The hydrodynamics of rotating superfluids. I. Zero-temperature, nondissipative theory
The hydrodynamics of rotating superfluids. I. Zero-temperature, nondissipative theory
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旋转超流体的流体动力学。
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
E. Chandler
中科院分区：
文献类型：
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作者：
G. Baym;E. Chandler
这是我们在一系列论文中的第一篇，在这些论文中，我们考虑了涡旋格子的弹性效应，发展了旋转超流4He和其他标量有序参数超流体的完整流体动力学。该理论能够描述涡旋所表现出的长波Tkachenko剪切波，以及通常的Bekarevich-Khalatnikov流体力学中包含的所有现象。在本文中，我们发展了基本理论，忽略了流体的法向成分。用宏观平均超流体和涡旋线速度表示的守恒能量，包括与涡旋阵的剪切、压缩和线弯曲变形相关的弹性能量。推导了符合质量守恒定律、能量守恒定律和涡量守恒定律的三维流动的运动方程，研究了具有线弯曲的Tkachenko模式以及与小涡旋有效质量相关的惯性模式。在这一系列的第二篇论文中，我们将这种描述扩展到有限温度，以包括正常流体的动力学和耗散效应。
This is the first in a series of papers in which we develop the complete hydrodynamics of rotating superfluid4He, and other superfluids with scalar order parameters, taking into account the elasticity effects of the vortex lattice. The theory is capable of describing the long-wavelength Tkachenko shear waves exhibited by the vortices, as well as all phenomena contained in the usual Bekarevich-Khalatnikov hydrodynamics. In this paper we develop the basic theory, ignoring the normal component of the fluid. The conserved energy, written in terms of macroscopically averaged superfluid and vortex-line velocities, includes an elastic energy associated with shear, compressional, and line-bending deformations of the vortex array. Equations of motion for three-dimensional flow, consistent with the conservation laws for mass, energy, and vorticity, are derived; and Tkachenko modes with line bending, as well as inertial modes associated with the small vortex effective mass, are investigated. In the second paper of this series we extend this description to finite temperatures, to include dynamics of the normal fluid and dissipative effects.