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AbstractAbstract
[en] The analysis of the neoclassical orbits in the presence of the steep electrostatic potential typical for tokamak edge is performed. Standard approach implying (1) the series expansion of electrostatic potential, Φ, and (2) independence of particle trajectories on the radial electric field, Er, is valid only in the limited parameter range. In particular, for the parabolic profile strong influence of electrostatic potential on neoclassical trajectories was expected for S much-gt 1 (S=|1+(e/m)ωp-2d2Φ/dr2|, ωp=eBp/mc -- poloidal Larmor frequency) resulting in the squeezing of banana orbits by a factor S1/2. But at S≥1/4 var-epsilon this result is valid only in the vicinity of the potential extremum of the order of one banana orbit size δrb. Outside this region all the trajectories becomes passing and are squeezed stronger. The characteristic orbit width is inversely proportional to Er. For the arbitrary potential profile there are two condition of applicability of the standard approach, vE much-lt vo and δr much-lt Lφ, Lφ -- characteristic scale length of the electrostatic potential. Roughly these inequalities can be rewritten as follows ρp/Lφ much-lt W/eΦ much-lt 1/var-epsilon. For the conditions of tokamak plasma edge the applicability region of standard approach is relatively narrow. Therefore either left or right inequality are violated resulting in more complicated dependence of neoclassical trajectories on electrostatic potential. In the region of high electric field trajectories of low energy particles, W much-lt eΦ, are squeezed stronger than it was expected. Trajectories of higher energy particles, W≥eΦ, can be either squeezed or expanded depending on the whole profile Φ(r)
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Anon; 253 p; 1993; p. 3C10; Massachusetts Institute of Technology; Cambridge, MA (United States); International Sherwood fusion theory conference; Newport, RI (United States); 29-31 Mar 1993
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Book
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Conference
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