A general thermodynamic concept is presented for a synthetic system in which thermal reservoirs are connected through a non-linear system of mutual interaction, and of which entropy will increase at a possible maximum rate. Consequently, Paltridge's suggestion on maximum entropy increase by turbulent heat transport in the earth's climate system, as well as Malkus-Howard-Busse's suggestion on maximum energy dissipation in turbulent flows, is found to be rigorously explained by the single thermodynamic concept.

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