Phase separation dynamics in binary systems containing mobile particles with variable Brownian motion

In this paper, we consider a particular form of coupling, namely \(B=\sigma (\dot{\rho _m}-\dot{\rho _\phi })\) in spatially flat (\(k=0\)) Friedmann–Lemaitre–Robertson–Walker (FLRW) space–time. We perform phase-space analysis for this interacting quintessence (dark energy) and dark matter model for different numerical values of parameters. We also show the phase-space analysis for the ‘best-fit Universe’ or concordance model. In our analysis, we observe the existence of late-time scaling attractors.