Zero absolute vorticity state in thermal equilibrium as a hydrodynamic analog of the quantum harmonic oscillator ground state

Here, we point out on an intriguing mapping between the quantum harmonic oscillator ground state and the zero absolute vorticity plane Couette flow of a Boltzmann-like density distributed ideal gas in thermal equilibrium. The mapping is obtained when the gas is embedded in a rotating frame whose rot...

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Bibliographic Details
Published in:Physics of fluids (1994) 2021-03, Vol.33 (3)
Main Authors: Heifetz, E., Maas, L. R. M.
Format: Article
Language:English
Subjects:
Couette flow
Fluid dynamics
Ground state
Harmonic oscillators
Ideal gas
Mapping
Physics
Vorticity
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Summary:Here, we point out on an intriguing mapping between the quantum harmonic oscillator ground state and the zero absolute vorticity plane Couette flow of a Boltzmann-like density distributed ideal gas in thermal equilibrium. The mapping is obtained when the gas is embedded in a rotating frame whose rotation rate is equal to half of the frequency of the quantum harmonic oscillator.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0047620