Extreme Fisher Information, Non-Equilibrium Thermodynamics and Reciprocity Relations

Entropy

Silvana Flego¹  Felipe Olivares²  Angelo Plastino¹ 

[1] Instituto de Fisica (IFLP), Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina; E-Mail:;Departamento de Fisica, Universidad Nacional de La Plata, Fac. Ciencias Exactas, C.C. 67, 1900 La Plata, Argentina; E-Mail:

关键词: Fisher information;    thermodynamic;    MaxEnt;    reciprocity relations;   

DOI  :  10.3390/e13010184

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2011 by the authors; licensee MDPI, Basel, Switzerland.