A density functional theory was used to investigate the instability arising in superfluid 4He as it flows at velocity just above the Landau critical velocity of rotons . It is found that a stationary periodic modulation of the density occurs, with amplitude proportional to and wave vector equal to the roton-wave vector. This density pattern was studied for supercritical flow both in bulk helium and in a channel of nanometer cross-section.%一种密度泛函理论用来研究当4He超流体流速u超过朗道临界流速vc时的不稳定性.发现有稳定的周期性密度波出现,其振幅正比于(u-vc)1/2,其波矢与旋子波矢一致.同时对纳米管道内氦流体进行了计算.
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