On the transition of a non-equilibrium system to an equilibrium system

It is shown that the most important feature of Non-Equilibrium Thermodynamics is not the entropy production, but the organization of the currents in order to flow. This is also needed to obtain the maximum entropy in the equilibrium state, as is required by Equilibrium Thermodynamics. This article is supplemented with comments by Hong Qian and Yves Pomeau and a final reply by the author