  Based on a canonical framework, we investigate the critical behavior of
Born-Infeld AdS black holes in higher dimensions. As a special case,
considering the appropriate limit, we also analyze the critical phenomena for
Reissner Nordstrom AdS black holes. The critical points are marked by the
divergences in the heat capacity at constant charge. The static critical
exponents associated with various thermodynamic entities are computed and shown
to satisfy the thermodynamic scaling laws. These scaling laws have also been
found to be compatible with the static scaling hypothesis. Furthermore, we show
that the values of these exponents are universal and do not depend on the
spatial dimensionality of the AdS space. We also provide a suggestive way to
calculate the critical exponents associated with the spatial correlation which
satisfy the scaling laws of second kind.
