TY - JOUR
T1 - A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves
AU - Sciacca, M.
AU - Mongiovì, M. S.
AU - Jou, D.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - The interaction between vortex-density waves and high-frequency second sound in counterflow superfluid turbulence is examined, incorporating diffusive and elastic contributions of the vortex tangle. The analysis is based on a set of evolution equations for the energy density, the heat flux, the vortex line density, and the vortex flux, the latter being considered here as an independent variable, in contrast to previous works. The latter feature is crucial in the transition from diffusive to propagative behavior of vortex-density perturbations, which is necessary to interpret the details of high-frequency second sound. © 2007 Elsevier Ltd. All rights reserved.
AB - The interaction between vortex-density waves and high-frequency second sound in counterflow superfluid turbulence is examined, incorporating diffusive and elastic contributions of the vortex tangle. The analysis is based on a set of evolution equations for the energy density, the heat flux, the vortex line density, and the vortex flux, the latter being considered here as an independent variable, in contrast to previous works. The latter feature is crucial in the transition from diffusive to propagative behavior of vortex-density perturbations, which is necessary to interpret the details of high-frequency second sound. © 2007 Elsevier Ltd. All rights reserved.
KW - Liquid Helium II
KW - Non-equilibrium thermodynamics
KW - Second sound
KW - Superfluid turbulence
KW - Vortex waves
UR - https://www.scopus.com/pages/publications/43449133554
U2 - 10.1016/j.mcm.2007.09.007
DO - 10.1016/j.mcm.2007.09.007
M3 - Article
SN - 0895-7177
VL - 48
SP - 206
EP - 221
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
ER -