Statistics of Lagrangian quantum turbulence

Beck, Christian and Miah, Shihan (2013) Statistics of Lagrangian quantum turbulence. Physical Review E, 87 (3). ISSN 1539-3755

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We consider the dynamics of small tracer particles in turbulent quantum fluids. The complicated interaction processes of vortex filaments, the quantum constraints on vorticity, and the varying influence of both the superfluid and the normal fluid on the tracer particle effectively lead to a superstatistical Langevin-like model that in a certain approximation can be solved analytically. An analytic expression for the probability density function of velocity
v of the tracer particle is derived that exhibits not only the experimentally observed v⁻³ tails but also the correct behavior near the center of the distribution, in excellent agreement with experimental measurements and numerical simulations. Our results are universal and do not depend on details of the quantum fluid.

Item Type: Article
Identifier: 10.1103/physreve.87.031002
Additional Information: ©2013 American Physical Society. Statistics of Lagrangian Quantum Turbulence, C. Beck and S. Miah, Phys. Rev. E 87, 031002 (2013).
Subjects: Mathematics
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Depositing User: Users 4141 not found.
Date Deposited: 11 Feb 2021 14:44
Last Modified: 06 Feb 2024 16:05

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