Clustering of Galaxies with f(R) gravity
  Based on thermodynamics, we discuss the galactic clustering of expanding
Universe by assuming the gravitational interaction through the modified
Newton's potential given by $f(R)$ gravity. We compute the corrected
$N$-particle partition function analytically. The corrected partition function
leads to more exact equations of states of the system. By assuming that system
follows quasi-equilibrium, we derive the exact distribution function which
exhibits the $f(R)$ correction. Moreover, we evaluate the critical temperature
and discuss the stability of the system. We observe the effects of correction
of $f(R)$ gravity on the power law behavior of particle-particle correlation
function also. In order to check feasibility of an $f(R)$ gravity approach to
the clustering of galaxies, we compare our results with an observational galaxy
cluster catalog.
