| Kinetic theory is a theoretical approach starting from the first principle, which is particularly suit to study the transport coefficients of the dilute fluids. Under the framework of kinetic theory, two distinct topics are explored in this dissertation.;CFL Quark Matter 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. We focus on the contribution from the lightest modes, the superfluid phonon and the massive neutral kaon. We find that the thermal conductivity due to phonons is ∼ 1.04 x 1026 m8500D-65 0 erg cm-1 s-1 K-1 and the contribution of kaons is ∼ 2.81 x 1021 f4p,100T1/2M eVm-5/210 erg cm-1 s-1 K-1 . Thereby we estimate that a CFL quark matter core of a compact star becomes isothermal on a timescale of a few seconds.;Atomic Fermi Gas In a dilute atomic Fermi gas, above the critical temperature, Tc, the elementary excitations are fermions, whereas below Tc, the dominant excitations are phonons. We find that the thermal conductivity in the normal phase at unitarity is ∝ T3/2 but is ∝ T2 in the superfluid phase. At high temperature the Prandtl number, the ratio of the momentum and thermal diffusion constants, is 2/3. The ratio increases as the temperature is lowered. As a consequence we expect sound attenuation in the normal phase just above T c to be dominated by shear viscosity.;Finally, we calculate the viscosity spectral function of the dilute atomic Fermi gas in three different channels. We find the expected structure consisting of a diffusive peak in the transverse shear channel and a sound peak in the longitudinal channel. At zero momentum the width of the diffusive peak is o 0 ≃ (2epsilon)/(3eta) where epsilon is the energy density and eta is the shear viscosity. At finite momentum the spectral function approaches the collisionless limit and the width is of order o0 ∼ k(T/m)1/2. |
