  The theory of passive scalar transport in two dimensional turbulent fluids is
generalized to the case of 2D MHD. Invariance of the cross correlation of
scalar concentration and magnetic potential produces a novel contribution to
the concentration flux. This pinch effect is proportional to the mean potential
gradient, and is shown to drastically reduce transport of the passive scalar
across the mean magnetic field when . Transport parallel to the mean magnetic
field is unchanged. Implications for models of transport in turbulent
magnetofluids are discussed.
  PAC NOS. 47.25.Jn, 47.65.+a
