An analytical study of the p/n junction space‐charge region under high forward voltage
The behavior of the p/n junction space‐charge region under high forward voltage is studied quantitatively and qualitatively by linearizing the Poisson equation. As examples, the symmetric step and linearly graded junction as special cases of a symmetric exponential doping profile are investigated. From the analytical solutions and their interpretation we obtain a detailed physical insight about the behavior of the space‐charge region capacitance and positions of the space‐charge region edges.
In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and Hajek–Renyi maximal inequality both in moment and capacity types in sublinear expectation spaces. Based on these, we establish several strong laws of large numbers for general random variables and obtain the growth rate of the partial sums. In a first application, a strong law of large numbers for negatively dependent random variables is obtained. In a second application, we consider the normalizing sequence \(\{\log n\} _{n\ge 1}\) and get some special limit properties in sublinear expectation spaces.