Study on modeling of dynamical change of atomic structure due to nonlinear localization

• Project/Area Number: 22760066
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Engineering fundamentals
• Research Institution: Osaka University
• Principal Investigator: DOI Yusuke 大阪大学, 大学院・工学研究科, 助教 (10403172)
• Project Period (FY): 2010 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2010: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 分子動力学 / 非線形格子力学 / 非線形局在モード / 非線形振動 / 離散ブリーザー / 非線形動力学

Research Abstract

We construct the numerical method in which molecular dynamics simulation is combined with numerical iteration method for searching periodic solutions and with linear stability analysis of the periodic solutions in order to investigate the structure and stability of intrinsic localized modes excited in crystals. We investigate the structure and stability of intrinsic localized modes systematically. The results indicate that the possibility of the change of the structure of crystals due to nonlinear energy localizations.

Research Products

• [Journal Article] Numerical study on unstable perturbation of intrinsic localized modes in graphene (2012)
  • Author(s): Y. Doi, A. Nakatani
  • Journal Title: Journal of Solid Mechanics and Materials Engineering Volume: Vol.6 Pages: 70-81
  • NAID: 130002072457
  • Peer Reviewed
• [Journal Article] Intrinsic localized mode as in-plane vibration in two-dimensional Fermi-Pasta-Ulam lattices (2012)
  • Author(s): Y. Doi, A. Nakatani
  • Journal Title: Nonlinear Theory and Its Applications, IEICE Volume: Vol.1 Pages: 67-76
  • NAID: 130002139445
  • Peer Reviewed
• [Journal Article] Intrinsic localized mode as in-plane vibration in two-dimensional Fermi-Pasta-Ulam lattices (2012)
  • Author(s): Y. Doi and A. Nakatani
  • Journal Title: Nonlinear Theory and Its Applications, IEICE Volume: 3 Issue: 1 Pages: 67-76
  • DOI: 10.1587/nolta.3.67
  • NAID: 130002139445
  • ISSN: 2185-4106
  • Peer Reviewed
• [Journal Article] Numerical Study on Unstable Perturbation of Intrinsic Localized Modes in Graphene (2012)
  • Author(s): Y. Doi and A. Nakatani
  • Journal Title: Journal of Solid Mechanics and Materials Engineering Volume: 6 Issue: 1 Pages: 71-80
  • DOI: 10.1299/jmmp.6.71
  • NAID: 130002072457
  • ISSN: 1880-9871
  • Peer Reviewed
• [Journal Article] ひずみを付加した結晶における非線形局在振動の安定性の解析 (2011)
  • Author(s): 土井祐介, 中谷彰宏
  • Journal Title: 日本機械学会講演論文集(第24回計算力学講演会(CMD2011)) Volume: No.11-3 Pages: 281-282
• [Journal Article] Structure and stability of nonlinear vibration mode in graphene sheet (2011)
  • Author(s): Y. Doi, A. Nakatani
  • Journal Title: Procedia Engineering Volume: Vol.10 Pages: 3393-3398
• [Journal Article] 有限温度下における非線形エネルギー局在構造の安定性の解析 (2011)
  • Author(s): 土井祐介, 中谷彰宏
  • Journal Title: 第1回マルチスケールマテリアルモデリングシンポジウム講演論文集 Pages: 58-58
• [Journal Article] Structure and stability of nonlinear vibration mode in graphene sheet (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Journal Title: Procedia Engineering Volume: Vol.10 Pages: 3393-3398
  • DOI: 10.1016/j.proeng.2011.04.559
  • Peer Reviewed
• [Journal Article] 非線形エネルギー局在による結晶構造の変化の研究 (2010)
  • Author(s): 土井祐介, 中谷彰宏
  • Journal Title: 日本機械学会講演論文集(第23回計算力学講演会) Volume: No.10, 1030(CD-ROM) Pages: 1030-1030
• [Journal Article] Strain dependence of formation mechanism of growth layer in molecular beam epitaxy of gallium nitride (2010)
  • Author(s): Y.Kobayashi, Y.Doi, A.Nakatani
  • Journal Title: Japanese Journal of Applied Physics Volume: 49 Pages: 115601-115601
  • NAID: 40017377296
  • Peer Reviewed
• [Journal Article] グラフェンシートにおける炭素結合の大振幅振動の不安定化
  • Author(s): 土井祐介, 中谷彰宏
  • Journal Title: 計算工学講演会講演論文集 Volume: No.15 Pages: 637-638
• [Presentation] 離散ブリーザーの移動性に着目した対称格子の構成法 (2012)
  • Author(s): 土井祐介・中谷彰宏・吉村和之
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大学
  • Year and Date: 2012-03-24
• [Presentation] 離散フリーザーの移動性に着目した対称格子の構成法 (2012)
  • Author(s): 土井祐介, 中谷彰宏, 吉村和之
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大学
  • Year and Date: 2012-03-24
• [Presentation] グラフェンにおける非線形局在モードの数値シミュレーション (2012)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 日本応用数理学会2012年研究部会連合発表会
  • Place of Presentation: 九州大学
  • Year and Date: 2012-03-09
• [Presentation] グラフェンにおける非線形局在モードの数値シミュレーション (2012)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 日本応用数理学会2012年研究部会連合発表会
  • Place of Presentation: 九州大学伊都キャンパス
  • Year and Date: 2012-03-09
• [Presentation] Intrinsic Localized Modes in Strained Graphene Sheet (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications(NOLTA Workshop in Kyoto)
  • Place of Presentation: Kyoto
  • Year and Date: 2011-11-30
