Analysis based on integral equation formalism in the ballooning space indic
ates that in toroidal geometry, extremely long-wavelength modes with the io
n finite Larmor radius parameter (k (perpendicular to) rho)(2) less than or
similar to O(10(-2)) and mode frequency of the order of the ion transit fr
equency can be strongly destabilized by a finite beta (the ratio of plasma
to magnetic pressure). In high beta regimes, a resultant mixing length ther
mal diffusivity is linearly proportional to beta.