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The smeared Dp-brane is constructed by having the black Dp-brane uniformlysmeared over several transverse directions. After integrating the sphericaldirections and the smeared directions, the smeared Dp-brane turns out to be aChamblin-Reall model with one background scalar field. Within the framework ofthe fluid/gravity correspondence, we not only prove the equivalence between thesmeared Dp-brane and the compactified Dp-brane by explicitly calculating the 7dynamical second-order transport coefficients of their dual relativisticfluids, but also revisit the Correlated Stability Conjecture for the smearedDp-brane via the fluid/gravity correspondence.

The dynamical second-order transport coefficients of smeared Dp-brane