748 research outputs found
Fluctuations, correlations and non-extensivity
The present status of investigations on fluctuations and correlations seen in
high energy multiparticle production processes made using the notion of
nonextensivity is reviewed.Comment: Minireview presented at XXXVI International Symposium on
Multiparticle Dynamica, September 2-8, 2006, Paraty (RJ), Brazil; to be
published in Braz. J. Phys. (2007). Some misprints correcte
Nonextensive quasiparticle description of QCD matter
The dynamics of QCD matter is often described using effective mean field (MF)
models based on Boltzmann-Gibbs (BG) extensive statistics. However, such matter
is normally produced in small packets and in violent collisions where the usual
conditions justifying the use of BG statistics are not fulfilled and the
systems produced are not extensive. This can be accounted for either by
enriching the original dynamics or by replacing the BG statistics by its
nonextensive counterpart described by a nonextensivity parameter (for
one returns to the extensive situation). In this work we investigate
the interplay between the effects of dynamics and nonextensivity. Since the
complexity of the nonextensive MF models prevents their simple visualization,
we instead use some simple quasi-particle description of QCD matter in which
the interaction is modelled phenomenologically by some effective fugacities,
. Embedding such a model in a nonextensive environment allows for a
well-defined separation of the dynamics (represented by ) and the
nonextensivity (represented by ) and a better understanding of their
relationship.Comment: Thorougly reworked version published in Symmetry 2019, 11(3), 401, as
contribution to the Special Issue Nambu--Jona-Lassinio model and its
applications; 22 pages, 7 figure
Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
We present a revisited version of the nonextensive QCD-based Nambu -
Jona-Lasinio (NJL) model describing the behavior of strongly interacting matter
proposed by us some time ago. As before, it is based on the nonextensive
generalization of the Boltzmann-Gibbs (BG) statistical mechanics used in the
NJL model to its nonextensive version based on Tsallis statistics, but this
time it fulfils the basic requirements of thermodynamical consistency.
Different ways in which this can be done, connected with different possible
choices of the form of the corresponding nonextensive entropies, are presented
and discussed in detail. The corresponding results are compared, discussed and
confronted with previous findings.Comment: 16 pages, 18 figures minor revision, to be published in EPJ
Tsallis Distribution Decorated With Log-Periodic Oscillation
In many situations, in all branches of physics, one encounters power-like
behavior of some variables which are best described by a Tsallis distribution
characterized by a nonextensivity parameter and scale parameter .
However, there exist experimental results which can be described only by a
Tsallis distributions which are additionally decorated by some log-periodic
oscillating factor. We argue that such a factor can originate from allowing for
a complex nonextensivity parameter . The possible information conveyed by
such an approach (like the occurrence of complex heat capacity, the notion of
complex probability or complex multiplicative noise) will also be discussed.Comment: 17 pages, 1 figure. The content of this article was presented by Z.
Wlodarczyk at the SigmaPhi2014 conference at Rhodes, Greece, 7-11 July 2014.
To be published in Entropy (2015
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