Non-modal theory of the kinetic ion temperature gradient driven instability of plasma shear flows across the magnetic field
The temporal evolution of the kinetic ion temperature gradient driven instability and of the related anomalous transport of the ion thermal energy of plasma shear flow across the magnetic field is investigated analytically. This instability develops in a steady plasma due to the inverse ion Landau damping and has the growth rate of the order of the frequency when the ion temperature is equal to or above the electron temperature. The investigation is performed employing the non-modal methodology of the shearing modes which are the waves that have a static spatial structure in the frame of the background flow. The solution of the governing linear integral equation for the perturbed potential displays that the instability experiences the non-modal temporal evolution in the shearing flow during which the unstable perturbation becomes very different from a canonical modal form. It transforms into the non-modal structure with vanishing frequency and growth rate with time. The obtained solution of the nonlinear integral equation, which accounts for the random scattering of the angle of the ion gyro-motion due to the interaction of ions with ensemble of shearing waves, reveals similar but accelerated process of the transformations of the perturbations into the zero frequency structures. It was obtained that in the shear flow the anomalous ion thermal conductivity decays with time. It is a strictly non-modal effect, which originates from the temporal evolution of the shearing modes turbulence.
- OSTI ID:
- 22598975
- Journal Information:
- Physics of Plasmas, Vol. 23, Issue 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
DISTURBANCES
ELECTRON TEMPERATURE
ELECTRONS
INSTABILITY
INTEGRAL EQUATIONS
INTEGRALS
ION TEMPERATURE
IONS
LANDAU DAMPING
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA
RANDOMNESS
SCATTERING
SHEAR
TEMPERATURE GRADIENTS
THERMAL CONDUCTIVITY
TRANSPORT THEORY
TURBULENCE