Fisher-based thermodynamics: Its Legendre transform and concavity properties
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.
- Publication:
-
Physical Review E
- Pub Date:
- July 1999
- DOI:
- 10.1103/PhysRevE.60.48
- Bibcode:
- 1999PhRvE..60...48F
- Keywords:
-
- 05.30.-d;
- 05.45.-a;
- Quantum statistical mechanics;
- Nonlinear dynamics and chaos