76 research outputs found
Properties of hadronic systems according to the non-extensive self-consistent thermodynamics
The non-extensive self-consistent theory describing the thermodynamics of
hadronic systems at high temperatures is used to derive some thermodynamical
quantities, as pressure, entropy, speed of sound and trace-anomaly. The
calculations are free of fitting parameters, and the results are compared to
lattice QCD calculations, showing a good agreement between theory and data up
to temperatures around 175 MeV. Above this temperature the effects of a
singularity in the partition function at To = 192 MeV results in a divergent
behaviour in respect with the lattice calculation.Comment: 10 pages, 7 figures, text modified in a few aspects. The discussion
on the connections between non-extensive and lattice quantities is modified
by the inclusion of a new figur
Fractal aspects of hadrons
The non extensive aspects of distributions obtained in high energy
collisions are discussed in relation to possible fractal structure in hadrons,
in the sense of the thermofractal structure recently introduced. The evidences
of self-similarity in both theoretical and experimental works in High Energy
and in Hadron Physics are discussed, to show that the idea of fractal structure
of hadrons and fireballs have being under discussion for decades. The non
extensive self-consistent thermodynamics and the thermofractal structure allow
one to connect non extensivity to intermittence and possibly to parton
distribution functions in a single theoretical framework.Comment: 7 pages, ISMD2016 conferenc
Fractal structure of hadrons and non-extensive statistics
The role played by non-extensive thermodynamics in physical systems has been
under intense debate for the last decades. Some possible mechanisms that could
give rise to non-extensive statistics have been formulated along the last few
years, in particular the existence of a fractal structure in thermodynamic
functions for hadronic systems. We investigate the properties of such fractal
thermodynamical systems, in particular the fractal scale invariance is
discussed in terms of the Callan-Symanzik~equation. Finally, we propose a
diagrammatic method for calculations of relevant quantities.Comment: 5 pages, 2 figures. Presented by E.Megias at the QCD@Work:
International Workshop on QCD, 25-28 June 2018, Matera, Ital
Dynamics in fractal spaces
This study investigates the interconnections between the traditional
Fokker-Planck Equation (FPE) and its fractal counterpart (FFPE), utilizing
fractal derivatives. By examining the continuous approximation of fractal
derivatives in the FPE, it derives the Plastino-Plastino Equation (PPE), which
is commonly associated with Tsallis Statistics. This work deduces the
connections between the entropic index and the geometric quantities related to
the fractal dimension. Furthermore, it analyzes the implications of these
relationships on the dynamics of systems in fractal spaces. In order to assess
the effectiveness of both equations, numerical solutions are compared within
the context of complex systems dynamics, specifically examining the behaviours
of quark-gluon plasma (QGP). The FFPE provides an appropriate description of
the dynamics of fractal systems by accounting for the fractal nature of the
momentum space, exhibiting distinct behaviours compared to the traditional FPE
due to the system's fractal nature. The findings indicate that the fractal
equation and its continuous approximation yield similar results in studying
dynamics, thereby allowing for interchangeability based on the specific problem
at hand.Comment: 1 figure, 7 page
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