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Thermodynamics with fractal structure, Tsallis statistics and hadrons

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arxiv 1601.02400 v1 pith:4CLAUT4G submitted 2016-01-11 hep-ph

classification hep-ph
keywords fractalthermodynamicalaspectsstatisticsstructuretsalliscomponentsconnections
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abstract

A system presenting fractal structure in its thermodynamical functions is introduced, and it is shown that Tsallis statistics is the correct framework for describing the thermodynamical aspects of such fractal. Its Haussdorf dimension and its Lipshitz-H\"older exponent are determined in terms of the entropic index $q$. The connections with the intermittency in experimental data is discussed. The thermodynamical aspects of the thermofractal is related to the microscopic interaction of its components through the S-matrix.

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  1. Precise determination of pomeron intercept via scaling entropy analysis

    hep-ph 2024-12 conditional novelty 5.0 of 10

    Measuring the entropy of final-state hadron multiplicities in H1 data gives a Pomeron intercept of 0.322 ± 0.007, consistent with the value from inclusive DIS cross-section scaling.

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