  We explored the impact of mass fluctuations on anti-de Sitter black holes in
higher dimensions, particularly focusing on their effects on thermodynamic
properties and null trajectories of the black holes. Our findings indicate that
mass oscillations lead to perturbations in thermodynamic variables and
geodesics. These result in the second-order fluctuations for the location of
the horizon, thereby altering the Hawking temperature and Bekenstein--Hawking
entropy. Furthermore, we derived equations for perturbed null rays near the
horizon with arbitrary dimensions and for complete null rays in the large $D$
limit.
