Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target
作者: Karl Sabelfeld
作者单位: 1Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk, Russia
2Novosibirsk State University, Russia
刊名: Journal of Computational Physics, 2020, Vol.410
来源数据库: Elsevier Journal
DOI: 10.1016/
关键词: Narrow escape problemsFirst passage timeDrift-diffusion-reaction equationsRandom walk on spheresCathodoluminescence imaging
原始语种摘要: Abstract(#br)We suggest in this paper a new stochastic simulation algorithm for solving narrow escape problems governed by drift-diffusion-reaction equations of high dimension. The developed method drastically improves the efficiency of the diffusion trajectory tracking algorithm by introducing an artificial drift directed to the target position. The method is especially appropriate to solve narrow escape problems for domains of very long extension in one direction which is the case in many practical problems. We present simulation results for a diffusion transport problem of calculation of cathodoluminescence intensity, a diffusion flux of excitons to a threading dislocation, and the electron beam induced current in a semiconductor. The diffusion tracking algorithm is based on the random...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • diffusion 扩散
  • drift 水平巷道
  • escape 摆脱
  • narrow 狭窄的
  • simulation 模拟
  • solving 求解
  • calculation 计算
  • tracking 跟踪
  • semiconductor 半导体
  • target 目标