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Quark matter description in a Tsallis entropy approach

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Abstract.

A non-additive entropy is used to describe quark matter. We consider a non-extensive thermodynamic system in the framework of the MIT bag model of hadrons, in order to consider the correlation between quarks and gluons due to strong interactions. The non-additive entropy of the system describes quarks and gluons as two probabilistically independent subsystems. We analyze the phase diagram in terms of the correlation parameter q that enters the sum of entropies in the Tsallis prescription. For the case of non-zero chemical potentials it can be shown that the systems with \( q\le q_{\max}\) may be associated with the weakly coupled systems while those with \(q > q_{\max}\) are more correlated. Furthermore, we find that the critical temperature for the hadron increases as the correlation between quarks and gluons increases, according to the expectations.

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Authors and Affiliations

  1. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14 740, 07360, Mexico City, Mexico

    Carolina Barboza Mendoza & G. Herrera Corral

Authors
  1. Carolina Barboza Mendoza
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  2. G. Herrera Corral
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Corresponding author

Correspondence to G. Herrera Corral.

Additional information

Communicated by T. Biro

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors' comment: All data generated during this study are contained in this published article.]

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Barboza Mendoza, C., Herrera Corral, G. Quark matter description in a Tsallis entropy approach. Eur. Phys. J. A 55, 146 (2019). https://doi.org/10.1140/epja/i2019-12834-y

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