  In this paper, based on the holographic techniques, we explore the
hydrodynamics of charge diffusion phenomena in non commutative $ \mathcal{N}=4
$ SYM plasma at strong coupling. In our analysis, we compute the $ R $ charge
diffusion rates both along commutative as well as the non commutative
coordinates of the brane. It turns out that unlike the case for the shear
viscosity, the DC conductivity along the non commutative direction of the brane
differs significantly from that of its cousin corresponding to the commutative
direction of the brane. Such a discrepancy however smoothly goes away in the
limit of the vanishing non commutativity.

High Energy Physics - Theory