2020
DOI: 10.1007/s10909-020-02483-6
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On the Closure Problem of the Coarse-Grained Hydrodynamics of Turbulent Superfluids

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Cited by 14 publications
(15 citation statements)
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“…The information needed to close the system is a model for the average dynamics of the quantized vortices [41], which can be specified by assuming a phenomenological relation of the type u…”
Section: Closure Of the Macroscopic Model: The Dynamics Of Vorticesmentioning
confidence: 99%
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“…The information needed to close the system is a model for the average dynamics of the quantized vortices [41], which can be specified by assuming a phenomenological relation of the type u…”
Section: Closure Of the Macroscopic Model: The Dynamics Of Vorticesmentioning
confidence: 99%
“…where f n ν is the macroscopic mutual friction. In the absence of turbulence, it is natural to identify the left-hand side with the Magnus force per unit volume (i.e., the Magnus force on a single vortex times the vortex density) and the right-hand side with some drag force per unit volume, see e.g., [9,14,27,41].…”
Section: The Argument For the Absence Of The Generalised Iordanskii Forcementioning
confidence: 99%
“…Proton, neutron and energy-momentum conservation produce 6 equations of motion, so that 3 additional equations are needed. The information needed to close the system is a model for the average dynamics of the quantized vortices [40], which can be specified by assuming a phenomenological relation of the type u…”
Section: Closure Of the Macroscopic Model: The Dynamics Of Vorticesmentioning
confidence: 99%
“…The pre-factors z (j) are kinetic coefficients which encode the microphysics into the PEVM, namely equation (39). We remark that the decomposition (40) is not an expansion of the total force f on a basis (for which just 4 linearly independent vectors would be enough, e.g. f (1) , f (3) , f (5) , f (7) ) but it is a subdivision of the total force into the elementary parts that the most generic microscopic model is expected to produce.…”
Section: Formulation Of the Phenomenological Equation Of Vortex Motio...mentioning
confidence: 99%
“…The observed temperature-independence of spectra is thus constraining for the delicate modeling of the small scales of quantum turbulence, in particular to develop mathematical closures for the continuous description of He-II (eg. see [31]).…”
mentioning
confidence: 96%