Propagation of non-linear waves in hot, ideal, and non-extensive quark–gluon plasma

Abstract

AbstractWe study the propagation of energy density perturbation in a hot, ideal quark–gluon medium in which quarks and gluons follow the Tsallis-like momentum distributions. We have observed that a non-extensive MIT bag equation of state obtained with the help of the quantum Tsallis-like distributions gives rise to a breaking wave solution of the equation dictating the evolution of energy density perturbation. However, the breaking of waves is delayed when the value of the Tsallisqparameter and the Tsallis temperatureTare higher.