Dissipation of Gross-Pitaevskii Turbulence Coupled with Thermal Excitations
Dissipation of Gross-Pitaevskii Turbulence Coupled with Thermal Excitations
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DOI：
10.1007/s10909-007-9384-z
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发表时间：
2007-06
影响因子：
2
通讯作者：
Michikazu Kobayashi;M. Tsubota
中科院分区：
文献类型：
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作者：
Michikazu Kobayashi;M. Tsubota
通过求解热激励的Gross-Pitaevskii方程和Bogoliubov-de-Gennes方程，对量子流体中量子化涡的微观耗散机制进行了数值研究。在低温下，耗散作用在比涡旋核心尺寸更小的尺度上，这支持了大尺度量子化涡旋的自相似级联过程和量子湍流的Kolmogorov能谱。另一方面，这种耗散在高温下扩展到更大的尺度，并直接影响涡旋动力学。高温下的耗散效应在性质上与超流体he中的相互摩擦相似。
Microscopic dissipation mechanism of quantized vortices in quantum fluid is studied numerically by solving the Gross-Pitaevskii equation coupled with the Bogoliubov-de-Gennes equation for thermal excitations. At low temperatures, dissipation works at smaller scales than the vortex core size, which supports the self-similar cascade process of quantized vortices at large scales and the Kolmogorov energy spectrum of quantum turbulence. On the other hand, this dissipation spreads to larger scales at high temperatures, and directly affects the vortex dynamics. This effect of dissipation at high temperatures is qualitatively similar to the mutual friction in superfluid4He.