Over the non-extensivity parameter for some superadditives systems

This article proposes a biunivocal relationship between the non-extensivity parameter q and the stationary probability density function f corresponding to an observable u for some super-additive systems in which the Tsallis Entropy is applicable. This relationship is given in terms of comparison bet...

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Autores:
Borja–Tamayo, R.
Cartagena Marín, C.
Loaiza Ossa, Gabriel Ignacio
Molina Vélez, G.
Puerta Yepes, María Eugenia
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14495
Acceso en línea:
http://hdl.handle.net/10784/14495
Palabra clave:
Entropy
Non-Extensive Thermostat
Super-Additive Systems
Entropía
Termoestadística No Extensiva
Sistemas Super–Aditivos
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Acceso abierto
Description
Summary:This article proposes a biunivocal relationship between the non-extensivity parameter q and the stationary probability density function f corresponding to an observable u for some super-additive systems in which the Tsallis Entropy is applicable. This relationship is given in terms of comparison between link functions that characterize the lack of memory of certain random variables associated with the parameter q and the stationary density f. Finally, from the previous results, a method is proposed that allows the parameter q to be approximated, by an estimate of f, when the effective energy associated with u is the effective kinetic energy.