Fractal aspects of hadrons

Deppman, A.; Megías, Eugenio

doi:10.1051/epjconf/201714101011

Cited by 9 publications

(11 citation statements)

References 55 publications

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“…Only recently has a connection between the experimental evidence of self-similarity in HEC and the Hagedorn and Frautschi models for fireball and hadrons been attempted [33,34] by introducing the concept of thermofractals; that is, systems with fractal structure in their thermodynamical quantities. It turns out that with such structure, Hagedorn's self-consistence principle can be rescued from its apparent failure, as discussed below.…”

Section: The Fractal Structure Of Hadronsmentioning

confidence: 99%

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Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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Abstract:One important ingredient in the study of cosmological evolution is the equation of state of the primordial matter formed in the first stages of the Universe. It is believed that the first matter produced was of hadronic nature, probably the quark-gluon plasma which has been studied in high-energy collisions. There are several experimental indications of self-similarity in hadronic systems-in particular in multiparticle production at high energies. Theoretically, this property was associated with the dynamics of particle production, but it is also possible to relate self-similarity to the hadron structure-in particular to a fractal structure of this system. In doing so, it is found that the thermodynamics of hadron systems at equilibrium must present specific properties that are indeed supported by data. In particular, the well-known self-consistence principle proposed by Hagedorn 50 years ago is shown to be valid, and can correctly describe experimental distributions, mass spectrum of observed particles, and other properties of the hadronic matter. In the present work, a review of the theoretical developments related to the thermodynamical properties of hadronic matter and its applications in other fields is presented.

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Section: The Fractal Structure Of Hadronsmentioning

confidence: 99%

“…Thermofractals are defined as systems in thermodynamical equilibrium presenting the following three properties [33,34]:…”

Section: Thermofractalsmentioning

confidence: 99%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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“…The full understanding of the non-extensive statistics formulated by Tsallis, however, has not been accomplished yet. Four different connections between Boltzmann and Tsallis statistics have been proposed so far [8][9][10][11][12][13], all of them giving a clear meaning to the entropic index, q that appears in the non-extensive case and, in all connections, Boltzmann statistics are obtained as a special case. Nevertheless, it seems that the physical meaning of this parameter is not understood in the general case, and the difficulty to grasp the significance of the entropic index may be related to the fact that this quantity never appeared before in thermodynamics, while temperature, even if it appears as another parameter in statistical mechanics, had already an intuitive meaning in the description of thermodynamical systems.…”

Section: Introductionmentioning

confidence: 99%

Fractal Structure and Non-Extensive Statistics

Deppman

Frederico

Megías

et al. 2018

Entropy

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The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics have been discussed in detail in many works and triggered an interesting discussion on the most deep meaning of entropy and its role in complex systems. Some possible mechanisms that could give rise to non-extensive statistics have been formulated over the last several years, in particular a fractal structure in thermodynamic functions was recently proposed as a possible origin for non-extensive statistics in physical systems. In the present work, we investigate the properties of such fractal thermodynamical system and propose a diagrammatic method for calculations of relevant quantities related to such a system. It is shown that a system with the fractal structure described here presents temperature fluctuation following an Euler Gamma Function, in accordance with previous works that provided evidence of the connections between those fluctuations and Tsallis statistics. Finally, the scale invariance of the fractal thermodynamical system is discussed in terms of the Callan–Symanzik equation.

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“…Recently, Deppman et. al [49] have shown that the fractal dimension of the thermofractal obtained from values of temperature and entropic index resulting from the analysis of p T distributions in high-energy interactions are similar to those found in analyses of intermittency in experimental data in high-energy collisions. Experimental data from 32 S-AgBr at 200 A GeV interaction has been analysed using the complex-network-based visibility graph method and the PSVG values obtained thereof have been compared for all the overlapping η-regions centered around c r , and it has been shown that the multiplicity fluctuation in high-energy interaction is self-similar and scale-free [30].…”

Section: Resultsmentioning

confidence: 54%

Azimuthal Anisotropy in High-Energy Nuclear Collision: An Approach Based on Complex Network Analysis

Bhaduri

Ghosh

2018

Advances in High Energy Physics

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Recently, a complex network based method of visibility graph has been applied to confirm the scale-freeness and presence of fractal properties in the process of multiplicity fluctuation. Analysis of data obtained from experiments on hadron-nucleus and nucleusnucleus interactions results in values of Power of Scale-Freeness of Visibility Graph (PSVG) parameter extracted from the visibility graphs. Here, the relativistic nucleus-nucleus interaction data have been analysed to detect azimuthal anisotropy by extending the visibility graph method and extracting the average clustering coefficient, one of the important topological parameters, from the graph. Azimuthal-distributions corresponding to different pseudorapidity regions around the central pseudorapidity value are analysed utilising the parameter. Here we attempt to correlate the conventional physical significance of this coefficient with respect to complex network systems, with some basic notions of particle production phenomenology, like clustering and correlation. Earlier methods for detecting anisotropy in azimuthal distribution were mostly based on the analysis of statistical fluctuation. In this work, we have attempted to find deterministic information on the anisotropy in azimuthal distribution by means of precise determination of topological parameter from a complex network perspective.

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Fractal aspects of hadrons

Cited by 9 publications

References 55 publications

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Fractal Structure and Non-Extensive Statistics

Azimuthal Anisotropy in High-Energy Nuclear Collision: An Approach Based on Complex Network Analysis

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