弱反转FET中非高斯白噪声的Fokker-Planck方程解

Armien John I. Samson
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引用次数: 0

摘要

研究了弱反转条件下的电荷输运动力学。在这种情况下,电荷分布和传播的不确定性占主导地位。对弱反转期间存在的白噪声进行了一些假设,其中包括遵循马尔可夫过程的概率函数,并且可以表示为具有非高斯性质,因为由于栅极电子的存在而在金属上积累的电荷遵循非高斯分布。利用列维-钦公式对系统进行了分析,该公式适用于系统扰动源的非均匀行为。通过分析噪声源的特征函数,求出等效Fokker-Planck方程的解,得到了这类白噪声在存在和不存在外界影响时的粒子概率通量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solutions to Fokker-Planck Equations for Non-Gaussian White Noise in FET Undergoing Weak Inversion
We study the dynamics of charge transport under weak inversion. In this regime, uncertainties in the charge distribution and propagation are dominant. A couple of assumptions were made for the white noises present during weak inversion which include the probability function following a Markov process and can be represented as having non-Gaussian properties as the charges accumulating at the metal due to the presence of the gate electrons follow a non-Gaussian distribution. The system is be analyzed using the Levy-Khintchine formula which works when the source of perturbation to the system behaves in non-uniform manner. The probabilistic particle fluxes are obtained for this type of white noises in the presence and in the absence of any external influences by analyzing the characteristic function of the noisy source and finding the solutions of the equivalent Fokker-Planck equation.
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