Experimental Study of Intrinsic Localized modes in Large Scale Nonlinear Lattices

2015 Fiscal Year Final Research Report

• Project/Area Number: 25400394
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kanazawa 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
• 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

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.

Free Research Field

非線形物理学