Diffusive dark matter and dark energy scenario and $k-$essence in the context of Supernova Ia observations

Abstract

We consider a unified model of interacting dark matter and dark energy to account for coincidence of present day dark energy and dark matter densities. We assume dark energy to be represented by a homogeneous scalar field $\varphi$ whose dynamics is driven by a (non-canonical) $k$-essence Lagrangian with constant potential and the particles of dark matter fluid undergoing velocity diffusion in background medium of the $k-$essence scalar field $\varphi$. This results in a transfer of energy from the fluid of dark matter to that of dark energy. This effect shows up as a source term in the continuity equation for dark matter and dark energy fluids. The source term involves a diffusion coefficient which is a measure of average energy transferred per unit time due to diffusion. We use time evolutions of the scale factor of background FRW spacetime, energy density and pressure of the dark fluid obtained from analysis of Supernova Ia data to obtain bounds on the diffusion parameter. For a constant potential in the $k$-essence Lagrangian, the temporal behaviour of a homogeneous $k$-essence field $\varphi$ is obtained for different values of the diffusion parameter. The obtained temporal behaviour may be expressed as $\varphi (t/t_0)={\varphi }_0+{\epsilon }_1(t/t_0-1)+{\epsilon }_2(t/t_0-1{)}^2$, where $t_0$ is the time corresponding to present epoch. The coefficients ${\epsilon }_1$ and ${\epsilon }_2$ have been found and obtained as linear functions of diffusion parameter.

14 pages, 4 figures

References in corpus (9)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• The Sloan Digital Sky Survey-II Supernova Survey: Technical Summary
• SNLS3: Constraints on Dark Energy Combining the Supernova Legacy Survey Three Year Data with Other Probes
• Dynamics of the diffusive DM-DE interaction--dynamical system approach
• Does the diffusion DM-DE interaction model solve cosmological puzzles?
• Exploring the cosmological consequences of JLA supernova data with improved flux-averaging technique

Cited by in corpus (8)

• Dynamics of viable $f(R)$ dark energy models in the presence of Curvature-Matter interactions
• Time-dependent diffusive interactions between dark matter and dark energy in the context of $k-$essence cosmology
• Dynamical analysis of coupled curvature-matter scenario in viable $f(R)$ dark energy models at de Sitter phase
• 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
• Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario
• A comprehensive dynamical and phenomenological analysis of structure growth in curvature-modulated coupled quintessence scenario
• Observational and Thermodynamic aspects of one-dimensional Dark Energy EoS parametrization models