Nonextensive statistical effects on the relativistic nuclear equation of state

Drago, A.; Lavagno, Andrea; Quarati, Piero

doi:10.1016/j.physa.2004.06.016

Cited by 26 publications

(46 citation statements)

References 18 publications

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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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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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“…This kind of system commonly shows a power law spectra and appears in several fields of science. Aspects of nonusual behavior have been explored, for instance, in biology [2], nuclear physics [3], financial market [4], music [5] and linguistics [6]. In this context, there are also works that search for correlations in DNA sequences [7][8][9][10][11] by using entropic indexes [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Symbolic sequences and Tsallis entropy

Ribeiro¹,

Lenzi²,

Mendes³

et al. 2009

Braz. J. Phys.

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We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated l times, with the probability distribution p(l) ∝ 1/l µ . For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of q, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter µ.

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“…The thermodynamical quantities can be obtained from the thermodynamic potential in the standard way [15,16]. More explicitly, the baryon pressure P B and the energy density B can be written as…”

Section: Relativistic Nuclear Equation Of State and Stability Conditionsmentioning

confidence: 99%

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

Lavagno

2018

EPJ Web Conf.

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Abstract. We study the presence of thermodynamic instabilities in a nuclear medium at finite temperature and density where nuclear phase transitions can take place. Such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the electric charge concentration). Similarly to the liquid-gas phase transition, the nucleonic and the ∆-matter phase have a different isospin density in the mixed phase. In the liquid-gas phase transition, the process of producing a larger neutron excess in the gas phase is referred to as isospin fractionation. A similar effects can occur in the nucleon-∆ matter phase transition due essentially to a ∆ − excess in the ∆-matter phase in asymmetric nuclear matter. In this context we also discuss the relevance of ∆-isobar and hyperon degrees of freedom in the bulk properties of the protoneutron stars at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos.

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Nonextensive statistical effects on the relativistic nuclear equation of state

Cited by 26 publications

References 18 publications

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

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

Symbolic sequences and Tsallis entropy

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

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