随机电场中电偶极矩的动力学
The Dynamics of an Electric Dipole Moment in a Stochastic Electric Field
摘要：
本文求解了确定性和涨落电场中电偶极矩的平均场动力学，得到了高斯白噪声随机电场的偶极矩和角动量的平均涨落随时间的函数。平均电偶极矩和平均角动量沿确定性电场方向的分量不衰减到零，尽管电场的所有三个分量都有波动。这与所有三个分量都具有高斯白噪声的随机磁场中的磁矩波动平均值的衰减形成鲜明对比。垂直于确定性电场方向的平均电偶极矩和平均角动量的分量随时间振荡但衰减到零，并且它们的方差随时间增长。
英文摘要：
The mean-field dynamics of an electric dipole moment in a deterministic and a fluctuating electric field is solved to obtain the average over fluctuations of the dipole moment and the angular mo- mentum as a function of time for a Gaussian white noise stochastic electric field. The components of the average electric dipole moment and the average angular momentum along the deterministic electric field direction do not decay to zero, despite fluctuations in all three components of the elec- tric field. This is in contrast to the decay of the average over fluctuations of a magnetic moment in a stochastic magnetic field with Gaussian white noise in all three components. The components of the average electric dipole moment and the average angular momentum perpendicular to the deterministic electric field direction oscillate with time but decay to zero, and their variance grows with time.
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