Fisher-based thermodynamics: its Legendre transform and concavity properties.
It is shown that the Legendre-transform structure of thermodynamics can be replicated without any change if one replaces the entropy S by Fisher's information measure I. Also, the important thermodynamic property of concavity is shown to be obeyed by I. By this use of the Fisher information measure we develop a thermodynamics that seems to be able to treat equilibrium and nonequilibrium situations in a manner entirely similar to the conventional one.
Frieden
B R
BR
Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA.
Plastino
A
A
Plastino
A R
AR
Soffer
B H
BH