Sonic velocity in holographic fluids and its applications

Abstract

Gravity/fluid correspondence becomes an important tool to investigate the strongly correlated fluids. We carefully investigate the holographic fluids at the finite cutoff surface by considering different boundary conditions in the scenario of gravity/fluid correspondence. We find that the sonic velocity of the boundary fluids at the finite cutoff surface is critical to clarify the superficial similarity between bulk viscosity and perturbation of the pressure for the holographic fluid, where we set a special boundary condition at the finite cutoff surface to explicitly express this superficial similarity. Moreover, we further take the sonic velocity into account to investigate a case with more general boundary condition. In this more general case, two parameters in the first order stress tensor of holographic fluid cannot be fixed, one can still extract the information of transport coefficients by considering the sonic velocity seriously.

13 pages; version accepted by Chinese Physics C

References in corpus (19)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Bulk viscosity of gauge theory plasma at strong coupling
• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Fluid/gravity model for the chiral magnetic effect
• A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Hydrodynamics with conserved current from the gravity dual
• Holographic Wilsonian RG Flow and Sliding Membrane Paradigm
• Magnetohydrodynamics from gravity
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Holographic RG Flow and Sound Modes of sQGP
• Universality in the stress tensor for Holographic fluids at the finite cutoff surface via fluid/gravity correspondence