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

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.

25 pages, 11 figures; v.2: corrected formulas, concept of early energy falsified; accepted in JCAP

References in corpus (5)

• Dynamics of dark energy with a coupling to dark matter
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• Relativistic diffusion
• Dynamics of Robertson-Walker spacetimes with diffusion
• Interactions in the dark sector of the Universe

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• Dark energy and dark matter unification from dynamical space time: observational constraints and cosmological implications
• A critical discussion on the $H_0$ tension
• Does the diffusion DM-DE interaction model solve cosmological puzzles?
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• Diffusive dark matter and dark energy scenario and $k-$essence in the context of Supernova Ia observations
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• Statistical physics of the inflaton decaying in an inhomogeneous random environment
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• Unified Dark Energy and Dark Matter from Dynamical Spacetime Cosmology
• Power spectrum of stochastic wave and diffusion equations in the warm inflation models
• Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario