Energy dependence of event-by-event kaon fluctuation in $\mathrm{Au + Au}$ collisions at $\sqrt{s_{NN}}=19.6{-}200$ GeV — a simulated study

A detailed study of energy dependence of event-by-event pseudo-rapidity fluctuations of the produced kaons in $\mathrm{Au + Au}$ collisions at $\sqrt{s_{NN}}=19.6{-}200\,$GeV in terms of the $\Phi$ measure has been carried out in the framework of UrQMD model. The study of event-by-event kaon fluctuation in pseudo-rapidity space reveals energy dependence. It has been seen that as energy increases event-by-event fluctuation increases for both positive and negative kaons. Moreover, the positive kaons show larger event-by-event fluctuations than the negative kaons.