The present study aims to investigate the renowned Kicked Rotator, a classical system which exhibits regimes of either integrability or chaoticity under different system parameters. Our research will focus on the chaotic regime, and we will characterize the system by a ‘diffusivity’ constant. The aim of our project is to numerically investigate how this diffusivity constant depends on the system parameters i.e. the potential function and kicking strength, as well as to develop an analytic model to predict the diffusivity constant using appropriate series expansions. The findings have potential applications in the field of condensed matter physics such as with respect to the Anderson tight-binding model in cold atoms.