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We study the $P-V$ critical behaivor of N-dimensional AdS black holes inEinstein-Maxwell-power-Yang-Mills gravity. Our results show the existence ofthe Van der Waals like small-large black hole phase transitions when takingsome special values of charges of the Maxwell and Yang-Mills (YM) fields.Further to calculate the critical exponents of the black holes at the criticalpoint, we find that they are the same as those in the Van der Waals liquid-gassystem.

$P-V$ criticality of AdS black hole in the Einstein-Maxwell-power-Yang-Mills gravity