Second order Galilean fluids & Stokes' law
arXiv:1711.09076 · doi:10.1103/PhysRevD.97.096018
Abstract
We study the second derivative effects on the constitutive relations of an uncharged parity-even Galilean fluid using the null fluid framework. Null fluids are an equivalent representation of Galilean fluids in terms of a higher dimensional relativistic fluid, which makes the Galilean symmetries manifest and tractable. The analysis is based on the offshell formalism of hydrodynamics. We use this formalism to work out a generic algorithm to obtain the constitutive relations of a Galilean fluid up to arbitrarily high derivative orders, and later specialise to second order. Finally, we study the Stokes' law which determines the drag force on an object moving through a fluid, in presence of certain second order terms. We identify the second order transport coefficients which leave the drag force invariant.
32 + 1 pages, 10 tables
References in corpus (8)
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- The eightfold way to dissipation
- Conformal non-relativistic hydrodynamics from gravity
- Entropy Current from Partition Function: One Example
- Moduli and electromagnetic black brane holography
- On the surface of superfluids
- First Order Galilean Superfluid Dynamics