This work is an analysis of an ion turbulence in a tokamak in the case
where the thermal flux is fixed and the temperature profile is allowe
d to fluctuate. The system exhibits some features of self-organized cr
itical systems. In particular, avalanches are observed. Also the frequ
ency spectrum of the thermal flux exhibits a structure similar to the
one of a sand pile automaton, including a 1/f behavior. However, the t
ime average temperature profile is found to be supercritical, i.e., th
e temperature gradient stays above the critical value. Moreover, the h
eat diffusivity is not the same for a turbulence calculated at fixed f
lux than at fixed temperature gradient, with the same time averaged te
mperature. More precisely the diffusivity at fixed temperature is foun
d to be larger in the edge and smaller close to the heat source. (C) 1
998 American Institute of Physics.