超固体中激发模的产生效应
Generation Efficiencies for Propagating Modes in a Supersolid
摘要:
利用Andreev和Lifshitz的超固体流体力学,我们得到了在非零外加压力$P_{a}$(固体4 He所必需的)下传播的纵模,以及它们通过加热器和换能器的产生效率。对于小的$P_{a}$,固体产生内部压力$P \sim P_{a}^2$。该理论具有来自晶格和内部压力$P$的应力贡献。由于两种类型的应力都包括在内,所以简正模态分析与以前的工作不同。毫不奇怪,换能器在产生弹性波方面明显更有效,并且加热器在产生第四声波方面明显更有效。我们认为系统是各向同性的,这应该适用于玻璃态或由许多微晶组成的系统;结果也应该适用于单晶hcp 4 He。
英文摘要:
Using Andreev and Lifshitz's supersolid hydrodynamics, we obtain the propagating longitudinal modes at non-zero applied pressure $P_{a}$ (necessary for solid 4He), and their generation efficiencies by heaters and transducers. For small $P_{a}$, a solid develops an internal pressure $P \sim P_{a}^2$. This theory has stress contributions both from the lattice and an internal pressure $P$. Because both types of stress are included, the normal mode analysis differs from previous works. Not surprisingly, transducers are significantly more efficient at producing elastic waves and heaters are significantly more efficient at producing fourth sound waves. We take the system to be isotropic, which should apply to systems that are glassy or consist of many crystallites; the results should also apply, at least qualitatively, to single-crystal hcp 4He.
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