Reciprocity relations between ordinary temperature and the Frieden-Soffer Fisher temperature.
Frieden and Soffer conjectured some years ago [Phys. Rev. E 52, 2274 (1995)] the existence of a "Fisher temperature" T(F) that would play, with regards to Fisher's information measure I , the same role that the ordinary temperature T plays in relation to Shannon's logarithmic measure. Here we exhibit the existence of reciprocity relations between T(F) and T and provide an interpretation with reference to the meaning of T(F) for the canonical ensemble.
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National University La Plata and Argentina's CONICET, C.C. 727, 1900 La Plata, Argentina.
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