Density pattern in supercritical flow of liquid He-4

Details Density pattern in supercritical flow of liquid He-4 Density pattern in supercritical flow of liquid He-4

2004-12-06

arxiv.org/abs/cond-mat/0412137v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 6 figures. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.104530

A density functional theory is used to investigate the instability arising in superfluid $^4$He as it flows at velocity u just above the Landau critical velocity of rotons v_c. Confirming an early theoretical prediction by one of us [JETP Lett. 39, 511 (1984)], we find that a stationary periodic modulation of the density occurs, with amplitude proportional to (u-v_c)^{1/2} and wave vector equal to the roton wave vector. This density pattern is studied for supercritical flow both in bulk helium and in a channel of nanometer cross-section.

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