Formation of supermassive black holes from N self-gravitating small black holes: A thermodynamic study

Both statistical and thermodynamic aspects are used to analyze the collapse of N self-gravitating black holes that result in the formation of supermassive black holes. The change in energy and entropy of the system in relation to the masses of the constituent black holes and their numbers are obtained. The transition temperature for the change from the high-temperature interacting gas (or particles) to the low-temperature condensed state of black holes in forming supermassive black hole is determined.