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arXiv 0903.0105cond-mat.otherphysics.flu-dyn
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Turbulence的量子流体力学理论

Towards a Quantum Fluid Mechanical Theory of Turbulence

D. Drosdoff, A. Widom, J. Swain, Y. N. Srivastava, V. Parihar, S. Sivasubramanian

摘要:

最近对超流氦中湍流的研究表明,量子流体中的湍流服从柯尔莫哥洛夫标度律。这种定律以前被认为是运动的纳维-斯托克斯方程的经典解。所有流体中的湍流都是由于量子流体力学效应引起的。采用场论观点的流体流动速度,涡出现的量子力学弦。这反过来又直接导致充分发展的湍流的情况下的柯尔莫哥洛夫临界指数。

英文摘要:

Recent studies of turbulence in superfluid Helium indicate that turbulence in quantum fluids obeys a Kolmogorov scaling law. Such a law was previously attributed to classical solutions of the Navier-Stokes equations of motion. It is suggested that turbulence in all fluids is due to quantum fluid mechanical effects. Employing a field theoretical view of the fluid flow velocity, vorticity appears as quantum filamentary strings. This in turn leads directly to the Kolmogorov critical indices for the case of fully developed turbulence.

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