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≡ΔB2B≪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 (1ε). A high-frequency limit (ω≫v) 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.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics