2009/09/07 by V. I. Kruglov, Kruglov, V. I.
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Meteorological Phenomena and Simulations #Methane Hydrates and Related Phenomena #Other Condensed Matter (cond-mat.other) #Quantum, superfluid, helium dynamics #Superconductivity (cond-mat.supr-con) #cond-mat.other #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.0909.1140
It is submitted to Physical Review Letters
arxiv created 2009/09/07 · openalex publication_date 2009/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two different types of transitions of the superfluid 4He to quantum turbulence regimes are studied for 1\rm D geometry in the case when the influence of the normal fluid on superfluid flow is suppressed. It is shown that the roton mechanism of transition to quantum turbulence leads to a critical velocity satisfying the relation vc∝ d-1/4. In the super-flow mechanism, the transition to quantum turbulence arises when the "quantum Reynolds number" is about 103 and the critical velocity depends on channel size d as vc∝ d-1 in agreement with the equations of motion for a superfluid component of the liquid 4He being disturbed by small fluctuations of the normal fluid.