Non-extensive distributions for a relativistic Fermi gas

Rożynek, J.

doi:10.1016/j.physa.2015.08.022

Cited by 9 publications

(23 citation statements)

References 43 publications

(70 reference statements)

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“…3.2 and 3.3 of [10] for details). As will be seen below, in our case it will result in z q (τ lim ) = 1 and the corresponding q-exponent becomes zero forcing the respective particle occupation number to remain equal to unity from this point [27,10] 3 . Note that in this approach the energies E i remain unchanged, the only dynamical change introduced by switching to a nonextensive environment is in…”

Section: Qpm In a Nonextensive Environment: Q-qpmmentioning

confidence: 76%

“…The form of the variable x (27) in the second case. The conditions to be satisfied in order to proceed from eq.…”

Section: Qpm In a Nonextensive Environment: Q-qpmmentioning

confidence: 99%

“…(2) to the nonextensive case. To this end, following [10,9,11,12,27], one simply replaces f (i) eq by the corresponding nonextensive particle occupation numbers…”

Section: Introductionmentioning

confidence: 99%

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An example of the interplay of nonextensivity and dynamics in the description of QCD matter

Rożynek

Wilk

2016

Eur. Phys. J. A

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Abstract.Using a simple quasiparticle model of QCD matter, presented some time ago in the literature, in which interactions are modelled by some effective fugacities z, we investigate the interplay between the dynamical content of fugacities z and effects induced by nonextensivity in situations when this model is used in a nonextensive environment characterized by some nonextensive parameter q = 1 (for the usual extensive case q = 1). This allows for a better understanding of the role of nonextensivity in the more complicated descriptions of dense hadronic and QCD matter recently presented (in which dynamics is defined by a Lagrangian, the form of which is specific to a given model).

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Section: Qpm In a Nonextensive Environment: Q-qpmmentioning

confidence: 76%

“…The form of the variable x (27) in the second case. The conditions to be satisfied in order to proceed from eq.…”

Section: Qpm In a Nonextensive Environment: Q-qpmmentioning

confidence: 99%

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An example of the interplay of nonextensivity and dynamics in the description of QCD matter

Rożynek

Wilk

2016

Eur. Phys. J. A

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“…Thermodynamical consistency demands that the n q (x) obtained in this way must be replaced by n q (x) q [25,26,49] (this requirement follows from the proper theoretical formulation of the nonextensive thermodynamics provided in [15,17], cf. Eqs(10) below).…”

Section: Formulation Of the Qz-qpmmentioning

confidence: 99%

Nonextensive Quasiparticle Description of QCD Matter

Rożynek¹,

Wilk²

2019

Symmetry

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The dynamics of QCD matter is often described using effective mean field (MF) models based on Boltzmann-Gibbs (BG) extensive statistics. However, such matter is normally produced in small packets and in violent collisions where the usual conditions justifying the use of BG statistics are not fulfilled and the systems produced are not extensive. This can be accounted for either by enriching the original dynamics or by replacing the BG statistics by its nonextensive counterpart described by a nonextensivity parameter q = 1 (for q → 1 one returns to the extensive situation). In this work we investigate the interplay between the effects of dynamics and nonextensivity. Since the complexity of the nonextensive MF models prevents their simple visualization, we instead use some simple quasi-particle description of QCD matter in which the interaction is modelled phenomenologically by some effective fugacities, z. Embedding such a model in a nonextensive environment allows for a well-defined separation of the dynamics (represented by z) and the nonextensivity (represented by q) and a better understanding of their relationship.

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“…Note that the Bosesystems are studied to a larger extent, perhaps due to the fascinating Bose-condensation phenomenon [22,23]. While the deformations of the Fermi-statistics are often studied alongside the Bose-statistics, in some works deformed fermions are a sole subject of analysis [15,19,24].…”

Section: Introductionmentioning

confidence: 99%

Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

Rovenchak

Sobko

2019

Physica A: Statistical Mechanics and its Applications

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We compare two approaches to the generalization of the ordinary Fermi-statistics based on the nonadditive Tsallis q-exponential used in the Gibbs factor instead of the conventional exponential function. Both numerical and analytical calculations are made for the chemical potential, fugacity, energy, and the specific heat of the ideal gas obeying such generalized types of statistics. In the approach based on the Gibbs factor containing the chemical potential, high temperature behavior of the specific heat significantly deviates from the expected classical limit, while at low temperatures it resembles that of the ordinary ideal Fermi-gas. On the contrary, when the fugacity enters as a multiplier at the Gibbs factor, the high-temperature limit reproduces the classical ideal gas correctly. At low temperatures, however, some interesting results are observed, corresponding to non-zero specific heat at the absolute zero temperature or a finite (non-zero) minimal temperature. These results, though exotic from the first glance, might be applicable in effective modeling of physical phenomena in various domains.

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Non-extensive distributions for a relativistic Fermi gas

Cited by 9 publications

References 43 publications

An example of the interplay of nonextensivity and dynamics in the description of QCD matter

An example of the interplay of nonextensivity and dynamics in the description of QCD matter

Nonextensive Quasiparticle Description of QCD Matter

Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

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