Discrete Kernel Preserving Model for 1D Electron–Optical Phonon Scattering
Discrete Kernel Preserving Model for 1D Electron–Optical Phonon Scattering
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DOI：
10.1007/s10915-014-9858-5
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发表时间：
2015-02
影响因子：
2.5
通讯作者：
Ruo Li;Tiao Lu;Wenqi Yao
中科院分区：
文献类型：
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作者：
Ruo Li;Tiao Lu;Wenqi Yao
本文用有限体积法研究了电子-光学声子散射的离散化问题。离散化是保守的质量，基本上是基于能量的观点。这导致了具有优雅数学特征的离散散射系统，这些特征得到了充分阐明。详细研究了离散散射矩阵的稀疏性、对称性、特征值和特征向量的结构。揭示了网格点的设置策略，从而得到合适的散射矩阵，以保持离散散射核的唯一性。数值结果验证了这些理论研究结果。
We investigate the discretization of of an electron–optical phonon scattering using a finite volume method. The discretization is conservative in mass and is essentially based on an energy point of view. This results in a discrete scattering system with elegant mathematical features, which are fully clarified. Precisely the discrete scattering matrix is thoroughly studied, including its sparsity pattern and its symmetries, the structure of its eigenvalues and eigenvectors. It makes us reveal the strategy to setup grid points, so that the proper scattering matrix can be obtained to preserve the unique discrete scattering kernel. Numerical results are presented to validate these theoretical findings.