Thermodynamic Study of Galaxy Clusters by a Relativistically Corrected Newtonian Potential

Abstract

We investigate the thermodynamic behavior of galaxy clusters by employing statistical mechanical techniques. The canonical partition function is derived under this modified potential, from which key thermodynamic quantities including entropy, enthalpy, specific heat, and chemical potential are deduced. We make a comparison of the distribution function developed under the relativistically corrected gravitational potential with the distribution pattern deduced from data obtained via Data Release 10, 12 (DR10, 12) of Sloan Digital Sky Survey (SDSS).