TY - JOUR

T1 - Nonuniform quantum turbulence in superfluids

AU - Nemirovskii, Sergey K.

N1 - Publisher Copyright: © 2018 American Physical Society.

PY - 2018/4/12

Y1 - 2018/4/12

N2 - The problem of quantum turbulence in a channel with an inhomogeneous counterflow of superfluid turbulent helium is studied. The counterflow velocity Vnsx(y) along the channel is supposed to have a parabolic profile in the transverse direction y. Such statement corresponds to the recent numerical simulation by Khomenko et al. [Phys. Rev. B 91, 180504 (2015)PRBMDO1098-012110.1103/PhysRevB.91.180504]. The authors reported about a sophisticated behavior of the vortex-line density (VLD) L(r,t), different from L∞Vnsx(y)2, which follows from the straightforward application of the conventional Vinen theory. It is clear that Vinen theory should be refined by taking into account transverse effects, and the way it ought to be done is the subject of active discussion in the literature. In this work, we discuss several possible mechanisms of the transverse flux of VLD L(r,t) which should be incorporated in the standard Vinen equation to describe adequately the inhomogeneous quantum turbulence. It is shown that the most effective among these mechanisms is the one that is related to the phase-slippage phenomenon. The use of this flux in the modernized Vinen equation corrects the situation with an unusual distribution of the vortex-line density, and satisfactorily describes the behavior L(r,t) both in stationary and nonstationary situations. The general problem of the phenomenological Vinen theory in the case of nonuniform and nonstationary quantum turbulence is thoroughly discussed.

AB - The problem of quantum turbulence in a channel with an inhomogeneous counterflow of superfluid turbulent helium is studied. The counterflow velocity Vnsx(y) along the channel is supposed to have a parabolic profile in the transverse direction y. Such statement corresponds to the recent numerical simulation by Khomenko et al. [Phys. Rev. B 91, 180504 (2015)PRBMDO1098-012110.1103/PhysRevB.91.180504]. The authors reported about a sophisticated behavior of the vortex-line density (VLD) L(r,t), different from L∞Vnsx(y)2, which follows from the straightforward application of the conventional Vinen theory. It is clear that Vinen theory should be refined by taking into account transverse effects, and the way it ought to be done is the subject of active discussion in the literature. In this work, we discuss several possible mechanisms of the transverse flux of VLD L(r,t) which should be incorporated in the standard Vinen equation to describe adequately the inhomogeneous quantum turbulence. It is shown that the most effective among these mechanisms is the one that is related to the phase-slippage phenomenon. The use of this flux in the modernized Vinen equation corrects the situation with an unusual distribution of the vortex-line density, and satisfactorily describes the behavior L(r,t) both in stationary and nonstationary situations. The general problem of the phenomenological Vinen theory in the case of nonuniform and nonstationary quantum turbulence is thoroughly discussed.

KW - HE-II

KW - VORTEX TANGLE

KW - HELIUM-II

KW - DYNAMICS

KW - COUNTERFLOW

KW - VORTICES

KW - IMPULSE

UR - http://www.scopus.com/inward/record.url?scp=85045419022&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.97.134511

DO - 10.1103/PhysRevB.97.134511

M3 - Article

AN - SCOPUS:85045419022

VL - 97

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 13

M1 - 134511

ER -