Color Superconductivity and Tsallis Statistics

Abstract

The generalized non-extensive statistics proposed by Tsallis have been successfully utilized in many systems where long range interactions are present. For high density quark matter an attractive long range interaction arising from single gluon exchange suggests the formation of a diquark condensate. We study the effects on this color superconducting phase for two quark flavors due to a change to Tsallis statistics. By numerically solving the gap equation we obtain a generalization of the universality condition, $\frac{2{\varphi }_0}{T_C}\approx 3.52$ and determine the temperature dependence of the gap. For the Tsallis parameter $q\approx 1$ the specific heat is exponential becoming more linear as q increases. This suggests that for larger values of q s-wave color superconductors behave like high $T_c$ superconductors rather than weak superconductors.

References in corpus (24)

• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Dynamical foundations of nonextensive statistical mechanics
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• The Quark-Gluon Plasma in Equilibrium
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive
• Color superconductivity in weak coupling
• Non-extensive statistical mechanics and particle spectra in elementary interactions
• Gaps and Critical Temperature for Color Superconductivity
• Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
• Superstatistics: Theory and Applications
• Power-law tails from multiplicative noise
• A first order transition and parity violation in a color superconductor
• The imprints of nonextensive statistical mechanics in high energy collisions
• Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions
• Generalized Statistics and High Tc Superconductivity
• Dynamics and Thermodynamics of a model with long-range interactions
• Asymmetric unimodal maps at the edge of chaos
• Generalized Statistics and the Formation a Quark-Gluon Plasma
• Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants
• Extensive form of equilibrium nonextensive statistics
• Non-extensive statistics effects in quark-gluon plasma and in relativistic heavy-ion collisions
• Generalized Thermostatistics and Bose-Einstein Condensation
• Numerical solution of the color superconductivity gap in a weak coupling constant

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• Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
• An Evidence of Mass Dependent Differential Kinetic Freeze-out Scenario Observed in Pb-Pb Collisions at 2.76 TeV
• Energy scan/dependence of kinetic freeze-out scenarios of multi-strange and other identified particles in central nucleus-nucleus collisions
• Nonextensive statistical effects in the hadron to quark-gluon phase transition
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• Non-Extensive Quantum Statistics with Particle - Hole Symmetry
• Extraction of different temperatures and kinetic freeze-out volume in high energy collisions
• Decoupling of non-strange, strange and multi-strange particles from the system in Cu-Cu, Au-Au and Pb-Pb collisions at high energies
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• Two types of $q$-Gaussian distributions used to study the diffusion in a finite region
• Study of production of (anti)deuteron observed in Au+Au collisions at $\sqrt{S_{NN}}$=14.5, 62.4 and 200 GeV
• Analysis of kinetic freeze out temperature and transverse flow velocity in nucleus-nucleus and proton-proton collisions at same center of mass energy
• Thermal Field Theory of the Tsallis statistics