论文标题
固定厅效应的随机描述
Stochastic description of the stationary Hall effect
论文作者
论文摘要
表征在大厅杆中表征固定厅效应的性能源自兰格文方程，这些方程描述了在恒定的外部施加电磁场中相互作用移动电荷的布朗运动。证明一个不均匀的电流密度a）注入的一个叠加，b）被限制在位于debye-fermi长度尺度靠近边缘的边界层中，c）由于边缘的电荷积累而产生的是由于扩散和传导之间的耦合而产生的。该理论可以很容易地被转移以描述金属，半导体和等离子体中的霍尔效应，并同意标准和先前发表的结果。
The properties which characterize the stationary Hall effect in a Hall bar are derived from the Langevin equations describing the Brownian motion of an ensemble of interacting moving charges in a constant externally applied electromagnetic field. It is demonstrated that a non-uniform current density a) superimposes on the injected one, b) is confined in a boundary layer located near the edges over the Debye-Fermi length scale c) results from the coupling between diffusion and conduction and d) arises because of charge accumulation at the edges. The theory can easily be transposed to describe the Hall effect in metals, semi-conductors and plasmas and agrees with standard and previously published results.
