Zeroth Law compatibility of non-additive thermodynamics

Details Zeroth Law compatibility of non-additive thermodynamics Zeroth Law compatibility of non-additive thermodynamics

2011-01-31

arxiv.org/abs/1102.0536v2

Physical Review E, 2011, 83, 061187

Physics

General Physics

18 pages, 1 figure

Scientific paper

10.1103/PhysRevE.83.061147

Non-extensive thermodynamics was criticized among others by stating that the Zeroth Law cannot be satisfied with non-additive composition rules. In this paper we determine the general functional form of those non-additive composition rules which are compatible with the Zeroth Law of thermodynamics. We find that this general form is additive for the formal logarithms of the original quantities and the familiar relations of thermodynamics apply to these. Our result offers a possible solution to the longstanding problem about equilibrium between extensive and non-extensive systems or systems with different non-extensivity parameters.

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