Transport induced by Density Waves in a Andreev-Lifshitz Supersolid
  Macroscopic derivation of the entrainment in in a Andreev-Lifshitz Supersolid induced by a surface elastic wave propagating along the flexible interface is conducted by considering the nonlinear coupling between the interface and the rarefaction effect. We obtain the critical bounds for zero-volume-flow-rate states corresponding to specific rarefaction measure and wave number which is relevant to the rather small critical velocity of supersolid flows reported by Kim and Chan. 
Kwang-Hua W. Chu