The authors derive second-order transport coefficients and the explicit driving force for non-conformal relativistic fluids dual to Chamblin-Reall gravity with a probe scalar field.
Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane
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abstract
We derive all the dynamical second order transport coefficients for Dp-brane with $p$ from 1 to 6 within the framework of fluid/gravity correspondence in this paper. The D5 and D6-brane do not have dual relativistic fluids; D3-brane corresponds to 4-dimensional conformal relativistic fluid; D1, D2 and D4-brane separately correspond to nonconformal relativistic fluids of dimensions 2, 3 and 5. The Haack-Yarom relation only exists for Dp-branes with $p$ larger than 2 and is also satisfied by them. We also find that the Romatschke and Kleinert-Probst relations need to be generalized in order to be valid for relativistic fluids of dimensions other than 4.
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Forced non-conformal relativistic fluid from the Chamblin-Reall gravity
The authors derive second-order transport coefficients and the explicit driving force for non-conformal relativistic fluids dual to Chamblin-Reall gravity with a probe scalar field.