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

• Published in: Research in astronomy and astrophysics Vol. 21; no. 1; pp. 2 - 24
• Main Authors: Bandyopadhyay, Abhijit, Chatterjee, Anirban
• Format: Journal Article
• Language: English
• Published: Beijing National Astronomical Observatories, CAS and IOP Publishing Ltd 01.01.2021; IOP Publishing; Department of Physics,Ramakrishna Mission Vivekananda Educational and Research Institute,Belur Math,Howrah 711202,India
• Subjects: Cosmology; Dark Energy; Dark Matter; Equations of state; essence; Flux density; Luminosity; Red shift; Scalars; Supernova; Time dependence; k-essence; Dark Energy; Dark Matter
• ISSN: 1674-4527
• DOI: 10.1088/1674-4527/21/1/2

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 (SN Ia) observations. We obtain constraints on different relevant parameters of this model from the observational data. We consider a homogeneous scalar field ϕ(t) driven by a k-essence Lagrangian of the form L = V(ϕ)F(X) with constant potential V(ϕ) = 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 SN Ia (JLA) data, we have obtained the time-dependence of the k-essence scalar field and also reconstructed the form of the function F(X) in the k-essence Lagrangian.