Dynamics of phase transition in Quark–Gluon plasma droplet formation under magnetic field

Pre-existing density of states for a Quark–Gluon Phase, based on Thomas–Fermi and Bethe models, is expanded by incorporation of new variables. There are several motivations for adding new variables to the model. Moreover, results from recent studies indicate that perturbations in the form of a finite nonzero chemical potential [Formula: see text], magnetic field [Formula: see text], dynamic thermal masses [Formula: see text] and of course Temperature [Formula: see text] are indeed vital to fully comprehend the formation and dynamics of Quark–Gluon Plasma (QGP). Simulations, carried out as part of this study, depict an overall increase in the stability of QGP in the paradigm of the statistical model. On top of Free Energy, Entropy and Heat Capacity are calculated for the phase transition. The overall qualitative behavior of Entropy or Heat Capacity determines the order of phase transition of the QGP. Investigation of this “order” is carried out in this study through a Monte Carlo based differential element, which ensures the inclusion of the randomness of the collisions at the particle colliders. Moreover, the speed of sound for the plasma is calculated, which is in agreement with Lattice Quantum Chromo dynamics (QCD) calculations, within the margin of error.