Sean GavinAHMED MASHLAWI MOHAMMED KHUBRANI2022-06-022022-06-02https://drepo.sdl.edu.sa/handle/20.500.14154/60691Correlation measurements in nuclear collisions provide new information on the interplay of dissipation and fluctuations in QGP. Viscous diffusion and thermal noise can broaden the rapidity dependence of two-particle transverse momentum correlations. In this thesis, we developed a new method for computing these correlations using the second-orderIsrael-Stewart hydrodynamics with stochastic noise. We further expanded this method by invoking third-order diffusion equations to enforce causality and generalization to asymmetric systems.en