  In this paper, we analyze the clustering of galaxies using a modified theory
of gravity, in which the field content of general relativity has been be
increased. This increasing in the field content of general relativity changes
the large distance behavior of the theory, and in weak field approximation, it
will also modify the large distance behavior of Newtonian potential. So, we
will analyzing the clustering of multi-component system of galaxies interacting
through this modified Newtonian potential. We will obtain the partition
function for this multi-component system, and study the thermodynamics of this
system. So, we will analyze the effects of the large distance modification to
the Newtonian potential on Helmholtz free energy, internal energy, entropy,
pressure and chemical potential of this system. We obtain also the modified
distribution function and the modified clustering parameter for this system,
and hence observe the effect of large distance modification of Newtonian
potential on clustering of galaxies.
