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

Holographic charge transport in non commutative gauge theories