Speed of sound in hadronic matter using non-extensive Tsallis statistics

Khuntia, A.; Sahoo, P.; Garg, P.; Sahoo, R.; Cleymans, J.

doi:10.1140/epja/i2016-16292-9

Cited by 26 publications

(24 citation statements)

References 39 publications

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“…The criticality in c 2 s disappears when lower mass cutoff is reached, which advocates that criticality of the system depends on the number of hadrons present in the system. Also, we find that c 2 s decreases with the mass cutoff, which goes in line with the previous observations [57,58].…”

Section: Formulationsupporting

confidence: 92%

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Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

et al. 2018

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We evaluate the transport properties such as shear viscosity (η), bulk viscosity (ζ) and their ratios over entropy density (s) for hadronic matter using relativistic non-extensive Boltzmann transport equation (NBTE) in relaxation time approximation (RTA). In NBTE, we argue that the system far from equilibrium may not reach to an equilibrium described by extensive (Boltzmann-Gibbs (BG)) statistics but to a q-equilibrium defined by Tsallis non-extensive statistics after subsequent evolution, where q denotes the degree of non-extensivity. We observe that η/s and ζ/s decrease rapidly with temperature (T ) for various q-values. As q increases, the magnitudes of η/s and ζ/s decrease with T . We also show the upper mass cutoff dependence of these ratios for a particular q and find that they decrease with the increase in mass cutoff of hadrons. Further, we present the first estimation of isothermal compressibility (κT ) using non-extensive Tsallis statistics at finite baryon chemical potential (µB). It is observed that, κT changes significantly with the degree of non-extensivity. We also study the squared speed of sound (c 2 s ) as a function of temperature at finite baryon chemical potential for various q and upper mass cutoffs. It is noticed that there is a strong impact of q and mass cutoff on the behaviour of c 2 s .which are used to define the equation of state of the system and quantify the softest point of the phase transition along with the location of the critical point [8].

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Section: Formulationsupporting

confidence: 92%

“…In Ref. [57], the temperature and mass cutoff dependence of c 2 s for various q-values have been studied in Tsallis statistics. It is noticed that the criticality in c 2 s , which is seen as the q-dependent peak in c 2 s , when studied as a function of temperature, disappears after q = 1.13.…”

Section: Formulationmentioning

confidence: 99%

Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

et al. 2018

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“…We have limited ourself to q < 1.15 as it has been shown in Ref. [37] that beyond that value there might not be any phase transition which would in effect render the study irrelevant. It is necessary to include all hadrons up to a certain cutoff.…”

Section: Relaxation Timementioning

confidence: 99%

Violation of Wiedemann-Franz Law for Hot Hadronic Matter created at NICA, FAIR and RHIC Energies using Non-extensive Statistics

Rath,

Tripathy,

Chatterjee

et al. 2019

Preprint

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We present here the computation of electrical and thermal conductivity by solving the Boltzmann transport equation in relaxation time approximation. We use the q-generalized Boltzmann distribution function to incorporate the effects of non-extensivity. The behaviour of these quantities with changing temperature and baryochemical potential has been studied as the system slowly moves towards thermodynamic equilibrium. We have estimated the Lorenz number at NICA, FAIR and the top RHIC energies and studied as a function of temperature, baryochemical potential and the nonextensive parameter, q. We have observed that Wiedemann-Franz law is violated for a non-extensive hadronic phase as well as for an equilibrated hadron gas at high temperatures.

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“…For a physical hadron resonance gas, we use Tsallis form of Fermi-Dirac (FD) and Bose-Einstein (BE) statistics according to particle species [2], which is given by,…”

Section: Speed Of Sound In a Physical Hadron Resonance Gasmentioning

confidence: 99%

The $q$-statistics and QCD Thermodynamics at LHC

Bhattacharyya¹,

Khuntia²,

Sahoo³

et al. 2016

Acta Phys. Pol. B Proc. Suppl.

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We perform a Taylor series expansion of Tsallis distribution by assuming the Tsallis parameter q close to 1. The q value shows the deviation of a system from a thermalised Boltzmann distribution. By taking up to first order in (q − 1), we derive an analytical result for Tsallis distribution including radial flow. Further, in the present work, we also study the speed of sound (c s ) as a function of temperature using the non-extensive Tsallis statistics for different q values and for different mass cut-offs.

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Speed of sound in hadronic matter using non-extensive Tsallis statistics

Cited by 26 publications

References 39 publications

Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

Violation of Wiedemann-Franz Law for Hot Hadronic Matter created at NICA, FAIR and RHIC Energies using Non-extensive Statistics

The $q$-statistics and QCD Thermodynamics at LHC

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