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When is a quantity additive, and when is it extensive?

arXiv:cond-mat/0201134 · doi:10.1016/S0378-4371(01)00644-6

Abstract

The difference between the terms additivity and extensivity, as well as their respective negations, is critically analyzed and illustrated with a few examples. The concepts of subadditivity, pseudo-additivity, and pseudo-extensivity are also defined.

Contribution to the Proceedings of the International School and Conference on Non-Extensive Thermodynamics and Physical Applications, Villasimius, Sardegna, Italy, May 2001. To be published in Physica A