Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature

Details Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature

2004-07-05

arxiv.org/abs/cond-mat/0407110v1

Physics

Condensed Matter

Statistical Mechanics

3 pages, no figures

Scientific paper

10.1103/PhysRevE.71.047102

Frieden and Soffer conjectured some years ago 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 vis-a-vis 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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