Peculiarities of some classical variational treatments using the maximum entropy principle



Título del documento: Peculiarities of some classical variational treatments using the maximum entropy principle
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000460982
ISSN: 0035-001X
Autores: 1
1
Instituciones: 1Universidad Nacional de La Plata, Departamento de Física, Buenos Aires. Argentina
2Universidad Nacional de La Plata, Departamento de Matemática, Buenos Aires. Argentina
3Consejo Nacional de Investigaciones Científicas y Técnicas, La Plata, Buenos Aires. Argentina
4Ecole Polytechnique Federale de Lausanne, Lausana, Vaud. Suiza
Año:
Periodo: Nov-Dic
Volumen: 64
Número: 6
Paginación: 603-607
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés We study some peculiarities of the classical variational treatment that applies Jaynes’ maximum entropy principle. The associated variational treatment is usually called MaxEnt. We deal with it in connection with thermodynamics’ reciprocity relations. Two points of view are adopted: (A) One of them is purely abstract, concerned solely with ascertaining compliance of the variational solutions with the reciprocity relations in which one does not need here to have explicit values for the Lagrange multipliers. The other, (B) is a straightforward variation process in which one explicitly obtains the specific values of these multipliers. We focus on the so called q-entropy because it illustrates a situation in which the above two approaches yield different results. We detect an information loss in extracting the explicit form of the normalization-associated Lagrange multipliers
Disciplinas: Física y astronomía
Palabras clave: Física,
Entropía Tsallis,
MaxEnt,
Tratamientos variables,
Relaciones recíprocas
Keyword: Physics,
Tsallis-entropy,
MaxEnt,
Variational treatments,
Reciprocity relations
Texto completo: Texto completo (Ver HTML) Texto completo (Ver PDF)