<RESEARCH REPORT>Thermal Barrier Potential of a Tandem Mirror

概要

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The relation between the electrostatic potential and the low energy electron density under electron cyclotron resonance heating (ECRH) in the thermal barrier of a tandem mirror is investigated analytically and numerically. The distribution function of mirror trapped electrons at low energy is found to stretch out in the perpendicular direction to the magnetic field and to be well approximated by bi-Maxwellian (T_⊥≧T_∥) rather than by Maxwellian. Under the approximation it is found analytically that the conventional Boltzmann law for the barrier depth is modified to another expression including the ratio between T_⊥ and T_e (central cell electron temperature). The bounce-averaged Fokker-Planck simulations show that T_⊥/T_e itself is a function of the potential depth and that the Boltzmann law is modified to q(ℒ_b-ℒ_e)=T_eln(αn_c/n_b) with α=1.5∿1.8 depending on ECRH power. This expression agrees well with experimental results on GAMMA 10.
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