Experiments and characterization of low-frequency oscillations in a granular column

Abstract: The behaviour of a vertically vibrated granular bed is reminiscent of a liquid in that it exhibits many phenomena such as convection and Faraday-like surface waves. However, when the lateral dimensions of the bed are confined such that a quasi-one-dimensional geometry is formed, the only phenomena that remain are bouncing bed and the granular Leidenfrost effect. This permits the observation of the granular Leidenfrost state for a wide range of energy injection parameters, and more specifically allows for a thorough characterisation of the low-frequency oscillation (LFO) that is present in this state. In both experiments and particle simulations we determine the LFO frequency from the power spectral density of the centre of mass signal of the grains, varying the amplitude and frequency of the driving, the particle diameter and the number of layers in the system. We thus find that (i) the LFO frequency is inversely proportional to the fast inertial time scale and (ii) decorrelates with a typical decay time proportional to the slow dissipative time scale in the system. The latter is consistent with the view that the LFO is driven by the inherent noise that is present in the granular Leidenfrost state with a low number of particles.