https://doi.org/10.1140/epja/i2019-12834-y
Regular Article - Theoretical Physics
Quark matter description in a Tsallis entropy approach
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14 740, 07360, Mexico City, Mexico
* e-mail: gherrera@fis.cinvestav.mx
** e-mail: gherrera@cern.ch
Received:
16
May
2019
Accepted:
23
July
2019
Published online:
2
September
2019
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 may be associated with the weakly coupled systems while those with
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.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019