T. Cho et al., Generalization and consolidation of scaling laws of potential formation and associated effects in the GAMMA 10 tandem mirror, NUCL FUSION, 41(9), 2001, pp. 1161-1170
Generalized scaling laws for the formation of plasma confining potentials a
nd the associated effectiveness of the potentials produced are systematical
ly investigated to find the physics essentials common to the representative
tandem mirror operational modes of GAMMA 10, and to explore novel extended
operational modes from the scaling bases constructed. (a) The potential fo
rmation scalings are generalized using a novel finding of wider validity of
Cohen's strong ECH theory covering the representative modes. (b) The poten
tials produced, in turn, provide a favourable novel scaling of the increase
in the central cell electron temperatures T-e with increasing thermal barr
ier Potentials phi (b), limited by the available ECH power. The scaling of
T-e with phi (b) is well interpreted in terms of the generalized Pastukhov
theory of plasma potential confinement. A detailed comparison of the result
s from several related modified theories is also made. (c) Consolidation of
the two major scalings of (a) and (b) in a tandem mirror is carried out by
the use of an electron energy balance equation for the first time. In addi
tion, (d) an empirical scaling of phi (c) with ECH power in the plug region
and the central cell densities are studied to discover whether there is th
e possibility of extending these theoretically well interpreted scaling dat
a to parameters in the future scalable regime. There is also a discussion a
bout numerical scalings in the three dimensional parameter spaces.