Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities

Abstract

A method of Parity-Time (PT)-symmetry analysis is introduced to study the high dimensional, complicated parameter space of drift wave instabilities. We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG) instability of drift waves, and the collisional instability is the result of explicit PT-symmetry breaking. A new unstable drift wave induced by finite collisionality is identified. It is also found that gradients of ion temperature and density can destabilize the ion cyclotron waves when PT symmetry is explicitly broken by a finite collisionality.

References in corpus (16)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
• Universal instability for wavelengths below the ion Larmor scale
• Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
• Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory
• Role of stable modes in driven shear-flow turbulence
• On the structure of the two-stream instability -- complex G-Hamiltonian structure and Krein collisions between positive- and negative-action modes
• A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
• Spectral and structural stability properties of charged particle dynamics in coupled lattices

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• The impact of magnetic fields on momentum transport and saturation of shear-flow instability by stable modes
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Quantum Instability
• Resonant instabilities mediated by drag and electrostatic interactions in laboratory and astrophysical dusty plasmas
• Wave Topology in Hall MHD