Fisher and Shannon Functionals for Hyperbolic Diffusion.

Cáceres, Manuel O; Nizama, Marco; Pennini, Flavia

Cáceres, Manuel O; Nizama, Marco; Pennini, Flavia.

Afiliação

Cáceres MO; Comision Nacional de Energia Atomica, Centro Atomico Bariloche and Instituto Balseiro, Universidad Nacional de Cuyo, Av. E. Bustillo 9500, Bariloche CP 8400, Argentina.
Nizama M; CONICET, Centro Atomico Bariloche, Av. E. Bustillo 9500, Bariloche CP 8400, Argentina.
Pennini F; Departamento de Fisica, Facultad de Ingenieria and CONICET, Universidad Nacional del Comahue, Neuquen CP 8300, Argentina.

Entropy (Basel) ; 25(12)2023 Dec 06.

Article em En | MEDLINE | ID: mdl-38136508

ABSTRACT

ABSTRACT

The complexity measure for the distribution in space-time of a finite-velocity diffusion process is calculated. Numerical results are presented for the calculation of Fisher's information, Shannon's entropy, and the Cramér-Rao inequality, all of which are associated with a positively normalized solution to the telegrapher's equation. In the framework of hyperbolic diffusion, the non-local Fisher's information with the x-parameter is related to the local Fisher's information with the t-parameter. A perturbation theory is presented to calculate Shannon's entropy of the telegrapher's equation at long times, as well as a toy model to describe the system as an attenuated wave in the ballistic regime (short times).

Palavras-chave

Cramer-Rao bound; Fisher information; Shannon entropy; hyperbolic diffusion; telegrapher's equation

Texto completo

Adicionar na Minha BVS

Imprimir

XML

PubMed Links

Buscar no Google

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Entropy (Basel) Ano de publicação: 2023 Tipo de documento: Article País de afiliação: Argentina País de publicação: Suíça

Texto completo

Adicionar na Minha BVS

Imprimir

XML

PubMed Links

Buscar no Google