Onset of Convection in ^3He-^4He Mixtures Near Superfluid Transition Temperature: Effect of Temperature Modulation

The onset of convection in ^3He-^4He mixtures is considered with the temperature difference between the plates in the Rayleigh-Benard geometry modulated sinusoidally. The system can show stabilization or destabilization depending on the mean temperature. For oscillatory instability in the system the modulation leads to parametric resonances. We establish the stability pattern in perturbation theory.