U.S.
    • Year and Date
      2016-11-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Atomic scale hybrid simulationfor hydrogen and helium irradiation intoin tungsten material2016

    • Author(s)
      A. M. Ito, S. Kato, A. Takayama, and H. Nakamura
    • Organizer
      ITPA Topical Group Meetings SOL-Divertor
    • Place of Presentation
      Naka, Japan
    • Year and Date
      2016-10-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] BCA-KMC Hybrid Simulation with Meta-Modeling for Hydrogen Dynamic Retention in Tungsten Material2016

    • Author(s)
      A. M. Ito, S. Kato and H. Nakamura
    • Organizer
      IAEA Fusion Energy Conference(IAEA-FEC2016)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2016-10-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] BCA-KMC Hybrid Simulation with Meta-Modeling for Hydrogen Dynamic Retention in Tungsten Material2016

    • Author(s)
      A. M. Ito, S. Kato, and H. Nakamura
    • Organizer
      The 26th IAEA Fusion Energy Conference (FEC 2016)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2016-10-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] マルチカノニカル分子動力学を用いたアモルファス炭素構造の分類2016

    • Author(s)
      伊藤篤史, 高山有道, 中村浩章
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] The BCA-KMC Hybrid Simulation for Hydrogen Retention in Tungsten Material2016

    • Author(s)
      A. M. Ito, S. Kato, A. Takayama, and H. Nakamura
    • Organizer
      International Workshop on Models and Data for Plasma-Material Interaction in Fusion Devices(MoD-PMI2016)
    • Place of Presentation
      Loughborough University, Loughborough, Leicestershire, United Kingdom
    • Year and Date
      2016-06-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The BCA-KMC Hybrid Simulation for Hydrogen Retention in Tungsten Material2016

    • Author(s)
      A. M. Ito, S. Kato, A. Takayama, and H. Nakamura
    • Organizer
      International Workshop on Models and Data for Plasma-Material Interaction in Fusion Devices 2016 (MoD-PMI2016)
    • Place of Presentation
      Loughborough University, Loughborough, Leicestershire, United Kingdom
    • Year and Date
      2016-06-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hydrogen Isotope Diffusion on Grain Boundary with Kinetic Monte-Carlo Model Automatically Constructed from Molecular Dynamics2016

    • Author(s)
      Atsushi M. ITO, Shuichi KATO, Hiroaki NAKAMURA
    • Organizer
      22th International Conference on Plasma Surface Interactions(PSI22)
    • Place of Presentation
      Roma, Itary
    • Year and Date
      2016-05-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hydrogen Isotope Diffusion on Grain Boundary with Kinetic Monte-Carlo Model Automatically Constructed from Molecular Dynamics2016

    • Author(s)
      Atsushi M. Ito, S. Kato, and H. Nakamura
    • Organizer
      22th International Conference on Plasma-Surface Interaction
    • Place of Presentation
      Roma, Italy
    • Year and Date
      2016-05-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 水素および希ガスと各種金属原子間のポテンシャルモデル開発2015

    • Author(s)
      伊藤篤史, 加藤周一, 中村浩章
    • Organizer
      プラズマ核融合学会年会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-11-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] プラズマ-物質相互作用シミュレーションにおける入射フラックスと入射フルーエンス2015

    • Author(s)
      伊藤篤史
    • Organizer
      第31回九州・山口プラズマ研究会
    • Place of Presentation
      COCOLAND SPORTS&RESORT, 山口
    • Year and Date
      2015-11-01
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] BCA-kMC Hybrid Simulation for Hydrogen and Helium Implantation in Material under Plasma Irradiation2015

    • Author(s)
      S. Kato, A. M. Ito, H. Nakamura, M. Sasao, M. Wada
    • Organizer
      9th International Conference on Reactive Plasmas
    • Place of Presentation
      Hawaii Convention Center, Hawaii, USA
    • Year and Date
      2015-10-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ヘリウムプラズマ誘起ナノ構造のシミュレーションによる金属比較2015

    • Author(s)
      伊藤篤史
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] ヘリウム誘起繊維状ナノ構造形成に纏わる金属比較2015

    • Author(s)
      伊藤篤史
    • Organizer
      プラズマシミュレーターシンポジウム2015
    • Place of Presentation
      核融合科学研究所
    • Year and Date
      2015-09-03
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Fusion material simulation2015

    • Author(s)
      A. M. Ito, T. Murashima, T. Tamura, R. Kobayashi, A. Takayama, S. Kajita, S. Takamura, N. Ohno, M. Yajima, Y. Yoshimoto, S. Ogata, S.Kato, and H. Nakamura
    • Organizer
      Innovations and co-designs of fusion simulations towards extreme scale computing
    • Place of Presentation
      Nagoya University, Nagoya, Japan
    • Year and Date
      2015-08-20
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Plasma-Material Interaction: Fuzzy Nanostructure Formation by Helium Plasma Irradiation2015

    • Author(s)
      Atsushi M. Ito, Takahiro Murashima, Arimichi Takayama, Tomoyuki Tamura, Ryo Kobayashi, Shin Kajita, Shuichi Takamura, Noriyasu Ohno, Miyuki Yajima, Yoshihide Yoshimoto, Shuji Ogata, and Hiroaki Nakamura
    • Organizer
      International workshop on Warm Dense Matter
    • Place of Presentation
      Kurashiki, Japan
    • Year and Date
      2015-06-08
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Tungsten Fuzzy Nanostructure Growth by Molecular Dynamics and Monte-Carlo Hybrid Simulation2015

    • Author(s)
      A. M. Ito, T. Murashima, T. Tamura, R. Kobayashi, A. Takayama, S. Kajita, s. Takamura, N. Ohno, M. Yajima, Y. Yoshimoto, S. Ogata, and H. Nakamura
    • Organizer
      International Workshop on Models and Data for Plasma-Material Interaction in Fusion Devices 2015(MoD-PMI2015)
    • Place of Presentation
      Marseille, France
    • Year and Date
      2015-05-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] プラズマシミュレーション2018

    • Author(s)
      プラズマ・核融合学会
    • Total Pages
      404
    • Publisher
      京都大学学術出版会
    • ISBN
      9784814001835
    • Related Report
      2018 Annual Research Report
  • [Remarks] http://www-fps.nifs.ac.jp/ito/

    • Related Report
      2018 Annual Research Report
  • [Remarks] Atsushi M. Ito web

    • Related Report
      2017 Annual Research Report
  • [Remarks] http://www-fps.nifs.ac.jp/ito/

    • Related Report
      2016 Annual Research Report
  • [Remarks] Atsushi M. Ito web (所属研究機関の研究者個人ホームページ

    • URL

      http://www-fps.nifs.ac.jp/ito/

    • Related Report
      2015 Annual Research Report
  • [Patent(Industrial Property Rights)] 数式処理方法2016

    • Inventor(s)
      伊藤 篤史
    • Industrial Property Rights Holder
      伊藤 篤史
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2016-180966
    • Filing Date
      2016-09-15
    • Related Report
      2016 Annual Research Report

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Published: 2015-04-16   Modified: 2020-03-30  

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