Large-deviation quantification of boundary conditions on the Brazil nut effect

We present a discrete element method study of the uprising of an intruder immersed in a granular media under vibration, also known as the Brazil Nut Effect. Besides confirming granular ratcheting and convection as leading mechanisms to this odd behavior, we evince the role of the resonance on the rising of the intruder by using periodic boundary conditions (pbc) in the horizontal direction to avoid wall-induced convection. As a result, we obtain a resonance-qualitylike curve of the intruder ascent rate as a function of the external frequency, which is verified for different values of the inverse normalized gravity Gamma, as well as the system size. In addition, we introduce a large deviation function analysis which displays a remarkable difference for systems with walls or pbc.

Automated summary

The study used a discrete element method to investigate the uprising of an intruder in a granular media under vibration, confirming granular ratcheting and convection as leading mechanisms. The role of resonance on the intruder's rising was demonstrated, and a resonance-qualitylike curve of the ascent rate as a function of external frequency was obtained and verified for different values of gravity and system size. Additionally, a large deviation function analysis showed a significant difference between systems with walls and pbc.