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How peaceful is the harmony of source and sink?

Friedrich, Thomas (2019): How peaceful is the harmony of source and sink?

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Abstract

The transfer space of a source and a sink is divided into 4 areas by two internal limits. These limits are benefit minus cost equals zero (b-c=0) in source and in sink. In area I source is cost dominated (bso-cso<0) and sink is benefit dominated (bsi-csi>0) and thus I consider this to be in principle a peaceful and harmonic area as a transfer is a win-win situation. In this investigation I observe very small transfers in area I and their changing distance to the limits b-c=0. When a series of consecutive small transfers in area I approaches the limit by decreasing substrate concentration in source and increasing substrate concentration in sink, the gain in superadditivity will become gradually smaller although the transfer size is constant. A master interested in constant superadditive net profit and unaware of the non-linear nature of the transfer space will interpret this as resistance of source and/or sink. He may use a counter force to increase again the output of superadditive net profit. Therefore, force and deception may appear already in the peaceful area of the transfer space with a basically peaceful master. A similar scenario develops with repeated transfers at a single concentration pair far away from the limits b-c=0 in a quickly regenerating ensemble where the concentrations in source and sink remain constant. Here, the limits b-c=0 either in source or in sink are set to change and approach the concentration where the transfer happens. The result is also a decrease in superadditivity which will again be felt only by the master interested in superadditive net profit. In symmetric ensembles area II and III are still superadditive next to area I. Real force and counterforce are necessary there. But this will not be felt as a sharp change as the transition and habituation begins already in area I.

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