81 research outputs found
About an alternative distribution function for fractional exclusion statistics
We show that it is possible to replace the actual implicit distribution
function of the fractional exclusion statistics by an explicit one whose form
does not change with the parameter . This alternative simpler
distribution function given by a generalization of Pauli exclusion principle
from the level of the maximal occupation number is not completely equivalent to
the distributions obtained from the level of state number counting of the
fractional exclusion particles. Our result shows that the two distributions are
equivalent for weakly bosonized fermions () at not very high
temperatures.Comment: 8 pages, 3 eps figures, TeX. Nuovo Cimento B (2004), in pres
How to proceed with nonextensive systems at equilibrium?
In this paper, we show that 1) additive energy is not appropriate for
discussing the validity of Tsallis or R\'enyi statistics for nonextensive
systems at meta-equilibrium; 2) -body systems with nonadditive energy or
entropy should be described by generalized statistics whose nature is
prescribed by the existence of thermodynamic stationarity. 3) the equivalence
of Tsallis and R\'enyi entropies is in general not true.Comment: 14 pages, TEX, no figur
About "On certain incomplete statistics" by Lima et al
Lima et al recently claim that ({\em Chaos, Solitons & Fractals,}
2004;19:1005)the entropy for the incomplete statistics based on the
normalization should be instead
of initially proposed by Wang. We indicate here that
thisconclusion is a result of erroneous use of temperature definition for the
incompletestatistics
Fractal geometry, information growth and nonextensive thermodynamics
This is a study of the information evolution of complex systems by
geometrical consideration. We look at chaotic systems evolving in fractal phase
space. The entropy change in time due to the fractal geometry is assimilated to
the information growth through the scale refinement. Due to the incompleteness
of the state number counting at any scale on fractal support, the incomplete
normalization is applied throughout the paper, where is the
fractal dimension divided by the dimension of the smooth Euclidean space in
which the fractal structure of the phase space is embedded. It is shown that
the information growth is nonadditive and is proportional to the trace-form
which can be connected to several nonadditive
entropies. This information growth can be extremized to give power law
distributions for these non-equilibrium systems. It can also be used for the
study of the thermodynamics derived from Tsallis entropy for nonadditive
systems which contain subsystems each having its own . It is argued that,
within this thermodynamics, the Stefan-Boltzmann law of blackbody radiation can
be preserved.Comment: Final version, 10 pages, no figures, Invited talk at the
international conference NEXT2003, 21-28 september 2003, Villasimius
(Cagliari), Ital
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