A new scaling of the poloidal plasma beta with the bootstrap fraction is derived for a steady-state tokamak. In this derivation, the seed current profile is specified, but no assumptions are made regarding the functional form of the total current profile. The scaling, which holds for a wide class of density and temperature profiles, exhibits a quadratic dependence of the poloidal beta on the bootstrap fraction. The effects of the ionic charge and unequal electron and ion temperatures are considered.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes