Vortex stretching as a mechanism for quantum kinetic energy decay.
Vortex stretching as a mechanism for quantum kinetic energy decay.
复制标题
涡旋拉伸作为量子动能衰减的机制。
DOI：
10.1103/physrevlett.106.224501
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发表时间：
2011
影响因子：
8.6
通讯作者：
Robert McDougall Kerr
中科院分区：
文献类型：
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作者：
Robert McDougall Kerr
利用三维Gross-Pitaevskii方程模拟了一对受扰动的反平行量子涡旋，结果表明，涡旋拉伸是不稳定的。这导致动能K（λ）被转换成相互作用能E（I），并最终导致局部动能耗尽，这类似于经典流体中的能量衰减，即使控制方程是哈密顿的和能量守恒的。中间阶段包括涡波的产生、加深、多重重连、涡环和声子的发射，以及在高波数下产生约-5/3的动能谱。所有的波的产生和重连步骤都是由两个原始涡之间的相互作用引起的。给出了一个四涡的例子，以证明这些步骤中的一些可能是通用的。
A pair of perturbed antiparallel quantum vortices, simulated using the three-dimensional Gross-Pitaevskii equations, is shown to be unstable to vortex stretching. This results in kinetic energy K(∇ψ) being converted into interaction energy E(I) and eventually local kinetic energy depletion that is similar to energy decay in a classical fluid, even though the governing equations are Hamiltonian and energy conserving. The intermediate stages include the generation of vortex waves, their deepening, multiple reconnections, the emission of vortex rings and phonons, and the creation of an approximately -5/3 kinetic energy spectrum at high wave numbers. All of the wave generation and reconnection steps follow from interactions between the two original vortices. A four vortex example is given to demonstrate that some of these steps might be general.