Tsallis entropy and the Vlasov-Poisson equations

We revisit Tsallis Maximum Entropy Solutions to the Vlasov-Poisson Equation describing gravitational N-body systems. We review their main characteristics and discuss their relationship with other applications of Tsallis statistics to systems with long range interactions. In the following considerati...

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Autores principales: Plastino, Ángel Ricardo, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 1999
Materias:
Física
Astronomía
Poisson distribution
Special case
Tsallis entropy
Physics
Statistical physics
Gravitation
Three-dimensional space
Tsallis statistics
Space dimension
Principle of maximum entropy
Thermodynamics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122873
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122873
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Astronomía
Poisson distribution
Special case
Tsallis entropy
Physics
Statistical physics
Gravitation
Three-dimensional space
Tsallis statistics
Space dimension
Principle of maximum entropy
Thermodynamics
spellingShingle Física
Astronomía
Poisson distribution
Special case
Tsallis entropy
Physics
Statistical physics
Gravitation
Three-dimensional space
Tsallis statistics
Space dimension
Principle of maximum entropy
Thermodynamics
Plastino, Ángel Ricardo
Plastino, Ángel Luis
Tsallis entropy and the Vlasov-Poisson equations
topic_facet Física
Astronomía
Poisson distribution
Special case
Tsallis entropy
Physics
Statistical physics
Gravitation
Three-dimensional space
Tsallis statistics
Space dimension
Principle of maximum entropy
Thermodynamics
description We revisit Tsallis Maximum Entropy Solutions to the Vlasov-Poisson Equation describing gravitational N-body systems. We review their main characteristics and discuss their relationship with other applications of Tsallis statistics to systems with long range interactions. In the following considerations we shall be dealing witha D-dimensional space so as to be in a position to investigate possible dimensional dependences of Tsallis' parameter q. The particular and important case of the Schuster solution is studied in detail, and the pertinent Tsallis parameter q is given as a function of the space dimension. In the special case of three dimensional space we recover the value q = 7/9, that has already appeared in many applications of Tsallis' formalism involving long range forces.
format Articulo
Articulo
author Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_facet Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_sort Plastino, Ángel Ricardo
title Tsallis entropy and the Vlasov-Poisson equations
title_short Tsallis entropy and the Vlasov-Poisson equations
title_full Tsallis entropy and the Vlasov-Poisson equations
title_fullStr Tsallis entropy and the Vlasov-Poisson equations
title_full_unstemmed Tsallis entropy and the Vlasov-Poisson equations
title_sort tsallis entropy and the vlasov-poisson equations
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/122873
work_keys_str_mv AT plastinoangelricardo tsallisentropyandthevlasovpoissonequations
AT plastinoangelluis tsallisentropyandthevlasovpoissonequations
bdutipo_str Repositorios
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