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arXiv physics/0501091physics.flu-dyn
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自由表面上流体动力学模的限制及其量子模拟

Confinement of hydrodynamic modes on a free surface and their quantum analogs

M. Torres, J. P. Adrados, P. Cobo, A. Fernandez, C. Guerrero, G. Chiappe, E. Louis, J. A. Miralles, J. A. Verges, J. L. Aragon

摘要:

本文提出了一种将流体动力学模态限制在流体自由表面上的方法。该实验由一个方形容器与浸没的方形中心井垂直振动,使在容器边界处的弯月面产生的表面波干扰的束缚态的井。这是量子阱的经典类比,其中一些基本现象,例如状态的键合以及自由波和束缚态之间的干涉,可以可视化和控制。上述干扰导致了一种新的流体动力学从准周期到周期模式的转变。紧束缚的数值计算表明,我们的结果可以转移到设计量子限制显示电子准周期表面态及其有理逼近的第一次。

英文摘要:

A subtle procedure to confine hydrodynamic modes on the free surface of a fluid is presented here. The experiment consists of a square vessel with an immersed square central well vibrating vertically so that the surface waves generated by the meniscus at the vessel boundary interfere with the bound states of the well. This is a classical analogy of a quantum well where some fundamental phenomena, such as bonding of states and interference between free waves and bound states, can be visualized and controlled. The above mentioned interference leads to a novel hydrodynamic transition from quasiperiodic to periodic patterns. Tight binding numerical calculations are performed here to show that our results could be transferred to design quantum confinements exhibiting electronic quasiperiodic surface states and their rational approximants for the first time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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