Stationary convection in a dilute rotating 3He-superfluid 4He mixture: a linear stability analysis

A fluid layer subject to a vertical temperature gradient will start convecting when the temperature difference across the layer exceeds a critical value. A linear stability analysis is performed to calculate this critical value for a dilute 3He-superfluid 4He mixture rotating about a vertical axis. Significant differences from the result for a classical fluid are shown which arise from the presence of vortex mutual friction in the equations of motion. Unlike the non-rotating case these differences should be experimentally observable