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Tsallis entropy and the Vlasov-Poisson equations

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dc.creator Plastino A. R.
dc.creator Plastino A.
dc.date 1999
dc.date.accessioned 2013-05-29T22:49:17Z
dc.date.available 2013-05-29T22:49:17Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100008
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=1&spage=79
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/2522
dc.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.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Tsallis entropy and the Vlasov-Poisson equations


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