大規模非線形格子の実験的研究

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Author: 佐藤, 政行ほか

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Publication date: 2016-06-13

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Note (General)：: 金沢大学理工研究域数物科学系非線形格子に生じる非線形局在励起(Intrinsic Localized Mode, ILM)の移動や走行を妨げる２つの問題、パイエルス・ナバロ（PN）ポテンシャルと、余分な尾を励起するテイル発生について２つの研究を行った。PNポテンシャルについては、過飽和非線形格子を実...

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Material Type: 文書・図像類
Title: 大規模非線形格子の実験的研究
Author/Editor: 佐藤, 政行
Sato, Masayuki
Author Heading: 佐藤, 政行
Sato, Masayuki
Publication Date: 2016-06-13
Publication Date (W3CDTF): 2016-06-13
Alternative Title: Experimental Study of Intrinsic Localized modes in Large Scale Nonlinear Lattices
Periodical title: 平成27(2015)年度科学研究費補助金基盤研究(C) 研究成果報告書 = 2015 Fiscal Year Final Research Report
No. or year of volume/issue: 2013-04-01 - 2016-03-31
Volume: 2013-04-01 - 2016-03-31
Pages: 6p.-
Text Language Code: jpn
Subject Heading: 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
Target Audience: 一般
Note (General): 金沢大学理工研究域数物科学系
非線形格子に生じる非線形局在励起(Intrinsic Localized Mode, ILM)の移動や走行を妨げる２つの問題、パイエルス・ナバロ（PN）ポテンシャルと、余分な尾を励起するテイル発生について２つの研究を行った。PNポテンシャルについては、過飽和非線形格子を実験的に作成し、非線形性の飽和時に生じる幅変化分岐時にPNポテンシャルが０になることを線形スペクトル測定法にて確かめた。定常走行時に発生する尾は、非線形力のフーリエ成分が分散関係と交差するところでフォノンを共鳴励起することで生じる。２種類の非線形力の合成で交点での非線形力を０にすることで尾の発生を抑えられることを見つけた。
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.
研究課題/領域番号:25400394, 研究期間(年度):2013-04-01 - 2016-03-31
DOI: 10.24517/00052887
Access Restrictions: 限定公開
Related Material: https://kaken.nii.ac.jp/search/?qm=00266925
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400394/
https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-25400394/25400394seika/
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 金沢大学 : 金沢大学学術情報リポジトリKURA