Electron heat transport in a Tokamak with destroyed magnetic surfaces

Physics

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Electron Energy, Heat Transfer, Magnetic Field Configurations, Thermal Conductivity, Tokamak Devices, Electron Scattering, Magnetohydrodynamic Stability, Perturbation Theory, Stochastic Processes, Thermal Diffusion, Transport Theory

Scientific paper

Electron heat transport due to parallel thermal conductivity in a Tokamak with destroyed magnetic surfaces is considered. The discussion is restricted to static magnetic perturbations, and the most important geometric characteristics of a braided magnetic field are reviewed using the example of a magnetic configuration in cylindrical geometry. Area mapping to determine whether magnetic surfaces exist is described, destroyed magnetic surfaces are defined in terms of the irregularity of mapping, and the evolution of an area is outlined for the case of high stochasticity with dense rational surfaces. Electron heat transport in a braided magnetic field is then investigated, and the radial electron thermal conductivity is determined in the collisionless and collisional limits. Some implications of assuming that observed energy losses result from magnetic braiding are examined, and the thermal diffusion coefficient is inferred. It is concluded that if the perturbed magnetic fields are caused by microinstabilities on the scale of an ion gyroradius, fields of an amplitude sufficient to explain the observed energy losses by stochastic diffusion would also be sufficient to produce stochasticity.

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