There was a seminal paper on this in Physical Review Letters.
1. Rosato, A., Strandburg, K. J., Prinz, F. & Swendsen, R. H. Why the Brazil Nuts are On Top: Size Segregation of Particulate Matter by Shaking. Physical Review Letters 58, 1038-1040 (1987).
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1. Rosato, A., Strandburg, K. J., Prinz, F. & Swendsen, R. H. Why the Brazil Nuts are On Top: Size Segregation of Particulate Matter by Shaking. Physical Review Letters 58, 1038-1040 (1987).