Chiral phase transition in the linear sigma model within Hartree factorization under $$(1-q)$$ expansion and free particle approximation in the Tsallis nonextensive statistics

Ishihara, M.

doi:10.1140/epja/s10050-020-00156-2

Cited by 2 publications

(2 citation statements)

References 45 publications

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“…The Tsallis distribution, which is an extension of the Boltzmann-Gibbs (BG) distribution with an additional parameter [2], has gained significant attention in the past few decades. It has been widely employed to analyze various phenomena [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], among many others such as astrophysics [23,24] and optical lattice [25]. For instance, the Tsallis distribution has been used to describe the momentum distribution observed in high-energy collision experiments.…”

Section: Introductionmentioning

confidence: 99%

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

Diab

2024

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

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The inﬂuence of non-extensive Tsallis statistics on the hadron phase structure has been investigated using the Polyakov-quark-meson (PQM) model. The analysis examines the non-extensive eﬀects on the temperature dependence of PQM order parameters, thermodynamic quantities related to the QCD equation of state, and ﬂuctuations of conserved charges at varying chemical potentials. The results show that non-extensive eﬀects have the most signiﬁcant deviations near the crossover region. The pseudo-critical temperature Tχ(µB) is not a universal constant and decreases with increasing non-extensive q parameter. The chiral phase diagram of the PQM model indicates a decrease in the behavior of the (Tχ - µB) plane with increasing non-extensive q parameter. The PQM model exhibits good qualitative agreement with lattice QCD calculations. Moreover, these ﬁndings suggest the existence of a Tsallis limit, which serves as an alternative to the Stefan-Boltzmann (SB) limit for the massless ideal gas. Overall, this study highlights the importance of non-extensive Tsallis statistics in characterizing the quark-hadron phase structure of the PQM model and contributes to a deeper understanding of non-extensive eﬀects in the quark-hadron phase transition.

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Section: Introductionmentioning

confidence: 99%

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

Diab

2024

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

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“…[27,32]) that at higher baryon chemical potential, a first-order transition may exsit, which ends at a critical end point (CEP), which is of second order phase transition point. Furthermore, the effects of rotation [33,34], the magnetic field effects [35][36][37][38][39][40], finite-volume effects [41][42][43][44][45][46][47][48][49][50], non-extensive effects [51][52][53][54], external electric fields [55][56][57][58], the effects of chiral chemical potential [59][60][61][62] also have been considered in the effective models to provide a better insight in the QCD phase transition of a more realsitic QCD plasma.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Zhang¹,

Xiao²,

Kang³

et al. 2021

Preprint

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The chiral phase structure, mesonic properties and transport properties in a momentum anisotropic quark matter induced by the preferential expansion of medium are phenomenologically investigated based on the two flavor Nambu-Jona-Lasinio model. The calculations of various transport coefficients have been performed using the kinetic theory in the relaxation time approximation, where the momentum anisotropy is embeded in the estimation of both distribution function and the relaxation time. Our results indicate that an increase in anisotropy parameter ξ can considerably lead to a catalysis of chiral symmetry breaking. The critical endpoint (CEP) is shifted to smaller temperatures and larger quark chemical potentials as ξ increases, and the influence of momentum anisotropy on temperature of CEP is almost the same as that on the quark chemical potential of CEP. The meson masses and the associated decay widths also significantly are affect by the variation of ξ. The temperature behavior of scaled shear viscosity η/T 3 and scaled electrical conductivity σ el /T exhibit a similar dip struture, however, their qualitative behaviors with ξ are different. Nevertheless, the minima of both η/T 3 and σ el /T shift toward higher temperatures with an increase of ξ. Furthermore, in this work the Seebeck coefficient S exhibits a decreasing function of temperature and its sign is positive, indicating the dominant carriers of converting the temperature gradient to the electric field are up quarks. With a rise in ξ the value of S has a significant enhancement for the temperature below the critical temperature.

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Chiral phase transition in the linear sigma model within Hartree factorization under $$(1-q)$$ expansion and free particle approximation in the Tsallis nonextensive statistics

Cited by 2 publications

References 45 publications

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

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