Collect. Czech. Chem. Commun. 1981, 46, 452-456

Complete monotonicity of entropy production in chemical reaction

Milan Šolc

Institute of Inorganic Chemistry, Czechoslovak Academy of Sciences, 160 00 Prague 6


The successive time derivatives of relative entropy and entropy production for a system with a reversible first-order reaction alternate in sign. It is proved that the relative entropy for reactions with an equilibrium constant smaller than or equal to one is completely monotonic in the whole definition interval, and for reactions with an equilibrium constant larger than one this function is completely monotonic at the beginning of the reaction and near to equilibrium.