Dark energy models through nonextensive Tsallis’ statistics

•Analysis of dark energy models via Tsallis formalism.•Discussion of the observational tests and constraints through non-extensive point of view.•The qq-parameter physics of dark energy models and the observable Universe.

The accelerated expansion of the Universe is one of the greatest challenges of modern physics. One candidate to explain this phenomenon is a new field called dark energy. In this work we have used the Tsallis nonextensive statistical formulation of the Friedmann equation to explore the Barboza–Alcaniz and Chevalier–Polarski–Linder parametric dark energy models and the Wang–Meng and Dalal vacuum decay models. After that, we have discussed the observational tests and the constraints concerning the Tsallis nonextensive parameter. Finally, we have described the dark energy physics through the role of the qq-parameter.