Trapping of Charged Particles by a Travelling Wave with Increasing Phase Velocity
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The number of charged particles which are trapped by an accelerated wave in a plasma is calculated on the basis of a simple model. It is assumed that particles move adiabatically in travelling mirrors of the form B(z)=B_0 {1+εcos k(z-v_<ph>(1+1/2ηt)t)} and that the initial velocity distribution is an isotropic Maxwellian. The ratio of the number of trapped particles to the total particle number is found to be R=((√<8>)/π)ε^<1/2>e^<-A>f(y) for ε<< 1,where A=mv_<ph>^2/2T, y=2ηA/εkv_<ph> and f(y) is a monotonically decreasing function of y (f(0)=1). The function f(y) is presented in a graph as well as a table. As an application of the formula, an estimation is made on the required RF power for sustaining the plasma current in Golovin's model of the Tokamak fusion reactor.
- 核融合科学研究所の論文
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