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The phenomenologically emergent dark energy (PEDE) model is a varying darkenergy model with no extra degrees of freedom proposed by Li andShafieloo\citep{Li_2019} to alleviate the Hubble tension. The statisticalconsistency of the model has been discussed by many authors. Since the modeldepicts a phantom dark energy that increases with redshift, its cosmicevolution, particularly during the late phase, must be examined. We discoverthat the model's Hubble and deceleration parameters display unusual behaviourin the future, which differs from $\Lambda$CDM cosmology. We find the modelalso follows a distinct evolution in the statefinder plane. The phantom natureof the model leads to the violation of the null energy condition and a decreasein horizon entropy. The asymptotic future epoch also seems to be unstable basedon our dynamical system analysis as well as the stability analysis based ondark energy sound speed.

Thermal evolution and stability analysis of phenomenologically emergent dark energy model