Abstract
Initiated from Graham's and Landauer's criticism, we discuss the problem of applicable range and practical value of the Glansdorff-Prigogine criterion and of the theorem of minimum entropy production in this paper. We point out that the Glansd-orff-Prigogine criterion as a thermodynamic theory is rigorous, but in the practical problem of many variables, it has no applicable value. And, the applicable range of the theorem of minimum entropy production is much smaller than that of other theorem's in the linear non-equilibrium thermodynamics, therefore, to use it as a principle is not adequate. But landauer's criticism about the theorem of minimum entropy production is wrong.
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