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

E. Heifetz, L. R.M. Maas

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number031708
JournalPhysics of Fluids
Volume33
Issue number3
DOIs
StatePublished - 1 Mar 2021

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