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We investigate a phenomenon of creation of excitations in the homogenousBose-Einstein condensate due to an impurity moving with a constant velocity. Asimple model is considered to take into account dynamical effects due tomotions of the impurity. Based on this model, we show that there can be afinite amount of excitations created even if velocity of the impurity is belowLandau's critical velocity. We also show that the total number of excitationsscales differently for large time across the speed of sound. Thus, our resultdictates the critical behavior across Landau's one and validates Landau'sinstitution to the problem. We discuss how Landau's critical velocity emergesand its validity within our model.

Creation of excitations from a uniform impurity motion in the condensate