Generalized Statistics and the Formation of a Quark-Gluon Plasma

Teweldeberhan, A. M.; Miller, H.G.; Tegen, R.

doi:10.1142/s0218301303001296

Cited by 26 publications

(51 citation statements)

References 31 publications

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“…From the above, we can obtain the associate quantum mean occupation number of particles species in a grand canonical ensemble. For a dilute gas of particles and for small deviations from the standard statistics ( ≈ 1), the occupation number can be written as [35,36] …”

Section: Nonextensive Hadronic Equation Of Statementioning

confidence: 99%

“…In this context the non-extensive statistical mechanics proposed by Tsallis [1][2][3] can be used to describe and investigate such physical phenomena. Nonextensive statistical effects should strongly affect the finite temperature and nuclear density Equation of State (EOS) [35][36][37][38][39][40]. In fact, by varying temperature and density, the EOS reflects (in terms of the macroscopic thermodynamical variables) the microscopic interactions between the different nuclear matter phases.…”

Section: Introductionmentioning

confidence: 99%

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Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies

Gervino¹,

Lavagno²,

Pigato³

2012

Open Physics

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Abstract:We investigate the relativistic equation of state of hadronic matter and quark-gluon plasma at finite temperature and baryon density in the framework of the non-extensive statistical mechanics, characterized by power-law quantum distributions. We impose the Gibbs conditions on the global conservation of baryon number, electric charge and strangeness number. For the hadronic phase, we study an extended relativistic mean-field theoretical model with the inclusion of strange particles (hyperons and mesons). For the quark sector, we employ an extended MIT-Bag model. In this context we focus on the relevance of non-extensive effects in the presence of strange matter.PACS (2008)

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Section: Nonextensive Hadronic Equation Of Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies

Gervino¹,

Lavagno²,

Pigato³

2012

Open Physics

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“…As a result of application of the q-statistics, one gets a characteristic power-law distribution in energy-momentum [4] and specific q-versions of the Fermi-Dirac (FD) distribution [18,19] (see also [20,9]). …”

Section: Introductionmentioning

confidence: 99%

Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

Rożynek¹,

Wilk²

2009

J. Phys. G: Nucl. Part. Phys.

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Abstract. We present a nonextensive version of the QCD-based Nambu -JonaLasinio (NJL) model of a many-body field theory describing the behavior of strongly interacting matter. It is based on the nonextensive generalization of Boltzmann-Gibbs (BG) statistical mechanics used in the NJL model, which was taken in the form proposed by Tsallis characterized by a dimensionless nonextensivity parameter q (for q → 1 one recovers the usual BG case). This new phenomenological parameter accounts summarily for all possible effects resulting in a departure from the conditions required by application of the BG approach, and allows for a simple phenomenological check of the sensitivity of the usual NJL model to such effects (in particular to fluctuations of temperature and correlations in a system of quarks). As an example, we discuss the sensitivity of such a q-NJL model to the departures from the NJL form, both for q > 1 and q < 1 cases, for such observables as the temperature dependencies of chiral symmetry restoration, masses of π and σ mesons and characteristic features of spinodal decomposition.

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“…Note that a similar calculation, only for the quark-gluon phase, was also performed in Ref. [14] by studying the phase transition diagram.…”

Section: Nonextensive Qgp Equation Of Statementioning

confidence: 98%

Nonextensive statistical effects on the relativistic nuclear equation of state

Drago

Lavagno

Quarati

2004

Physica A: Statistical Mechanics and its Applications

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Following the basic prescriptions of the Tsallis' nonextensive thermodynamics, we study the relativistic nonextensive thermodynamics and the equation of state for a perfect gas at the equilibrium. The obtained results are used to study the relativistic nuclear equation of state in the hadronic and in the quark-gluon plasma phase. We show that small deviations from the standard extensive statistics imply remarkable effects into the shape of the equation of state.

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Generalized Statistics and the Formation of a Quark-Gluon Plasma

Cited by 26 publications

References 31 publications

Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies

Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies

Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

Nonextensive statistical effects on the relativistic nuclear equation of state

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