Thermal conductivity of color-flavor locked quark matter

Abstract

We compute the thermal conductivity of color-flavor locked (CFL) quark matter. At temperatures below the scale set by the gap in the quark spectrum, transport properties are determined by collective modes. In this work we focus on the contribution from the lightest modes, the superfluid phonon and the massive neutral kaon. The calculation is done in the framework of kinetic theory, using variational solutions of the linearized Boltzmann equation. We find that the thermal conductivity due to phonons is κ^P =1.04 10^{26} mu_{500}^8 Δ_{50}^{-6} erg/(cm s K), where μ_{500} is the chemical potential in units of 500 MeV and Δ_{50} is the gap in units of 50 MeV. The contribution of kaons is κ^K = 2.81 10^{21} f_{π,100}^4 T_{MeV}^{1/2} m_{10}^{-5/2} erg/(cm s K), where f_{π,100} is the pion decay constant in units of 100 MeV, T_{MeV} is the temperature in units of 1 MeV, and m_{10} is the kaon mass in units of 10 MeV. These values are smaller than previous estimates, but still much larger than (in the case of phonons) or similar to (for kaons) the corresponding values in nuclear matter. From the phonon thermal conductivity we estimate that a CFL quark matter core of a compact star becomes isothermal on a timescale of a few seconds.

20 pages, 4 figures - Changed small numerical error and added some comments based on discussions; conclusions unchanged

References in corpus (10)

• Color superconductivity in dense quark matter
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Superfluid Heat Conduction and the Cooling of Magnetized Neutron Stars
• Electron thermal conductivity owing to collisions between degenerate electrons
• Bulk viscosity due to kaons in color-flavor-locked quark matter
• Bulk viscosity in a cold CFL superfluid
• Bulk viscosity in kaon-condensed color-flavor locked quark matter
• Thermal conductivity and phase separation of the crust of accreting neutron stars
• Transport theory for cold relativistic superfluids from an analogue model of gravity
• Critical temperature for kaon condensation in color-flavor locked quark matter

Cited by in corpus (17)

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• Thermal conductivity due to phonons in the core of superfluid neutron stars
• Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model
• Bulk viscosity coefficients due to phonons and kaons in superfluid color-flavor locked quark matter
• Collective modes in the color flavor locked phase
• Effect of temperature and magnetic field on two-flavor superconducting quark matter
• Thermal conductivity of hot pionic medium due to pion self-energy for $\pi \sigma$ and $\pi \rho$ loops
• Thermal conductivity of the quark matter for the SU(2) light-flavor sector
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas
• Transport properties of superfluid phonons in neutron stars
• Phase Structure and Transport Properties of Dense Quark Matter
• Dissipative superfluids, from cold atoms to quark matter
• Application of radial basis functions neutral networks in spectral functions
• Revisiting constraints on asymmetric dark matter from collapse in white dwarf stars