Dynamics of the diffusive DM-DE interaction--dynamical system approach

TL;DR

This paper models the energy transfer between dark matter and dark energy via a diffusion process, analyzing its dynamics with a system approach and fitting it to astronomical data, showing consistency with observations.

Contribution

Introduces a relativistically invariant diffusion model for DM-DE interaction and analyzes its dynamics using a dynamical systems framework, fitting parameters to observational data.

Findings

Model is consistent with SNIa, H(z), BAO, and Alcock-Paczynski data.

Dynamical analysis reveals dependence of solutions on initial conditions.

Diffusive DM-DE interaction can be compatible with current cosmological observations.

Abstract

We discuss dynamics of a model of an energy transfer between dark energy (DE) and dark matter (DM). The energy transfer is determined by a non-conservation law resulting from a diffusion of dark matter in an environment of dark energy. The relativistic invariance defines the diffusion in a unique way. The system can contain baryonic matter and radiation which do not interact with the dark sector. We treat the Friedman equation and the conservation laws as a closed dynamical system. The dynamics of the model is examined using the dynamical systems methods for demonstration how solutions depend on initial conditions. We also fit the model parameters using astronomical observation: SNIa, $H(z)$, BAO and Alcock-Paczynski test. We show that the model with diffuse DM-DE is consistent with the data.