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Experimental Study of Intrinsic Localized modes in Large Scale Nonlinear Lattices

Research Project

Project/Area Number 25400394
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKanazawa University

Principal Investigator

Sato Masayuki  金沢大学, 数物科学系, 教授 (00266925)

Research Collaborator Sievers A. J.  Cornell University, Laboratory of Atomic and Solid State Physics
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords非線形局在励起 / Intrinsic Localized Mode / Discrete Breather / 超伝送 / 過飽和非線形 / ソリトン / 格子 / ILM / supertransmission / 大規模格子 / MEMS / 過飽和非線形性
Outline of Final Research Achievements

Two major problems of Intrinsic Localized Modes (ILM) in a nonlinear lattice were addressed;(1) a potential which prevents free translational motion of ILM called Peierls-Nabarro potential, and (2) generation of tail excitation behind the ILM when it travels. Suppression of PN potential in a saturable nonlinear lattice was confirmed experimentally by observing a liner spectrum when the ILM tales place width-widening (narrowing) bifurcation(s) by the saturation of the nonlinearity. The generation of tail excitation when the ILM travels at a constant speed is explained by a finite magnitude of a Fourier component of a nonlinear force where the ILM intersects with a dispersion curve. By mixing of two nonlinearities with a careful tuning, the sum Fourier amplitude can be eliminated and the generation of the tail excitation was suppressed.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (19 results)

All 2016 2015 2014 2013 Other

All Int'l Joint Research (1 results) Journal Article (5 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 2 results,  Acknowledgement Compliant: 2 results) Presentation (11 results) (of which Int'l Joint Research: 4 results) Remarks (2 results)

  • [Int'l Joint Research] Cornell University(米国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Supertransmission channel for an intrinsic localized mode in a one-dimensional nonlinear physical lattice2015

    • Author(s)
      M. Sato, T. Nakaguchi, T. Ishikawa, S. Shige, Y. Soga, Y. Doi, and A. J. Sievers
    • Journal Title

      CHAOS

      Volume: 25 Issue: 10 Pages: 103122-103122

    • DOI

      10.1063/1.4933329

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dynamics of impurity attraction and repulsion of an intrinsic localized mode in a driven 1-D cantilever array2015

    • Author(s)
      M. Sato, Y. Sada, W. Shi, S. Shige, T. Ishikawa, Y. Soga, B. E. Hubbard, B. Ilic and A. J. Sievers
    • Journal Title

      CHAOS

      Volume: 25 Issue: 1 Pages: 013103-013103

    • DOI

      10.1063/1.4905254

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Bifurcation Dynamics of a Perturbed Intrinsic Localized Mode in a Driven Micromechanical Array2013

    • Author(s)
      W. Shi, S. Shige, Y. Soga, M. Sato and A. J. Sievers
    • Journal Title

      EPL

      Volume: 103 Issue: 3 Pages: 30006-30006

    • DOI

      10.1209/0295-5075/103/30006

    • NAID

      130003375425

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Intrinsic Localized Mode in an Electric Lattice Containing MOS-Capacitors2013

    • Author(s)
      W. Shi, S. Shige, H. Hasebe, M. Sato, and A. J. Sievers
    • Journal Title

      Proceedings of the International Symposium on Nonlinear Theory and its Applications

      Volume: 1 Pages: 330-333

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermally populated intrinsic localized modes in pure alkali halide crystals2013

    • Author(s)
      A. J. Sievers, M. Sato, J. B. Page, and T. Rössler
    • Journal Title

      Phys. Rev. B

      Volume: 88 Issue: 10

    • DOI

      10.1103/physrevb.88.104305

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 可飽和非線形格子に生じる局在励起のモード解析2016

    • Author(s)
      重翔馬、史偉華、石川達也、佐藤政行
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Linear response measurement of both a single and an array of cantilevers in a high amplitude nonlinear state2015

    • Author(s)
      M. Sato, Y. Sada, S. Shige and A. J. Sievers
    • Organizer
      NOLTA2015 proceedings pp.740-743
    • Place of Presentation
      Hong Kong
    • Year and Date
      2015-12-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Linear local modes produced by an intrinsic local mode in a saturable nonlinear lattice2015

    • Author(s)
      S. Shige, W. Shi, T. Ishikawa, T. Nakaguchi, M. Sato and A. J. Sievers
    • Organizer
      NOLTA2015 proceedings pp.797-800
    • Place of Presentation
      Hong Kong
    • Year and Date
      2015-12-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 格子中を走行する非線形局在励起の尾の問題2015

    • Author(s)
      中口貴裕, 石川達也, 重翔馬, 向出俊夫, 佐藤政行
    • Organizer
      物理学会北陸支部
    • Place of Presentation
      金沢大学
    • Year and Date
      2015-11-28
    • Related Report
      2015 Annual Research Report
  • [Presentation] Velocity Step FOR a Driven Intrinsic localized mode2015

    • Author(s)
      Masayuki Sato and A. J. Sievers
    • Organizer
      Workshop “Discrete Breathers in Crystals
    • Place of Presentation
      Ufa
    • Year and Date
      2015-09-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 格子中を走行する非線形局在励起の研究(II)2015

    • Author(s)
      石川達也,中口貴裕,重翔馬,向出俊夫,佐藤政行
    • Organizer
      日本物理学会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] 離散非線形Schrodinger系での局在励起の速度について2015

    • Author(s)
      重翔馬、高尾裕一、石川達也、中口貴裕、佐藤政行
    • Organizer
      日本物理学会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Intrinsic Localized Modes in Micro-Cantilever Arrays2015

    • Author(s)
      M. Sato
    • Organizer
      Nanomechanical systems: from new materials to new application
    • Place of Presentation
      済州島
    • Year and Date
      2015-07-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 格子中を走行する非線形局在励起の研究2015

    • Author(s)
      中口貴裕,石川達也,重翔馬,佐藤政行
    • Organizer
      日本物理学会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 電気格子系での非線形局在励起の幅変化現象の研究2014

    • Author(s)
      史偉華,重翔馬,長谷部紘明,佐藤政行
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Intrinsic Localized Mode in an Electric Lattice Containing MOS-Capacitors2013

    • Author(s)
      Weihua Shi, Shoma Shige, Hiroaki Hasebe, Masayuki Sato, A. J. Sievers
    • Organizer
      2013 International symposium on nonlinear theory and its applications
    • Place of Presentation
      Santa Fe, USA
    • Related Report
      2013 Research-status Report
  • [Remarks] 金沢大学自然科学研究科非線形物理研究室

    • URL

      http://nlab.w3.kanazawa-u.ac.jp/index.html

    • Related Report
      2015 Annual Research Report
  • [Remarks] 金沢大学非線形研究室ホームページ

    • URL

      http://nlab.w3.kanazawa-u.ac.jp/index2.html

    • Related Report
      2013 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2022-01-27  

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