Dissipation in quantum turbulence in superfluid 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>
 above 1 K

J. Gao, W. Guo, S. Yui, M. Tsubota, W. F. Vinen

doi:10.48550/arxiv.1804.01655

There are two commonly discussed forms of quantum turbulence in superfluid $^4$He above 1K: in one there is a random tangle of quantizes vortex lines, existing in the presence of a non-turbulent normal fluid; in the second there is a coupled turbulent motion of the two fluids, often exhibiting quasi-classical characteristics on scales larger than the separation between the quantized vortex lines in the superfluid component. The decay of vortex line density, $L$, in the former case is often described by the equation $dL/dt=-��_2 (��/2��)L^2$, where $��$ is the quantum of circulation, and $��_2$ is a dimensionless parameter of order unity. The decay of total turbulent energy, $E$, in the second case is often characterized by an effective kinematic viscosity, $��'$, such that $dE/dt=-��' ��^2 L^2$. We present new values of $��_2$ derived from numerical simulations and from experiment, which we compare with those derived from a theory developed by Vinen and Niemela. We summarise what is presently known about the values of $��'$ from experiment, and we present a brief introductory discussion of the relationship between $��_2$ and $��'$, leaving a more detailed discussion to a later paper.

11 pages, 12 figures

Dissipation in quantum turbulence in superfluid <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:mrow></mml:math> above 1 K

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収録刊行物

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