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Fractal dimension of superfluid turbulence : A random-walk toy model

David JouDavid JouMichele SciaccaMaria Stella Mongiovì

subject

Physicsquantum vorticeToy modelTurbulenceApplied MathematicsRandom walkFractal dimensionSuperfluid turbulenceIndustrial and Manufacturing Engineeringsuperfluid turbulenceVortexTangleSuperfluidityrandom walkClassical mechanicsCondensed Matter::SuperconductivityBibliographyStatistical physicsQuantum vorticesRandom walksFractal dimensionSettore MAT/07 - Fisica Matematicafractal dimension.

description

This paper deals with the fractal dimension of a superfluid vortex tangle. It extends a previous model [J. Phys. A: Math. Theor. {\bf 43}, 205501 (2010)] (which was proposed for very low temperature), and it proposes an alternative random walk toy model, which is valid also for finite temperature. This random walk model combines a recent Nemirovskii's proposal, and a simple modelization of a self-similar structure of vortex loops (mimicking the geometry of the loops of several sizes which compose the tangle). The fractal dimension of the vortex tangle is then related to the exponents describing how the vortex energy per unit length changes with the length scales, for which we take recent proposals in the bibliography. The range between 1.35 and 1.75 seems the most consistent one.

yearjournalcountryeditionlanguage
2021-01-01
https://ddd.uab.cat/record/204055