Cosmological Model with Dark Matter in a Dissipative Universe

Abstract

A cosmological model is considered, in which two ideal fluids interact: dark energy and dark matter, in a homogeneous and isotropic flat Friedmann–Lemaître–Robertson–Walker Universe with scattering. Scattering in this Universe is investigated in two ways: in terms of bulk viscosity and with the help of the entropic model. The interaction between dark energy and dark matter is described in terms of parameters of the equation of state for dark energy, which take account of dissipative properties of the Universe. In the example of the model of the Universe with a singularity known as the Little Rip, application of a formalism describing dissipative properties is demonstrated. An analytical representation of this model in terms of thermodynamic parameters of the equation of state for dark energy, taking dissipation into account, is obtained. In the expression for the coefficient of bulk viscosity, corrections are taken into account which are due to the interaction between dark energy and dark matter.