Small amplitude forced fluid dynamics from gravity at T=0

Forced fluid dynamics from gravity in arbitrary dimensions

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a dilaton-dependent forcing term. Certain forced fluid flows are known to exhibit turbulence; holographic duals of forced fluid dynamics are therefore of particular inter...

Nonlinear Fluid Dynamics From Gravity

Nonlinear Head-Neck Dynamics at Small Amplitude Perturbations

It has been previously reported that head-neck neuromechanical system demonstrates nonlinear characteristics in its response to small amplitude perturbations by looking at the sign of the largest Lyapunov exponent of the system dynamics and the correlation dimension estimates computed at the Poincaré sections [9,21]. Twelve healthy young adults seated on a linear sled randomly received anterior...

On Subextensive Corrections to Fluid Dynamics from Gravity

We use the fluid-gravity correspondence to compute subextensive corrections, proportional to the shear tensor, to the energy-momentum tensor of fluids on threespheres. The dual configurations we consider are charged black hole solutions of N = 2 gauged supergravity theories in five dimensions.

Momentum relaxation from the fluid/gravity correspondence

We provide a hydrodynamical description of a holographic theory with broken translation invariance. We use the fluid/gravity correspondence to systematically obtain both the constitutive relations for the currents and the Ward identity for momentum relaxation in a derivative expansion. Beyond leading order in the strength of momentum relaxation, our results differ from a model previously propos...