• [Presentation] Unstable dynamics of intrinsic localized modes in strained graphene (2011)
  • Author(s): Y.Doi, A.Nakatani
  • Organizer: 2011 Kyoto Workshop on NOLTA
  • Place of Presentation: 京都大学
  • Year and Date: 2011-11-30
• [Presentation] 格子の対称性による非線形局在モードの移動性の変化の解析 (2011)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 京都大学数理解析研究所研究集会「非線形波動の研究の新たな進展」
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-10-13
• [Presentation] ひずみを付加した結晶における非線形局在振動の安定性の解析 (2011)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 第24回計算力学講演会
  • Place of Presentation: 岡山
  • Year and Date: 2011-10-08
• [Presentation] ひずみを付加した結晶における非線形局在振動の安定性の解析 (2011)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 第24回計算力学講演会(CMD2011)
  • Place of Presentation: 岡山大学
  • Year and Date: 2011-10-08
• [Presentation] Linear stability analysis of intrinsic localized modes in graphene (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Organizer: 2011 World Congress on Advances in Structural Engineering and Mechanics(ASEM' 11+)
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2011-09-21
• [Presentation] Linear stability analysis of intrinsic localized modes in graphene (2011)
  • Author(s): Y.Doi, A.Nakatani
  • Organizer: 2011 World Congress on Advances in Structural Engineering and Mechanics (ASEM'11+)
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2011-09-21
• [Presentation] Intrinsic Localized Modes in Strained Graphene Sheet (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications(NOLTA2011)
  • Place of Presentation: Kobe
  • Year and Date: 2011-09-07
• [Presentation] Intrinsic localized modes in strained graphene sheet (2011)
  • Author(s): Y.Doi, A.Nakatani
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: KIPC (Kobe Industrial Promotion Center), Kobe
  • Year and Date: 2011-09-07
• [Presentation] Dynamical stability of intrinsic localized modes in graphene sheets (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Organizer: International Symposium on Atomistic Modeling for Mechanics and Multiphysics of Materials(ISAM4)
  • Place of Presentation: Tokyo
  • Year and Date: 2011-07-21
• [Presentation] Dynamical stability of intrinsic localized modes in graphene sheets (2011)
  • Author(s): Y.Doi, A.Nakatani
  • Organizer: International Symposium on Atomistic Modeling for Mechanics and Multiphysics of Materials (ISAM4)
  • Place of Presentation: 東京大学生産技術研究所
  • Year and Date: 2011-06-21
• [Presentation] Structure and stability of nonlinear vibration mode in graphene sheet (2011)
  • Author(s): Y. Doi and A. Nakatani
  • Organizer: In Proc. of the 11th International Conference on the Mechanical Behavior of Materials
  • Place of Presentation: Lake Como, Italy
  • Year and Date: 2011-06-07
• [Presentation] Structure and stability of nonlinear vibration mode in graphene sheet (2011)
  • Author(s): Y.Doi, A.Nakatani
  • Organizer: 11th International Conference on the Mechanical Behavior of Materials (ICM11)
  • Place of Presentation: Lake Como, Italy
  • Year and Date: 2011-06-07
• [Presentation] 有限温度下における非線形エネルギー局在構造の安定性の解析 (2011)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 第1回マルチスケールマテリアルモデリングシンポジウム
  • Place of Presentation: 大阪大学
  • Year and Date: 2011-05-23
• [Presentation] 有限温度下における非線形エネルギー局在構造の安定性の解析 (2011)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 第1回マルチスケールマテリアルモデリングシンポジウム
  • Place of Presentation: 大阪大学コンベンションセンター
  • Year and Date: 2011-05-23
• [Presentation] 方程式フリー法を用いた一次元格子の振動モード解析 (2011)
  • Author(s): 松山拓馬, 土井祐介, 中谷彰宏
  • Organizer: 第60回理論応用力学講演会
  • Place of Presentation: 東京工業大学(東京都)
  • Year and Date: 2011-03-09
• [Presentation] 2次元FPU格子における変調不安定性の解析 (2010)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 京都大学数理解析研究所研究集会「非線形波動現象の多様性と普遍性」
  • Place of Presentation: 京都大学数理解析研究所(京都市)
  • Year and Date: 2010-10-14
• [Presentation] 非線形エネルギー局在による結晶構造の変化の研究 (2010)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 第23回計算力学講演会
  • Place of Presentation: 北見工大
  • Year and Date: 2010-09-24
• [Presentation] 方程式フリー法を用いた一次元格子の力学解析 (2010)
  • Author(s): 松山拓馬, 土井祐介, 中谷彰宏
  • Organizer: 第23回計算力学講演会
  • Place of Presentation: 北見工業大学(北見市)
  • Year and Date: 2010-09-24
• [Presentation] 非線形エネルギー局在による結晶構造の変化の研究 (2010)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 第23回計算力学講演会
  • Place of Presentation: 北見工業大学(北見市)
  • Year and Date: 2010-09-24
• [Presentation] グラフェンシートにおける炭素結合の大振幅振動の不安定化 (2010)
  • Author(s): 土井祐介・中谷彰宏
  • Organizer: 計算工学講演会
  • Place of Presentation: 九州大学
  • Year and Date: 2010-05-28
• [Presentation] グラフェンシートにおける炭素結合の大振幅振動の不安定化 (2010)
  • Author(s): 土井祐介, 中谷彰宏
  • Organizer: 第15回計算工学講演会
  • Place of Presentation: 九州大学(福岡市)
  • Year and Date: 2010-05-28