Dynamics of vortex nucleation by rapid thermal quench

By numerical and analytical studies of the time-dependent Ginzburg-Landau model we show that vortex nucleation in superfluid ${}^3\mathrm{He}$ by rapid thermal quench in the presence of superflow is dominated by a transverse instability of the moving normal-superfluid interface. The instability threshold is found analytically as a function of supercurrent density and the front velocity. The dynamics of vortex evolution at long times after the quench is investigated.