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首页> 外文期刊>Physical review >Structure of a quantum vortex tangle in ~4He counterflow turbulence
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Structure of a quantum vortex tangle in ~4He counterflow turbulence

机译：〜4He逆流湍流中量子涡缠结的结构

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The paper presents a comprehensive characterization of well-developed vortex tangles in a turbulent counterflow in quantum fluids (with a laminar normal fluid component). We perform and analyze extensive numerical simulations using the vortex filament method, solving the full Biot-Savart equations for the vortex dynamics in a wide range of temperatures and counterflow velocities. We start with the analysis of the macroscopic characteristics of the quantum vortex tangle such as vortex line density, its mean anisotropic and curvature parameters, the mean friction force between normal and superfluid components, the drift velocity of the vortex tangle, etc. Next we proceed to the main goal of the paper and move from the traditional macroscopic approach in terms of mean characteristics of the vortex tangle to the microscopic statistical and kinetic levels of description of quantum turbulence. These include objects that are much less studied or even totally neglected such as the vortex reconnection rates, the correlations and probability distribution functions (PDFs) of the vortex loop lengths, of the line curvature, of the mean curvatures of individual loops, the cross-correlation function between the loop length and its mean curvature, and the autocorrelation function of the vortex-line orientations. This detailed statistical information is required for a deeper understanding of quantum turbulence and for the development of its advanced theoretical description. In addition, we identify which of the studied properties are strongly affected by the choice of the reconnection criteria that are traditionally used in the vortex filament method and which of them are practically insensitive to the reconnection procedure. We conclude that the vortex filament method is sufficiently robust and well-suited for the description of the steady-state vortex tangle in the quantum counterflow.
机译：本文介绍了在量子流体（具有层流法向流体分量）的湍流逆流中发达的涡流缠结的全面表征。我们使用涡旋丝方法进行并分析了广泛的数值模拟，解决了在各种温度和逆流速度下的涡旋动力学完整的Biot-Savart方程。我们首先分析量子涡旋缠结的宏观特征，例如涡旋线密度，其平均各向异性和曲率参数，法向和超流体分量之间的平均摩擦力，涡旋缠结的漂移速度等。接下来我们继续进行到本文的主要目标，并从传统的宏观方法转向涡流缠结的平均特性，再到描述量子湍流的微观统计和动力学水平。这些对象包括研究较少甚至完全被忽略的对象，例如涡旋重新连接率，涡旋环长度，线曲率，各个环的平均曲率，交叉线的相关性和概率分布函数（PDF）。环长度及其平均曲率之间的相关函数，以及涡旋线方向的自相关函数。需要更详细的统计信息才能更深入地了解量子湍流及其高级理论描述。此外，我们确定了哪些研究特性受到涡丝方法中传统使用的重新连接标准的选择的强烈影响，以及哪些对重新连接过程实际上不敏感。我们得出结论，涡旋丝方法足够健壮，非常适合描述量子逆流中的稳态涡流缠结。

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  • 来源
    《Physical review》 |2014年第1期|014502.1-014502.23|共23页
  • 作者

    Luiza Kondaurova; Victor Lvov; Anna Pomyalov; Itamar Procaccia;

  • 作者单位

    Institute of Thermophysics, Novosibirsk, Russia;

    Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel;

    Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel;

    Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel;

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