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Fermi liquid theory applied to vibrating wire measurements in 3~He-4~He mixtures

机译:费米液体理论应用于3〜He-4〜He混合物中的振弦测量

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摘要

We use Fermi liquid theory to study the mechanical impedance of 3~He-4~He mixtures at low temperatures. The theory is applied to the case of vibrating wires, immersed in the liquid. We present numerical results based on a direct solution of the Landau-Boltzmann equation for the 3He quasiparticle distribution for the full scale of the quasiparticle mean-free path . The two-fluid nature of mixtures is taken into account in the theory, and the effect of Fermi liquid interactions and boundary conditions are studied in detail. The results are in fair quantitative agreement with experimental data. In particular, we can reproduce the anomalous decrease in inertia, observed in vibrating wire experiments reaching the ballistic limit. The essential effect of the experimental container and second-sound resonances is demonstrated.
机译:我们用费米液体理论研究了3〜He-4〜He混合物在低温下的机械阻抗。该理论适用于浸入液体中的振动线的情况。我们基于3He准粒子分布的Landau-Boltzmann方程的直接解给出了数值结果,表示了整个准粒子无均值路径。理论中考虑了混合物的双流体性质,并详细研究了费米液体相互作用和边界条件的影响。结果与实验数据完全吻合。特别是,我们可以重现在振动线实验中达到弹道极限的惯性异常减小。实验容器和第二声共鸣的本质效果得到了证明。

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  • 来源
    《Physical review》 |2011年第22期|p.224521.1-224521.14|共14页
  • 作者单位

    Department of Physics, P. 0. Box 3000, University ofOulu, Fl-90014 Oulu, Finland;

    Department of Physics, P. 0. Box 3000, University ofOulu, Fl-90014 Oulu, Finland;

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