Effect of nonfactorizable background geometry on thermodynamics of
  clustering of galaxies
  We study the effect of nonfactorizable background geometry on the
thermodynamics of the clustering of galaxies. A canonical partition function is
derived for the gravitating system of galaxies treated as point particles
contained in cells of appropriate dimensions. Various thermodynamic equations
of state, like Helmholtz free energy and entropy, among others, are also
obtained. We also estimate the effect of the corrected Newton law on the
distribution function of galaxies. Remarkably, the effect of the modified
Newton law is seen only in the clustering parameter while the standard
structure of the equations is preserved. A comparison of the modified
clustering parameter with that of the original clustering parameter is made to
visualize the effect of the correction on the time scale of clustering. The
possibility of system symmetry breaking is also analyzed by investigating the
behavior of the specific heat with increasing system temperature.
