The most probable distributions with finite number of particles and the applications on Bose–Einstein condensation

Motivated by the asynchronous finite differences method utilized for calculation of most probable distributions particle number systems, this study employs numerical variation and central difference techniques to provide more precise estimations regarding these distributions. Specifically, three novel are derived applied Bose–Einstein condensation, revealing that critical condition (nλ3 = 2.612) may be relaxed in scenarios. Moreover, maintaining density as a constant is anticipated result higher temperature compared infinite systems. Notably, obtained condensate on zero-energy level surpasses predictions generated canonical