A Stochastic Model for Electron-Hole Annihilation by Tunneling and Diffusion Based on a Nonlinear Smoluchowski Equations

K. Sabelfeld, A. Levykin, A. Kireeva
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Abstract

Based on a stochastic algorithm for simulation of annihilation of spatially separate electrons and holes in a disordered semiconductor, we present numerical results for the photon flux and luminescence in semiconductors. The model is based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. In the talk we focus on the segregation effect which we have found under certain reaction conditions.
基于非线性Smoluchowski方程的电子-空穴隧穿和扩散的随机模型
基于一种模拟无序半导体中空间分离电子和空穴湮灭的随机算法,给出了半导体中光子通量和发光的数值结果。该模型基于具有随机初始分布密度的空间非齐次非线性Smoluchowski方程。在演讲中,我们重点讨论了在某些反应条件下发现的偏析效应。
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