Weakly entrained transport tuned by interface noises wave

We conducted a detailed derivation of the possible entrainment in a cylinder filled with 4He and 3He which is induced by a small-amplitude surface elastic wave propagating along the flexible interface by considering the nonlinear coupling between the interface and the microscopic (slip) effect of dynamic vacancies as well as He-3 impurities. We numerically obtain possible critical bounds for frozen or zero-flux states corresponding to specific rarefaction measure and wave number which might be relevant to the rather small critical velocity or disappearance of geyser effect and frictionless transport of flowing helium crystal reported before. Our numerical results demonstrate that the complicated boundary or interface induced transport can produce a net effect resembling the transition-state as well as reaction kinetics.