Statistical Algorithms for Simulation of Electron Quantum Kinetics in Semiconductors - Part I

Authors:
T. V. Gurov;Paula A. Whitlock
Affiliations:
-;-
Venue:
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Year:
2001

Citing 2
Cited 1

Algorithm 806: SPRNG: a scalable library for pseudorandom number generation

ACM Transactions on Mathematical Software (TOMS)
An efficient backward Monte Carlo estimator for solving of a quantum-kinetic equation with memory kernel

Mathematics and Computers in Simulation

Monte Carlo and Quasi-Monte Carlo Algorithms for the Barker-Ferry Equation with Low Complexity

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications

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Abstract

In this work we solve the Barker-Ferry equation which accounts for the quantum character of the electron-phonon interaction in semiconductors in the framework of the Monte Carlo (MC) method. The first part of the work considers the zero electric field formulation of the equation in spherical coordinates. Different MC algorithms for solving the equation are suggested and investigated.In the second part of the work we consider the case of an applied electric field. It is shown that the second algorithm from the first part can be successfully modified to account for the cylindrical symmetry of the task.