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2016

Does the diffusion DM-DE interaction model solve cosmological puzzles?

Szydlowski, Marek, Stachowski, Aleksander

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We study dynamics of cosmological models with diffusion effects modeling dark matter and dark energy interactions.

We show the simple model with diffusion between the cosmological constant sector and dark matter, where the canonical scaling law of dark matter $(\rho_{dm,0}a^{-3}(t))$ is modified by an additive $\epsilon(t)=\gamma t a^{-3}(t)$ to the form $\rho_{dm}=\rho_{dm,0}a^{-3}(t)+\epsilon(t)$.
We reduced this model to the autonomous dynamical system and investigate it using dynamical system methods.
This system possesses a two-dimensional invariant submanifold on which the DM-DE interaction can be analyzed on the phase plane.

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