On the problem of the minimum entropy production in the nonequilibrium stationary state

This study presents a critical review of the Prigogine minimum entropy production principle. The minimum entropy production implies the stationary state of the nonequilibrium system and vica versa: the stationary state of the system implies the minimum entropy production. It was shown that the extension of the principle to the so-called integral case is devoid of this property and, therefore, is less interesting in practical and theoretical terms.