Kelvin-Helmholtz instability is the result of parity-time symmetry breaking

Qin, Hong; Zhang, Ruili; Glasser, Alexander S.; Xiao, Jianyuan

doi:10.1063/1.5088498

Title: Kelvin-Helmholtz instability is the result of parity-time symmetry breaking

Abstract

Parity-Time (PT)-symmetry is being actively investigated as a fundamental property of observables in quantum physics. We show that the governing equations of the classical two-fluid interaction and the incompressible fluid system are PT-symmetric, and the well-known Kelvin-Helmholtz instability is the result of spontaneous PT-symmetry breaking. It is expected that all classical conservative systems governed by Newton's law admit PT-symmetry, and the spontaneous breaking thereof is a generic mechanism for classical instabilities. Here discovering the PT-symmetry of systems in fluid dynamics and plasma physics and identifying the PT-symmetry breaking responsible for instabilities enable new techniques to classical physics and enrich the physics of PT-symmetry.

Authors:

^[1];

^[2];

^[3]; Xiao, Jianyuan ^[4]

Princeton Univ., Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China)
Beijing Jiaotong Univ., Beijing (China)
Princeton Univ., Princeton, NJ (United States)
Univ. of Science and Technology of China, Hefei (China)

Publication Date:: Mon Mar 04 00:00:00 EST 2019

Research Org.:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1511479

Grant/Contract Number:: NSFC-11575186; 2017LH002; AC02-09CH11466

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 26; Journal Issue: 3; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats


                    Qin, Hong, Zhang, Ruili, Glasser, Alexander S., and Xiao, Jianyuan. Kelvin-Helmholtz instability is the result of parity-time symmetry breaking.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5088498.

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                    Qin, Hong, Zhang, Ruili, Glasser, Alexander S., & Xiao, Jianyuan. Kelvin-Helmholtz instability is the result of parity-time symmetry breaking.  United States.  https://doi.org/10.1063/1.5088498

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                    Qin, Hong, Zhang, Ruili, Glasser, Alexander S., and Xiao, Jianyuan. Mon .  
"Kelvin-Helmholtz instability is the result of parity-time symmetry breaking".  United States.  https://doi.org/10.1063/1.5088498.  https://www.osti.gov/servlets/purl/1511479.

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@article{osti_1511479,

  title        = {Kelvin-Helmholtz instability is the result of parity-time symmetry breaking},

  author       = {Qin, Hong and Zhang, Ruili and Glasser, Alexander S. and Xiao, Jianyuan},

  abstractNote = {Parity-Time (PT)-symmetry is being actively investigated as a fundamental property of observables in quantum physics. We show that the governing equations of the classical two-fluid interaction and the incompressible fluid system are PT-symmetric, and the well-known Kelvin-Helmholtz instability is the result of spontaneous PT-symmetry breaking. It is expected that all classical conservative systems governed by Newton's law admit PT-symmetry, and the spontaneous breaking thereof is a generic mechanism for classical instabilities. Here discovering the PT-symmetry of systems in fluid dynamics and plasma physics and identifying the PT-symmetry breaking responsible for instabilities enable new techniques to classical physics and enrich the physics of PT-symmetry.},

  doi          = {10.1063/1.5088498},

  journal      = {Physics of Plasmas},

  number       = 3,

  volume       = 26,

  place        = {United States},

  year         = {Mon Mar 04 00:00:00 EST 2019},

  month        = {Mon Mar 04 00:00:00 EST 2019}

}

Copy to clipboard

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Works referencing / citing this record:

PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
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Zhang, Ruili; Qin, Hong; Xiao, Jianyuan
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Title: Kelvin-Helmholtz instability is the result of parity-time symmetry breaking

Abstract

Citation Formats

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$P T$ -Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems
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Twofold transition in $PT$ -symmetric coupled oscillators
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Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
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Stabilizing and destabilizing perturbations of PT -symmetric indefinitely damped systems
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Systems of coupled $PT$ -symmetric oscillators
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Exceptional points of non-Hermitian operators
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On the structure of the two-stream instability–complex G-Hamiltonian structure and Krein collisions between positive- and negative-action modes
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Experimental study of active LRC circuits with $PT$ symmetries
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Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
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Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instabilities
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