An analogy between four parametrizations of the dark energy equation of state onto Physical DE Models

Abstract: In order to scrutinize the nature of Dark Energy, many Equations of State have been proposed. In this context we examine four popular models (the Chevallier-Polarski-Linder (CPL) model, Jassal model, Barboza & Alcaniz model and Wetterich model) in the field of quintessence and barotropic dark energy models, to compare with each other. We develop a theoretical method of constructing the quintessence potential directly from the four equations of state which describes the properties of the dark energy.