Langevin dynamics in crossed magnetic and electric fields: Hall and diamagnetic fluctuations.
Langevin dynamics in crossed magnetic and electric fields: Hall and diamagnetic fluctuations.
复制标题
交叉磁场和电场中的朗之万动力学：霍尔和抗磁涨落。
DOI：
10.1103/physreve.78.052102
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Narendra Kumar
中科院分区：
文献类型：
--
作者：
D. Roy;Narendra Kumar
从经典的朗之万方程出发，重新讨论了带电粒子在有或无面内偏置的垂直磁场作用下的二维轨道运动问题。我们导致了两个有趣的波动效应：第一，我们不仅得到了纵向的“工作波动”的正压型系统的预期关系，但也横向的工作波动关系垂直于电偏压。这种“霍尔涨落”涉及电场和磁场的乘积。第二，对于没有偏置的谐波约束的情况下，计算的概率密度的轨道磁矩给出非零的甚至时刻，不能推导出的经典自由能的领域的衍生物。
Based on the classical Langevin equation, we have revisited the problem of orbital motion of a charged particle in two dimensions for a normal magnetic field crossed with or without an in-plane electric bias. We are led to two interesting fluctuation effects: First, we obtain not only a longitudinal "work-fluctuation" relation as expected for a barotropic type system, but also a transverse work-fluctuation relation perpendicular to the electric bias. This "Hall fluctuation" involves the product of the electric and the magnetic fields. Second, for the case of harmonic confinement without bias, the calculated probability density for the orbital magnetic moment gives nonzero even moments, not derivable as field derivatives of the classical free energy.