The temporal evolution of linear toroidal ion temperature gradient (ITG) modes is studied based on a kinetic integral equation including an initial condition. It is shown how to evaluate the analytic continuation of the integral kernel as a function of a complex-valued frequency, which is useful for investigating the asymptotic damping behavior of the ITG mode. In the presence of the toroidal magnetic drift, the potential perturbation consists of normal modes and a continuum mode, which correspond to contributions from poles and from an integral along a branch cut, respectively, of the Laplace-transformed potential function of the frequency. The normal modes have exponential time dependence while the continuum mode, which has a ballooning structure, shows a power law decay ∝t−2, where t is the time variable. Therefore, the continuum mode dominantly describes the long-time asymptotic behavior of the perturbation for the stable system. By performing proper analytic continuation for the dispersion relation, ...

/pdf/damping-of-toroidal-ion-temperature-gradient-modes-154wwzii77.pdf

Damping of toroidal ion temperature gradient modes

A new kind of oscillatory steady state is discovered in observation of potential with a heavy ion beam probe in Compact Helical System Heliotron/Torsatron. Bulk plasma parameters, such as electron temperature and density profile, change being synchronized with the pulsation of potential. The phenomenon can be regarded as successive transitions between two bifurcative states of the plasma. The pulsation can be self-sustained and create a dynamic steady state in low density plasma with electron cyclotron heating. The cause of phenomenon is associated with the bifurcation nature of radial electric field, that is inherent with toroidal helical plasmas. This paper presents two examples of the phenomenon in different density regimes. Dependence of pulsation characteristics on several parameters is described. The bifurcation property predicted by a neoclassical theory is presented for comparison with the experimental observations.

/pdf/dynamic-behavior-associated-with-electric-field-transitions-28u8i1uwc1.pdf

Dynamic Behavior Associated with Electric Field Transitions in CHS Heliotron/Torsatron

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Dynamic Behavior Associated with Electric Field Transitions in CHS Heliotron/Torsatron