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Holographic Forced Fluid Dynamics in Non-relativistic Limit
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We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of gravitational field equations. We use the non-relativistic fluid expansion method to study the Einstein-Maxwell-dilaton system with a negative cosmological constant, and obtain the holographic incompressible forced Navier-Stokes equations of the dual fluid at AdS boundary and at a finite cutoff surface, respectively. The concrete forms of external forces are given.
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Cited by 1 Pith paper
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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.
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