DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review E

A method of parity-time- (PT) symmetry analysis is introduced to study the high-dimensional, complicated parameter space of drift-wave instabilities. Here, we show that spontaneous PT-symmetry breaking leads to the ion temperature gradient 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.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1818873
Journal Information:
Physical Review E, Journal Name: Physical Review E Journal Issue: 1 Vol. 104; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (44)

Negative metric and the unitarity of the S-matrix journal February 1969
symmetry and necessary and sufficient conditions for the reality of energy eigenvalues journal April 2010
Suppressed ion-scale turbulence in a hot high-β plasma journal December 2016
Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian journal January 2002
Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum journal January 2002
Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries journal August 2002
Collisional Drift Waves—Identification, Stabilization, and Enhanced Plasma Transport journal January 1968
Amplitude Limitation of a Collisional Drift Wave Instability journal January 1971
Low-Frequency Stability of Nonuniform Plasmas journal January 1963
Universal Instability in Complex Field Geometries journal January 1965
Instabilities due to Temperature Gradients in Complex Magnetic Field Configurations journal January 1967
Beam envelope calculations in general linear coupled lattices journal January 2015
Spectral and structural stability properties of charged particle dynamics in coupled latticesa) journal May 2015
On the structure of the two-stream instability–complex G-Hamiltonian structure and Krein collisions between positive- and negative-action modes journal July 2016
Role of stable modes in driven shear-flow turbulence journal December 2018
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients journal February 2019
Kelvin-Helmholtz instability is the result of parity-time symmetry breaking journal March 2019
PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability journal January 2020
Gyrofluid turbulence models with kinetic effects journal March 1993
Dissipative universal instability due to trapped electrons in toroidal systems and anomalous diffusion journal January 1976
Gyrokinetic approach in particle simulation journal January 1983
Quantitative predictions of tokamak energy confinement from first‐principles simulations with kinetic effects journal June 1995
Large-scale gyrokinetic turbulence simulations: Effects of profile variation journal May 1999
Comparisons and physics basis of tokamak transport models and turbulence simulations journal March 2000
Electron temperature gradient driven turbulence journal May 2000
Trapped particles in toroidal magnetic systems journal January 1971
Microinstability theory in tokamaks journal August 1978
Theory of dissipative drift instabilities in sheared magnetic fields journal March 1979
Gyrokinetic simulations of ETG and ITG turbulence journal July 2007
Making sense of non-Hermitian Hamiltonians journal May 2007
Developments in the gyrofluid approach to Tokamak turbulence simulations journal August 1993
The physics of spontaneous parity-time symmetry breaking in the Kelvin–Helmholtz instability journal August 2020
Universal Instability for Wavelengths below the Ion Larmor Scale journal March 2015
Topological Gaseous Plasmon Polariton in Realistic Plasma journal May 2020
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability journal June 1990
Production and identification of the ion-temperature-gradient instability journal January 1991
Gyrokinetic simulation of ion temperature gradient driven turbulence in 3D toroidal geometry journal September 1993
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry journal June 1998
Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks journal January 1998
Electron Temperature Gradient Turbulence journal December 2000
Complex Extension of Quantum Mechanics journal December 2002
Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory journal April 2014
On Dirac's New Method of Field Quantization journal July 1943
Drift waves and transport journal April 1999