2009/10/20 by Q. A. Wang, Wang, Q. A., C. J. Ou +3
Physics and Astronomy · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0910.3826
arxiv created 2009/10/26 · arxiv updated 2009/12/01
This is a note showing that, contrary to our lasting belief, the nonadditivity X(1+2)=X(1)+X(2)+αX(1)X(2) is not a true physical property. αin 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.