Comparing Standard Distribution and Its Tsallis Form of Transverse Momenta in High Energy Collisions

Si, Rui-Fang; Li, Huiling; Liu, Fu‐Hu

doi:10.1155/2018/7895967

Cited by 12 publications

(13 citation statements)

References 68 publications

(129 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, regarding the results reported in [68] and [69] the usefulness of Tsallis distribution function in high energy physics is expected. In line with these results, some researchers study the possibility of describing the distribution of transverse momentum in the Large Hadron Collider and Relativistic Heavy Ion Collider, employing the Tsallis distribution, expressed as [70][71][72][73]…”

Section: Density Of Statesmentioning

confidence: 91%

A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas

2021

View full text Add to dashboard Cite

In recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty principles on Maxwell–Boltzmann distribution have been widely investigated. However, at high energy regimes, the validity of Maxwell–Boltzmann statistics is under debate and instead, the Jüttner distribution is proposed as the distribution function in relativistic limit. Motivated by these considerations, in the present work, our aim is to study the effects of GUP and EUP on a system that obeys the Jüttner distribution. To achieve this goal, we address a method to get the distribution function by starting from the partition function and its relation with thermal energy which finally helps us in finding the corresponding energy density states.

show abstract

Section: Density Of Statesmentioning

confidence: 91%

A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas

2021

View full text Add to dashboard Cite

show abstract

“…A non-extensive Tsallis statistics [1,2] has been shown to provide a better description of the nature of the non-exponential transverse momentum spectrum. The description of particle spectra using the Tsallis distribution has gained lots of interest recently because these could successfully explain the underlying physics in proton-proton (pp), proton-nucleus (p−A), and nucleus-nucleus (A−A) collision systems in dedicated facilities at the Relativistic Heavy-Ion collider (RHIC) and the Large Hadron Collider (LHC) [3][4][5][6][7][8][9][10][11][12]. Transverse momentum spectra of identified hadrons have significant importance to understand the collision dynamics, particle production mechanism, and thermodynamic behavior of the system.…”

Section: Introductionmentioning

confidence: 99%

“…Transverse momentum spectra of identified hadrons have significant importance to understand the collision dynamics, particle production mechanism, and thermodynamic behavior of the system. Identified particle spectra using different non-thermal approaches of the Tsallis distribution can be found in [6,8,13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions

Patra,

Mohanty,

Nayak

2020

Preprint

View full text Add to dashboard Cite

The thermodynamical properties of matter created in high-energy heavy-ion collisions have been studied in the framework of the non-extensive Tsallis statistics by fitting the transverse momentum spectra (p T ) of produced particles. The p T distributions of charged particles and identified pions from the available experimental data of Au-Au collisions at the Relativistic Heavy Ion Collider (RHIC) energies and Pb-Pb collisions at the Large Hadron Collider (LHC) energies are fitted by Tsallis distribution. The fit parameter q measures the degree of deviation of the system from an equilibrium state and T is the kinetic freezeout temperature. It is observed that, in general, q increases with the increase of collision energy and the variation with respect to centrality is collision energy dependent, whereas, T decreases with collision energy, and increases with collision centrality. A reversal of the centrality dependency has been observed for collision energies below 27 GeV. The correlation between the Tsallis parameters with centrality and collision energy are presented along with a comparison to the corresponding results from the fits of the blast-wave model.

show abstract

“…Power-like distributions have been used to describe momentum distributions in high energy collisions. Many researchers have studied momentum distributions, and have used Tsallis-type distributions [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. It has been reported that Tsallis-type distributions describe well momentum distributions.…”

Section: Introductionmentioning

confidence: 99%

Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

Ishihara

2019

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

We studied chiral phase transition in the linear sigma model within the Tsallis nonextensive statistics in the case of small deviation from the Boltzmann-Gibbs (BG) statistics. The statistics has two parameters: the temperature T and the entropic parameter q. The normalized q-expectation value and the physical temperature T ph were employed in this study. The normalized q-expectation value was expanded as a series of the value (1 − q), where the absolute value |1 − q| is the measure of the deviation from the BG statistics. We applied the Hartree factorization and the free particle approximation, and obtained the equations for the condensate, the sigma mass, and the pion mass. The physical temperature dependences of these quantities were obtained numerically. We found following facts. The condensate at q is smaller than that at q ′ for q > q ′ . The sigma mass at q is lighter than that at q ′ for q > q ′ at low physical temperature, and the sigma mass at q is heavier than that at q ′ for q > q ′ at high physical temperature. The pion mass at q is heavier than that at q ′ for q > q ′ . The difference between the pion masses at different values of q is small for T ph ≤ 200 MeV. That is to say, the condensate and the sigma mass are affected by the Tsallis nonextensive statistics of small |1 − q|, and the pion mass is also affected by the statistics of small |1 − q| except for T ph ≤ 200 MeV.

show abstract

Comparing Standard Distribution and Its Tsallis Form of Transverse Momenta in High Energy Collisions

Cited by 12 publications

References 68 publications

A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas

A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas

Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions

Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

Contact Info

Product

Resources

About