Sato M, Furusawa H, Sakai M, Soga Y, Sievers A J
Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.
Chaos. 2023 Jul 1;33(7). doi: 10.1063/5.0156547.
Mobile intrinsic localized modes (ILMs) in balanced nonlinear capacitive-inductive cyclic transmission lines are studied by experiment, using a spatiotemporal driver under damped steady-state conditions. Without nonlinear balance, the experimentally observed resonance between the traveling ILM and normal modes of the nonlinear transmission line generates lattice drag via the production of a lattice backwave. In our experimental study of a balanced running ILM in a steady state, it is observed that the fundamental resonance can be removed over extended, well-defined driving frequency intervals and strongly suppressed over the complete ILM driving frequency range. Because both of these nonlinear capacitive and inductive elements display hysteresis our observation demonstrates that the experimental system, which is only partially self-dual, is surprisingly tolerant, regarding the precision necessary to eliminate the ILM backwave. It appears that simply balancing the cell dual nonlinearities makes the ILM envelope shape essentially the same at the two locations in the cell, so that the effective lattice discreteness seen by the ILM nearly vanishes.
在阻尼稳态条件下，利用时空驱动器通过实验研究了平衡非线性电容 - 电感循环传输线中的移动本征局域模（ILM）。在没有非线性平衡的情况下，实验观察到移动ILM与非线性传输线的正常模式之间的共振通过产生晶格反向波产生晶格阻力。在我们对稳态下平衡运行的ILM的实验研究中，观察到在扩展的、明确界定的驱动频率区间内基本共振可以消除，并且在整个ILM驱动频率范围内受到强烈抑制。由于这些非线性电容和电感元件都显示出滞后现象，我们的观察表明，这个仅部分自对偶的实验系统对于消除ILM反向波所需的精度具有惊人的耐受性。似乎简单地平衡单元的对偶非线性会使ILM包络形状在单元中的两个位置基本相同，从而使ILM所看到的有效晶格离散性几乎消失。
