  Within the extended phase space thermodynamics, we study aspects of power
Yang-Mills and power Maxwell black holes at criticality, as the corresponding
non-linearity power parameters $\gamma$ and $s$ are varied. On comparison, the
approach of efficiency of heat engines to Carnot limit in both the systems is
shown to coincide when $\gamma =s=1$. For $\gamma=s> (<) 1$, Maxwell
(Yang-Mills) system dominates over Yang-Mills (Maxwell). The motion of charged
particles in the critical Power Yang-Mills system is then investigated,
together with a study of variation of critical mass to charge ratios with the
power $\gamma$.
