Reciprocity relations and generalized entropic quantifiers that lack trace-form

A. PLASTINO; A. R. PLASTINO; M. C. ROCCA

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2019 vol. 515 p. 346 - 354

0378-4371

In this effort we show that the Legendre reciprocity relations, thermodynamics? essential formal feature, are respected by any entropic functional, even if it is NOT of trace-form nature, as Shannon?s is.Further, with reference to the MaXent variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies.We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.