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We discuss black hole solutions of Einstein gravity in presence of nonlinearelectrodynamics in dS spacetime. Considering prescribed entropy, thermodynamicvolume of dS spacetime, We investigate properties of the effectivethermodynamic quantities under influence of nonlinearity parameter $\alpha$.They show a similar phase transition and criticality properties with that ofblack holes in AdS spacetime. And the nonlinearity parameter $\alpha$ combinedwith electric charge is found to have effects on the phase structure. By theEhrenfest equations we prove the critical phase transition is a second orderequilibrium transition.

Thermodynamics and critical behaviors of topological dS black holes with nonlinear source