The q-nonadditivity of nonextensive statistics is not a true physical property

Details The q-nonadditivity of nonextensive statistics is not a true physical property The q-nonadditivity of nonextensive statistics is not a true physical property

2009-10-20

arxiv.org/abs/0910.3826v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

This is a note showing that, contrary to our lasting belief, the nonadditivity X(1+2)=X(1)+X(2)+\alpha X(1)X(2) is not a true physical property. \alpha in this expression cannot be unique for a given system. It unavoidably depends on how one mathematically divides the system and cannot be used to characterize nonadditivity. As a matter of fact, its use is mathematically inconsistent.

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