### Abstract

We study numerically statistics of superfluid turbulence. We generate a quantized superfiuid vortex tangle driven by a realistic model of normal-fluid turbulence whose energy spectrum obeys Kolmogorov's classical k-5/3 law, where k is the wave number. We find that the resulting superfluid velocity spectrum has approximately a k-1 -dependence for wave numbers of the order of 1/δ and larger, where δ is the average intervortex spacing. This result is similar to what happens in a pure superflow. We also find that the spectrum of the total velocity field follows the classical k-5/3 law, even at temperatures low enough that the normal-fluid mass is only 5% of the total helium mass. We discuss our assumptions and results in view of recent experiments.

Original language | English |
---|---|

Pages (from-to) | 845-851 |

Number of pages | 7 |

Journal | EPL: A Letters Journal Exploring the Frontiers of Physics |

Volume | 57 |

Issue number | 6 |

DOIs | |

Publication status | Published - 15 Mar 2002 |

### Keywords

- vortices and turbulence
- hydrodynamic aspects of superfluidity

## Cite this

*EPL: A Letters Journal Exploring the Frontiers of Physics*,

*57*(6), 845-851. https://doi.org/10.1209/epl/i2002-00588-3