TY - JOUR

T1 - Velocity spectra of superfluid turbulence

AU - Kivotides, D.

AU - Vassilicos, C. J.

AU - Samuels, D. C.

AU - Barenghi, C. F.

PY - 2002/3/15

Y1 - 2002/3/15

N2 - 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.

AB - 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.

KW - vortices and turbulence

KW - hydrodynamic aspects of superfluidity

UR - http://www.scopus.com/inward/record.url?scp=0036340263&partnerID=8YFLogxK

U2 - 10.1209/epl/i2002-00588-3

DO - 10.1209/epl/i2002-00588-3

M3 - Article

AN - SCOPUS:0036340263

VL - 57

SP - 845

EP - 851

JO - EPL: A Letters Journal Exploring the Frontiers of Physics

JF - EPL: A Letters Journal Exploring the Frontiers of Physics

SN - 0295-5075

IS - 6

ER -