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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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异常的结的 evanescent 语音子.

Yi Chen1,2, Jonathan L G Schneider3, Ke Wang3,4

  • 1Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany. yi.chen@partner.kit.edu.

Nature communications
|October 25, 2024
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概括

我们引入了结的 evanescent 波,这些波在弹性元材料中表现出很大的空间衰变长度. 这些波违反了圣维纳特原理,使其在远程机械传感中具有潜在的应用.

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科学领域:

  • 物理 物理学 物理
  • 材料科学 材料科学 材料科学
  • 固体力学 固体力学是什么

背景情况:

  • 发光波在波浪现象中无处不在,其特点是空间衰变.
  • 这些波通常以有限的频率进行研究,在时间和空间中表现出振荡.
  • 在零频率下, evanescent 波是消失的.
  • 结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结,结
  • 随着时间的推移,导致静态解决方案.

研究的目的:

  • 介绍并定义"结的 evanescent 波"作为在零固有频率的 eigensolutions.
  • 调查带结构最小值和结的 evanescent 声子之间的联系.
  • 探索在静态弹性中设计大衰变长度的潜力.

主要方法:

  • 在零固有频率下分析布洛赫周期问题.
  • 在复杂平面中利用考希-里曼方程,将带结构最小值与结的 evanescent 声子联系起来.
  • 将理论分析与实验验证相结合,用于有限大小的样本.

主要成果:

  • 结的 evanescent 波被确定为 Bloch 周期问题的静态自身解决方案.
  • 在带结构最小和结的 evanescent phonons之间建立了直接的联系.
  • 当带最小接近零时 (软模式) 实现了异常大的指数衰减长度.
  • 由于这些波的线性组合,在有限大小的样本中观察到干扰效应.

结论:

  • 结的 evanescent 波提供了一个机制,在静态弹性中设计大型特征性衰变长度.
  • 这些波的违反圣维纳特原理为远程机械传感开辟了可能性.
  • 理论和实验结果显示出极好的一致性,验证了这些发现.