Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866909374721556480 |
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| author | Qin, Hong Zhang, Ruili Glasser, Alexander S. Xiao, Jianyuan |
| author_facet | Qin, Hong Zhang, Ruili Glasser, Alexander S. Xiao, Jianyuan |
| contents | 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. 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1810_11460 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Kelvin-Helmholtz instability is the result of parity-time symmetry breaking Qin, Hong Zhang, Ruili Glasser, Alexander S. Xiao, Jianyuan Fluid Dynamics Mathematical Physics Plasma Physics Quantum Physics 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. 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. |
| title | Kelvin-Helmholtz instability is the result of parity-time symmetry breaking |
| topic | Fluid Dynamics Mathematical Physics Plasma Physics Quantum Physics |
| url | https://arxiv.org/abs/1810.11460 |