Bulk viscosity of strange quark matter in density-dependent quark mass model and dissipation of r-modes in strange stars

We study the bulk viscosity of strange quark matter(SQM) in density dependent quark mass model(DDQM) under the background of self-consistent thermodynamics. The correct formulae, with which the viscosity can be evaluated, are derived. We also find that the viscosity in DDQM can be higher by 2 to 3 orders of magnitude than MIT bag model. We calculate the damping time scales due to viscosity coupled to r-modes. The numerical results show the time scale can’t be shorter than ${10}^{-1}$s.