Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations

Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations

In employing MaxEnt, a crucial role is assigned to the reciprocity relations that relate the quantifier to be extremized (Shannon’s entropy S), the Lagrange multipliers that arise during the variational process, and the expectation values that constitute the a priori input information. We review her...

Full description

Bibliographic Details
Main Authors: Montserrat Casas, Felipe Olivares, Angelo Plastino, Silvana Flego
Format: Article
Language:English
Published: MDPI AG 2011-01-01
Series:Entropy
Subjects:
Fisher information
thermodynamic
MaxEnt
reciprocity relations
Online Access:http://www.mdpi.com/1099-4300/13/1/184/
Description
Summary:In employing MaxEnt, a crucial role is assigned to the reciprocity relations that relate the quantifier to be extremized (Shannon’s entropy S), the Lagrange multipliers that arise during the variational process, and the expectation values that constitute the a priori input information. We review here just how these ingredients relate to each other when the information quantifier S is replaced by Fisher’s information measure I. The connection of these proceedings with thermodynamics constitute our physical background.
ISSN:1099-4300

Similar Items