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Granular convection
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==Explanation== [[Image:Paranuss-Effekt_Brazil_Nut_Effect_Granular_Convection.webm|upright|thumb|A video demonstrating how shaking a bag of [[muesli]] causes the larger ingredients to rise to the surface]] It may be [[counterintuitive]] to find that the largest and (presumably) heaviest particles rise to the top, but several explanations are possible: * When the objects are irregularly shaped, random motion causes some oblong items to occasionally turn in a vertical orientation. The vertical orientation allows smaller items to fall beneath the larger item.<ref name=":0" /> If subsequent motion causes the larger item to re-orient horizontally, then it will remain at the top of the mixture.<ref name=":0" /> * The [[center of mass]] of the whole system (containing the mixed nuts) in an arbitrary state is not optimally low; it has the tendency to be higher due to there being more empty space around the larger Brazil nuts than around smaller nuts.{{citation needed|date=December 2011}} When the nuts are shaken, the system has the tendency to move to a lower energy state, which means moving the center of mass down by moving the smaller nuts down and thereby the Brazil nuts up.{{citation needed|date=December 2011}} * Including the effects of [[air]] in spaces between particles, larger particles may become [[buoyancy|buoyant]] or sink. Smaller particles can fall into the spaces underneath a larger particle after each shake. Over time, the larger particle rises in the mixture. (According to [[Heinrich Jaeger]], "[this] explanation for size separation might work in situations in which there is no granular convection, for example for containers with completely frictionless side walls or deep below the surface of tall containers (where convection is strongly suppressed). On the other hand, when friction with the side walls or other mechanisms set up a convection roll pattern inside the vibrated container, we found that the convective motion immediately takes over as the dominant mechanism for size separation."<ref>{{cite web|url=https://www.pbs.org/safarchive/3_ask/archive/qna/3294_sand.html |title=Sidney Nagel and Heinrich Jaeger Q&A |publisher=Pbs.org |accessdate=2010-09-27}}</ref>) * The same explanation without buoyancy or center of mass arguments: As a larger particle moves upward, any motion of smaller particles into the spaces underneath blocks the larger particle from settling back in its previous position. Repetitive motion results in more smaller particles slipping beneath larger particles. A greater density of the larger particles has no effect on this process. Shaking is not necessary; any process which raises particles and then lets them settle would have this effect. The process of raising the particles imparts potential energy into the system. The result of all the particles settling in a different order may be an increase in the potential energyโa raising of the center of mass.{{cn|date=March 2025}} * When shaken, the particles move in vibration-induced [[convection]] flow; individual particles move up through the middle, across the surface, and down the sides. If a large particle is involved, it will be moved up to the top by convection flow. Once at the top, the large particle will stay there because the convection currents are too narrow to sweep it down along the wall. * The pore size distribution of a random packing of hard spheres with various sizes makes that smaller spheres have larger probability to move downwards by gravitation than larger spheres.<ref>W.Soppe, Computer simulation of random packings of hard spheres, Powder Technology, Volume 62, Issue 2, August 1990, Pages 189-197, https://doi.org/10.1016/0032-5910(90)80083-B</ref> The phenomenon is related to [[Parrondo's paradox#The saw-tooth example|Parrondo's paradox]] in as much as the Brazil nuts move to the top of the mixed nuts against the gravitational gradient when subjected to random shaking.<ref>{{cite book |last=Abbott | first=Derek | authorlink=Derek Abbott |title=Applications of Nonlinear Dynamics |publisher=Springer |year=2009 |pages=307โ321 |chapter=Developments in Parrondo's Paradox |isbn=978-3-540-85631-3}}</ref>
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