Fisher-based thermodynamics: Its Legendre transform and concavity properties
- 1 July 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 60 (1) , 48-53
- https://doi.org/10.1103/physreve.60.48
Abstract
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.Keywords
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