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arXiv quant-ph/0406178quant-ph
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随机分布的平行偶极子内部的场

The field inside a random distribution of parallel dipoles

Janus H. Wesenberg, Klaus Molmer

摘要:

我们确定的概率分布内的电场或磁偶极子的随机均匀分布。对于平行偶极子,模拟和分析推导表明,虽然从任何球壳周围的探头位置的平均贡献消失,列维稳定分布的字段是对称的非零场振幅。此外,我们还展示了如何忽略探针周围的小体积的贡献导致场分布与消失的平均值,其中,在消失的排除体积的限制,收敛到移位分布。

英文摘要:

We determine the probability distribution for the field inside a random uniform distribution of electric or magnetic dipoles. For parallel dipoles, simulations and an analytical derivation show that although the average contribution from any spherical shell around the probe position vanishes, the Levy stable distribution of the field is symmetric around a non-vanishing field amplitude. In addition we show how omission of contributions from a small volume around the probe leads to a field distribution with a vanishing mean, which, in the limit of vanishing excluded volume, converges to the shifted distribution.

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