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Random close pack : ウィキペディア英語版
Random close pack
Random close packing (RCP) is an empirical parameter used to characterize the maximum volume fraction of solid objects obtained when they are packed randomly. For example, when a solid container is filled with grain, shaking the container will reduce the volume taken up by the objects, thus allowing more grain to be added to the container. In other words shaking increases the density of packed objects.
Experiments have shown that the most compact way to pack spheres randomly gives a maximum density of about 64%. Most recent research predicts analytically that the volume fraction filled by the solid objects in random close packing cannot exceed a density limit of 63.4% for (monodisperse) spherical objects. This is significantly smaller than the maximum theoretical filling fraction of 0.74048 that results from hexagonal close pack (HCP – also known as close-packing). This discrepancy demonstrates that the "randomness" of RCP is vital to the definition.
==Definition==
Random close packing does not have a precise geometric definition. It is defined statistically, and results are empirical. A container is randomly filled with objects, and then the container is shaken or tapped until the objects do not compact any further, at this point the packing state is RCP. The definition of packing fraction can be given as: "the volume taken by number of particles in a given space of volume". In other words packing fraction defines the packing density. It has been shown that the filling fraction increases with the number of taps until the saturation density is reached. Also, the saturation density increases as the tapping amplitude decreases. Thus RCP is the packing fraction given by the limit as the tapping amplitude goes to zero, and the limit as the number of taps goes to infinity.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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