Color superconductivity and Tsallis statistics

Conroy, Justin M.; Miller, H.G.

doi:10.1103/physrevd.78.054010

Cited by 34 publications

(30 citation statements)

References 33 publications

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“…The available range of transverse momenta has expanded considerably with the advent of the Large Hadron Collider (LHC) at CERN. Collider energies up to 7 TeV are now available in proton -proton collisions and transverse momenta of hundreds of GeV are of a common occurrence. This helps in testing and applying the relativistic thermodynamics and hydrodynamics in a new energy region.…”

Section: Introductionmentioning

confidence: 99%

Transverse momentum distributions in proton–proton collisions at LHC energies and Tsallis thermodynamics

Azmi

Cleymans

2014

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

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Abstract.A detailed study of the transverse momentum distributions of charged particles produced in proton -proton collisions at LHC energies is presented. This is done using a thermodynamically consistent form of the Tsallis distribution. All variables used are thermodynamical and in particular, the temperature, T , follows from the standard thermodynamic definition as being the derivative of the energy with respect to the (Tsallis) entropy. The momentum distribution of the final state particles can be described very well by the Tsallis distribution. The values of the parameters are determined from measurements by the ALICE, ATLAS and CMS collaborations and are discussed in detail. In particular, the Tsallis parameter, q, is found with consistent values for all the transverse momentum distributions despite large differences in kinematic regions and shows a slight increase with beam energy, reaching a value of 1.15 at 7 TeV. It is concluded that the hadronic system created in highenergy p -p collisions at mid-rapidity can be seen as obeying Tsallis thermodynamics.

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Section: Introductionmentioning

confidence: 99%

Transverse momentum distributions in proton–proton collisions at LHC energies and Tsallis thermodynamics

Azmi

Cleymans

2014

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

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“…The Tsallis form of the Fermi-Dirac and Bose-Einstein distributions as proposed in Refs. [30,31,32,33,34,35] is…”

Section: Speed Of Sound In a Physical Hadron Resonance Gasmentioning

confidence: 99%

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

Khuntia¹,

Sahoo²,

Garg³

et al. 2016

Eur. Phys. J. A

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Abstract. The speed of sound (cs) is studied to understand the hydrodynamical evolution of the matter created in heavy-ion collisions. The quark-gluon plasma (QGP) formed in heavy-ion collisions evolves from an initial QGP to the hadronic phase via a possible mixed phase. Due to the system expansion in a first order phase transition scenario, the speed of sound reduces to zero as the specific heat diverges. We study the speed of sound for systems, which deviate from a thermalized Boltzmann distribution using non-extensive Tsallis statistics. In the present work, we calculate the speed of sound as a function of temperature for different q-values for a hadron resonance gas. We observe a similar mass cut-off behaviour in the nonextensive case for c 2 s by including heavier particles, as is observed in the case of a hadron resonance gas following equilibrium statistics. Also, we explicitly show that the temperature where the mass cut-off starts varies with the q-parameter which hints at a relation between the degree of non-equilibrium and the limiting temperature of the system. It is shown that for values of q above approximately 1.13 all criticality disappears in the speed of sound, i.e. the decrease in the value of the speed of sound, observed at lower values of q, disappears completely.

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“…is used instead of e x at the corresponding place in the formulas [3][4][5][6][7][8][9][10][11][12]. However, there is a fundamental problem with this ansatz: it does not satisfy the CPT invariant concept interpreting holes among the negative energy states as antiparticles with the corresponding positive energy [20],…”

Section: Introductionmentioning

confidence: 99%

Non-extensive quantum statistics with particle–hole symmetry

Bı́ró

Shen

Zhang

2015

Physica A: Statistical Mechanics and its Applications

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Based on Tsallis entropy [1] and the corresponding deformed exponential function, generalized distribution functions for bosons and fermions have been used since a while [3,4]. However, aiming at a non-extensive quantum statistics further requirements arise from the symmetric handling of particles and holes (excitations above and below the Fermi level). Naive replacements of the exponential function or "cut and paste" solutions fail to satisfy this symmetry and to be smooth at the Fermi level at the same time. We solve this problem by a general ansatz dividing the deformed exponential to odd and even terms and demonstrate that how earlier suggestions, like the κand q-exponential behave in this respect.

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Color superconductivity and Tsallis statistics

Cited by 34 publications

References 33 publications

Transverse momentum distributions in proton–proton collisions at LHC energies and Tsallis thermodynamics

Transverse momentum distributions in proton–proton collisions at LHC energies and Tsallis thermodynamics

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

Non-extensive quantum statistics with particle–hole symmetry

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