TY - JOUR
T1 - Holographic Vortex Liquids and Superfluid Turbulence
JF - Science
JO - Science
SP - 368
LP - 372
DO - 10.1126/science.1233529
VL - 341
IS - 6144
AU - Chesler, Paul M.
AU - Liu, Hong
AU - Adams, Allan
Y1 - 2013/07/26
UR - http://science.sciencemag.org/content/341/6144/368.abstract
N2 - Turbulence in a superfluid presents an even more challenging theoretical problem than classical turbulence. Chesler et al. (p. 368) studied simulated superfluid turbulence using holographic duality. The direction of the energy flow in a two-dimensional superfluid was opposite to that in classical fluidsâ€”the energy injected at long length scales dissipated at short length scales through the vortices that form in a turbulent superfluid.Superfluid turbulence is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic approach to studying such quantum turbulence by mapping the dynamics of a strongly interacting quantum liquid into the dynamics of classical gravity. We use this gravitational description to numerically construct turbulent flows in a holographic superfluid in two spatial dimensions. We find that the superfluid kinetic energy spectrum obeys the Kolmogorov scaling law, with energy injected at long wavelengths undergoing a direct cascade to short wavelengths where dissipation by vortex annihilation and vortex drag becomes efficient. This dissipation has a simple gravitational interpretation as energy flux across a black hole event horizon.
ER -