Maximun entropy principle and classical evolution equation with source terms

We devise a maximum entropy technique to construct (approximate) time-dependent solutions to evolution equations endowed with source terms and, consequently, not preserving normalization. In some special cases the method yields exact solutions. It is shown that the present implementation of the maxi...

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Detalles Bibliográficos
Autores: Schönfeldt, J-H., Jimenez, N., Plastino, Ángel Ricardo, Casas, M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/42012
Acceso en línea:http://hdl.handle.net/11336/42012
Access Level:acceso abierto
Palabra clave:Maximum Entropy
Ttime-Dependent Solutions
Evolution Equations
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario:We devise a maximum entropy technique to construct (approximate) time-dependent solutions to evolution equations endowed with source terms and, consequently, not preserving normalization. In some special cases the method yields exact solutions. It is shown that the present implementation of the maximum entropy prescription always (even in the case of approximate solutions) preserves the exact functional relationship between the time derivative of the entropy and the timedependent solutions of the evolution equation. Other properties of the maximum entropy solutions and some illustrative examples are also discussed.