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

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