A new self-consistent approach of quantum turbulence in superfluid helium

Galantucci, Luca; Baggaley, Andrew W.; Barenghi, Carlo F.; Krstulovic, Giorgio

doi:10.1140/epjp/s13360-020-00543-0

Cited by 32 publications

(42 citation statements)

References 92 publications

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“…Microscopically, this assumption does not hold. Recent studies [31][32][33][34] have shown that the normal fluid profile is nontrivially modulated by the presence of quantized vortices, through mutual friction on the scale of the intervortex distance. However, in the analysis below, we consider only the macroscopic vortex bundle structure that develops in the macroscopic steady normal flow; a study of the characteristic small-scale structures that emerge due to coupled dynamics remains future work to be dealt with.…”

Section: Bundle Formation In Region IImentioning

confidence: 99%

Bathtub vortex in superfluid He4

2020

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We have investigated the structure of macroscopic suction flows in superfluid 4 He. In this study, we primarily analyze the structure of the quantized vortex bundle that appears to play an important role in such systems. Our study is motivated by a series of recent experiments conducted by a research group at Osaka City University [Yano et al., J. Phys.: Conf. Ser. 969, 012002 (2018)]; they created a suction vortex using a rotor in superfluid 4 He. They also reported that up to 10 4 quantized vortices accumulated in the central region of the rotating flow. The quantized vortices in such macroscopic flows are assumed to form a bundle structure; however, the mechanism has not yet been fully investigated. Therefore, we prescribe a macroscopic suction flow to the normal fluid and discuss the evolution of a giant vortex (i.e., one with a circulation quantum number exceeding unity) and a bundle of singly quantized vortices from a small number of seed vortices. Then, using numerical simulations, we discuss several possible characteristic structures of the bundle in such a flow, and we suggest that the actual steady-state bundle structure in the experiment can be verified by measuring the diffusion constant of the vortex bundle after the macroscopic normal flow has been switched off. By applying extensive knowledge of the superfluid 4 He system, we elucidate a type of macroscopic superfluid flow and identify a structure of quantized vortices.

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Section: Bundle Formation In Region IImentioning

confidence: 99%

Bathtub vortex in superfluid He4

2020

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“…The relation (20) produces three (and only three) differential equations that provide a closure to the system. Too see this, let us insert (20) into the first equation in (14), which gives a condition of the type…”

Section: Closure Of the Macroscopic Model: The Dynamics Of Vorticesmentioning

confidence: 99%

“…and provide a closure to the system. In fact, a delicate point in the construction of a model for macroscopic superfluid hydrodynamics is the derivation from microphysics of a prescription for (20), which may be extracted from simulations of the average velocity of an ensemble of vortex lines (see e.g., [20] for 4 He case, or [14] for a neutron star application). This should be done by solving a "force balance equation" for every vortex in a fluid element (i.e., by requiring that the forces acting on the single vortices vanish [6,7,9]), as will be further discussed in Section 3.…”

Section: Closure Of the Macroscopic Model: The Dynamics Of Vorticesmentioning

confidence: 99%

“…However, these are not all independent, since the normalization condition u ν v u vν = −1 can be used to write Γ v in terms of the two remaining coefficients. Therefore, we have converted the problem of determining the law (20) into the search for a formula for the 2 coefficients u (J) v and D. Instead of using u (J) v and D, it is more convenient to express (24) by means of two rescaled kinetic coefficients / α and / β, that will be referred to as HVBK coefficients and are defined as u…”

Section: Geometric Decomposition Of the Vortex Velocitymentioning

confidence: 99%

“…Furthermore, we also aim to discuss in a fully relativistic setting the relationship between the dissipative behavior of the macroscopic HVKB two-fluid model and the most general Phenomenological Equation for Vortex Motion (PEVM), which expresses the balance of all the lift and drag forces acting on a vortex. The PEVM provides a closure of the hydrodynamic system (see e.g., [20] for the case of 4 He) by defining the form of the vortex mediated mutual friction [9,13,14].…”

Section: Introductionmentioning

confidence: 99%

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Superfluid Dynamics in Neutron Star Crusts: The Iordanskii Force and Chemical Gauge Covariance

Gavassino¹,

Antonelli²,

Haskell³

2021

Universe

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We present a geometrical derivation of the relativistic dynamics of the superfluid inner crust of a neutron star. The resulting model is analogous to the Hall-Vinen-Bekarevich-Khalatnikov hydrodynamics for a single-component superfluid at finite temperature, but particular attention should be paid to the fact that some fraction of the neutrons is locked to the motion of the protons in nuclei. This gives rise to an ambiguity in the definition of the two currents (the normal and the superfluid one) on which the model is built, a problem that manifests itself as a chemical gauge freedom of the theory. To ensure chemical gauge covariance of the hydrodynamic model, the phenomenological equation of motion for a quantized vortex should contain an extra transverse force, that is the relativistic version of the Iordanskii force discussed in the context of superfluid Helium. Hence, we extend the mutual friction model of Langlois et al. (1998) to account for the possible presence of this Iordanskii-like force. Furthermore, we propose that a better understanding of the (still not completely settled) controversy around the presence of the Iordanskii force in superfluid Helium, as well as in neutron stars, may be achieved by considering that the different incompatible results present in the literature pertain to two, opposite, dynamical regimes of the fluid system.

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Mutual Friction in Bosonic Superfluids: A Review

Sergeev

2023

J Low Temp Phys

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Mutual friction caused by scattering of thermal excitations by quantized vortices is a phenomenon of key importance for the understanding of vortex dynamics and quantum turbulence in finite-temperature superfluids. The article reviews theoretical, numerical, and experimental results obtained during the last 40 years in the study of mutual friction in bosonic superfluids such as $$^4$$ 4 He and Bose–Einstein condensates. Among several research topics reviewed in this article particular attention is paid to the development of theory and numerical analysis of roton-vortex interactions and mutual friction in superfluid helium; an application of the two-fluid model for the analysis of the flow in the vicinity of the vortex core and the calculation of the longitudinal and transverse forces exerted on a vortex; vortex diffusivity in $$^4$$ 4 He films; and theoretical, numerical, and experimental studies of thermal dissipation and mutual friction in finite-temperature Bose–Einstein condensates.

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A new self-consistent approach of quantum turbulence in superfluid helium

Cited by 32 publications

References 92 publications

Bathtub vortex in superfluid He4

Bathtub vortex in superfluid He4

Superfluid Dynamics in Neutron Star Crusts: The Iordanskii Force and Chemical Gauge Covariance

Mutual Friction in Bosonic Superfluids: A Review

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