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Generalized molecular chaos hypothesis and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>theorem: Problem of constraints and amendment of nonextensive statistical mechanics
Quite unexpectedly, kinetic theory is found to specify the correct definition of average value to be employed in nonextensive statistical mechanics. It is shown that the normal average is consistent with the generalized Stosszahlansatz (i.e., molecular chaos hypothesis) and the associated $H$ theorem, whereas the $q$ average widely used in …