Abstract
The pressure anisotropy is calculated for a plasma in a bumpy cylindrical magnetic field in the low collisionality (banana) regime for small magnetic-field modulations (ϵ≡ΔB∕2B⪡1). Solutions are obtained by integrating the drift-kinetic equation along field lines in steady state. A closure for the local value of the parallel viscous force B∙∇∙Π‖ is then calculated and is shown to exceed the flux-surface-averaged parallel viscous force ⟨B∙∇∙Π‖⟩ by a factor of O(1∕ϵ). A high-frequency limit (ω⪢ν) for the pressure anisotropy is also determined and the calculation is then extended to include the full frequency dependence by using an expansion in Cordey eigenfunctions.
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