Peculiarities of some classical variational treatments using the maximum entropy principle



Document title: Peculiarities of some classical variational treatments using the maximum entropy principle
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000460982
ISSN: 0035-001X
Authors: 1
1
Institutions: 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
Year:
Season: Nov-Dic
Volumen: 64
Number: 6
Pages: 603-607
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Disciplines: Física y astronomía
Keyword: Física,
Entropía Tsallis,
MaxEnt,
Tratamientos variables,
Relaciones recíprocas
Keyword: Physics,
Tsallis-entropy,
MaxEnt,
Variational treatments,
Reciprocity relations
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