Supersonic and subsonic shock waves in the unitary Fermi gas
Dipartimento di Fisica “Galileo Galilei” and CNISM, Università di Padova - Via Marzolo 8, 35131 Padova, Italy, EU
Accepted: 29 September 2011
We investigate shock waves in the unitary Fermi gas by using the zero-temperature equations of superfluid hydrodynamics. We obtain analytical solutions for the dynamics of a localized perturbation of the uniform gas. These supersonic bright and subsonic dark solutions produce, after a transient time, an extremely large (divergent) density gradient: the shock. We calculate the time of formation of the shock and also simulate the space-time behavior of the waves by solving generalized hydrodynamic equations, which include a reliable dispersive regularization of the shock. We find that the shock spreads into wave ripples whose properties crucially depend on the chosen initial configuration.
PACS: 03.75.Ss – Degenerate Fermi gases / 47.40.Nm – Shock wave interactions and shock effects
© EPLA, 2011