Classical Instabilities of Conservative Systems are the Results of Parity-Time Symmetry Breaking
Speaker
Ruili Zhang
Beijing Jiaotong University
Time

2023-04-03 10:00 ~ 11:00, in a day (Asia/Shanghai Time)
Venue

理科群楼5号楼305
Abstract

We show that the governing equations of the classical two-fluid interaction, and the incompressible fluid system, the well-known Kelvin-Helmholtz equation and three-wave systems are all PT-symmetric. Because all PT-symmetric systems in finite dimensions are pseudo-Hermitian, it’s implied that the these instabilities are caused by Krein collision between two eigenmodes with different Krein signatures. In terms of physics, this rigorously implies that the system is destabilized when a positive-action mode resonates with a negative-action mode, and that this is the only mechanism by which the system can be destabilized. It is anticipated that this physical mechanism of destabilization is valid for other collective instabilities in conservative systems in plasma physics, accelerator physics, and fluid dynamics systems.
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