Transport barriers and transitions between modes of low and high confi
nement in tokamak plasmas are often attributed to suppression of turbu
lence by a shear flaw related to a plasma gradient, e.g., of density.
However, such shear flow is also affected by the second derivative of
density. When this is introduced there is no unique relation between f
lux and gradient-it depends on the source distribution within the plas
ma and on conditions at the plasma edge (e.g., imposed by the scrape-o
ff layer). This edge gradient must lie within prescribed limits if a s
tationary plasma profile (which may include an improved confinement zo
ne) is to exist.