  In previous works, we derived stationary density distribution functions (DDF)
where the local equilibrium is determined by imposing the maximum entropy
(MaxEnt) principle, under the scale invariance restrictions, and the minimum
entropy production theorem. In this paper we demonstrate that it is possible to
reobtain these DDF solely from the MaxEnt principle subject to suitable scale
invariant restrictions in all the variables. For the sake of concreteness, we
analyze the example of ohmic, fully ionized, tokamak-plasmas, in the
weak-collisional transport regime. In this case we show that it is possible to
reinterpret the stationary distribution function in terms of the Prigogine
distribution function where the logarithm of the DDF is directly linked to the
entropy production of the plasma. This leads to the suggestive idea that also
the stationary neoclassical distribution functions, for magnetically confined
plasmas in the collisional transport regimes, may be derived solely by the
MaxEnt principle.
