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Probability density of the DMO and spontaneous (normalized) magnetization for N = 17 (top) and N = 45 (bottom) randomly oriented dipoles (see DMO of a Randomly Formed Cluster). The DMO distribution for one-dimensional dipoles (spin-up or spin-down) is shown for comparison, which on average leads to smaller DMO values than can be achieved with dipoles oriented at random in space. In one dimension, the DMO distribution is identical to the magnetization distribution.
