6 Numerical results of prompt loss of fast ions

The initial distribution function of fast ions are assumed to take the following form:

               (       )              (        )    (         2)
f(ψ,v,λ) = C exp −--ψ--  ---1----1erfc  v-−-vbirth  exp  − (λ−-λ0)  ,
                  ψscale  v3 + v3crit2       Δv              Δ2λ
(114)

where the constant C is set to achieve desired stored energy of energetic particles. Figure 27 plots the time evolution of the loss fraction due to the prompt loss (also called first orbit loss) in EAST#48916 at 4.6s.

 

 

 


pict

Figure 27: Time evolution of fast ions loss fraction in EAST discharge #48916 at 4.6s. Fast ions distribution function is given by Eq. (114).

dΓ = dV sdV v = RdRdZdϕ2πB
--
mdv

                                           --
-dΓ--  ---- --    -B---′     ---- --    ---B-----′     ---- --   -- -′ --
L3nv3n = RdRd Zdϕ2π mv2ndv∥dμ = RdRd Zdϕ2π mv2n∕Bn dv∥dμ = RdRd Zdϕ2πBd v∥dμ
(115)

Marker’s phase-space volume V j