Statistical Properties of Lagrangian Trajectories of Small Particles in Superfluid 4He

Liquid helium undergoes a phase change to become superfluid at a temperature of 2.17 K. By analyzing the Lagrangian trajectories of small particles in thermal counterflow, Kubo and Tsuji (J Low Temp Phys 196:170–176, 2019) studied the Hurst exponent H of particle trajectories. In this paper, we sepa...

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Published in:Journal of low temperature physics 2022-09, Vol.208 (5-6), p.402-409
Main Authors: Chen, Lizhu, Maruyama, Takumi, Tsuji, Yoshiyuki
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Condensed Matter Physics
Counterflow
Fluid dynamics
Fluid flow
Fluids
Liquid helium
Low temperature physics
Magnetic Materials
Magnetism
Particle trajectories
Physics
Physics and Astronomy
Superfluidity
Trajectory analysis
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Maruyama, Takumi
Tsuji, Yoshiyuki
description Liquid helium undergoes a phase change to become superfluid at a temperature of 2.17 K. By analyzing the Lagrangian trajectories of small particles in thermal counterflow, Kubo and Tsuji (J Low Temp Phys 196:170–176, 2019) studied the Hurst exponent H of particle trajectories. In this paper, we separate the particle trajectories into superfluid and normal fluid flows and study the effect of bath temperature. It is found that the displacements of particles, following superfluid vortices, are close to linear in time on short time scales. However, after some migration time, the displacements exhibit a fractal property with an exponent H of approximately 0.6.
doi_str_mv 10.1007/s10909-022-02691-2
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subjects Characterization and Evaluation of Materials
Condensed Matter Physics
Counterflow
Fluid dynamics
Fluid flow
Fluids
Liquid helium
Low temperature physics
Magnetic Materials
Magnetism
Particle trajectories
Physics
Physics and Astronomy
Superfluidity
Trajectory analysis
title Statistical Properties of Lagrangian Trajectories of Small Particles in Superfluid 4He
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