Entropies need not to be concave

Details Entropies need not to be concave Entropies need not to be concave

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phla...78..219l&link_type=abstract

Physics Letters A, Volume 78, Issue 3, p. 219-220.

Physics

12

Scientific paper

It is shown that superadditivity and concavity imply homogeneity of
order one. Thus an entropy function which is not homogeneous can be
either superadditive or concave, but not both. It is argued that it is
the former condition which contains the essence of the second law, and
an application to black hole systems is pointed out.

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