Modified Yang–Lee theory for nonlocal gravitational potential and their phase transition

Abstract

In this paper, we describe the extension to study the thermodynamics of the structure formation in the large-scale Universe in the nonlocal gravity formalism using standard statistical mechanics. From the derivation of the grand partition function in a modified version of the Yang–Lee theory, we obtained the corresponding thermodynamics properties that can be in consistency with a Bose–Einstein dark matter framework and derive its gravitational phase transition.