Time-dependent diffusive interactions between dark matter and dark energy in the context of $k-$essence cosmology

Abstract

We investigated the scenario of time-dependent diffusive interaction between dark matter and dark energy and showed that such a model can be accommodated within the observations of luminosity distance - redshift data in Supernova Ia (SNe Ia) observations. We obtain constrains on different relevant parameters of this model from the observational data. We consider a homogeneous scalar field $\varphi (t)$ driven by a $k-$essence Lagrangian of the from $L=V(\varphi )F(X)$ with constant potential $V(\varphi )=V$, to describe the dynamics of dark energy in this model. Using the temporal behaviour of the FRW scale factor, the equation of state and total energy density of the dark fluid, extracted from the analysis of SNe Ia (JLA) data, we have obtained the time-dependence of the $k-$essence scalar field and also reconstructed form of the function $F(X)$ in the $k-$essence Lagrangian.

arXiv comment14 pages, 7 figures; Accepted for publication in Research in Astronomy and Astrophysics

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• Exploring the evolution of structure growth in the universe with field-fluid interactions through dynamical stability analysis
• Observational constraints on generic models of non-minimal curvature-matter coupling
• A comprehensive dynamical and phenomenological analysis of structure growth in curvature-modulated coupled quintessence scenario
• Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario
• Observational and Thermodynamic aspects of one-dimensional Dark Energy EoS parametrization models