The second law is the law of the total entropy production, the total entropy production diS always increases monotonically, i.e. diS≥0, but the partial differential of diS could be less than zero, and the orders originate from the partial differential of diS could be less than zero?
https://www.researchgate.net/publication/236983852_arXiv1201.4284v4
Data Internal Heat Energy, Entropy and The Second Law: A New Pers...