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Large-deviation quantification of boundary conditions on the Brazil nut effect
Gustavo H B Martins1, Welles A M Morgado2, Sílvio M Duarte Queirós3
1Programa de Pós Graduação em Modelagem Matemática e Computacional, Centro Federal de Educação Tecnológica de Minas Gerais-CEFET-MG. Av. Amazonas 7675, 30510-000, Belo Horizonte, Minas Gerais, Brazil.
Abstract:
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 Γ, 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.
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