  In this paper, we will analyze the effects of super-light brane world
perturbative modes on clustering of galaxies. In present manuscript, we use the
Boltzmann and Tsallis statistical approaches to study the large distance
modification of gravity in the brane world. The impact of modified potential on
clustering of galaxies is analyzed in both the approaches. The infinities
associated with Newtonian point mass approximation of gravity models is removed
using the analytical extensions. The regularized and finite partition function
is obtained for the system of galaxies in the brane world model and is used to
evaluate the regularized thermodynamic properties of the system in the form of
equations of state. Hence, we study thermodynamic quantities and discuss about
the thermodynamic stability of the model. We find that large number of galaxies
may lead to the thermodynamic instability.
