Search results for "Quantum vortices"

showing 4 items of 4 documents

Second sound near lambda transition in presence of quantum vortices

2018

In this paper, temperature waves (also known as second sound) are consid- ered, with their respective coupling with waves in the order parameter describing the transition from normal phase to superfluid phase, and with waves in the vortex length density. We analyze the coupling between these three kinds of waves and explore its relevance in situations not far from the lambda transition. In particular, the expres- sions for the second sound speed and second sound attenuation are explicitly obtained within some approximations, showing the influence of the order parameter and the vortex length density, which is decisive close to the transition.

PhysicsCouplingApplied MathematicsGeneral MathematicsAttenuation010102 general mathematicsPhase (waves)Lambda transition01 natural sciences010305 fluids & plasmasVortexSuperfluidityQuantum electrodynamics0103 physical sciencesSecond sound0101 mathematicsQuantumSettore MAT/07 - Fisica MatematicaSecond sound Lambda phase transition Superfluid helium Quantum vortices
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Fractal dimension of superfluid turbulence : A random-walk toy model

2021

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 pr…

Physicsquantum vorticeToy modelTurbulenceApplied MathematicsRandom walkFractal dimensionSuperfluid turbulenceIndustrial and Manufacturing Engineeringsuperfluid turbulenceVortexTangleSuperfluidityrandom walkClassical mechanicsCondensed Matter::SuperconductivityBibliographyStatistical physicsQuantum vorticesRandom walksFractal dimensionSettore MAT/07 - Fisica Matematicafractal dimension.
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Waves Propagation in Superfluid Helium in Presence of Combined Rotation and Counterflow

2008

Using the linear macroscopic mono-fluid model of liquid helium II, in which the fundamental fields are the density ?, the velocity v, the temperature T and heat flux q and taking into account the expression of an additional pressure tensor P(w), introduced to describe phenomena linked to vortices, a complete study of wave propagation is made in the complex situation involving thermal counterflow in a rotating cylinder.

Physics::Fluid Dynamicsquantum vorticesSuperfluid heliumlcsh:Science (General)lcsh:Q1-390
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Vortex line density in plane Couette flow in superfluid helium

2009

quantum vortices coflow counterflowSettore MAT/07 - Fisica Matematica
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