Existence of weak solution and semiclassical limit for quantum drift-diffusion model
Existence of weak solution and semiclassical limit for quantum drift-diffusion model
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DOI：
10.1007/s00033-005-0051-4
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Li Chen;Q. Ju
中科院分区：
文献类型：
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作者：
Li Chen;Q. Ju
讨论了半导体模拟中一维瞬态量子漂移扩散模型解的存在性和半经典极限。除了证明弱解的存在性外，还得到了该解的半经典极限解经典漂移扩散模型。关键的估计依赖于由量子准费米能级分离导出的熵不等式。
The existence and semiclassical limit of the solution to one-dimensional transient quantum drift-diffusion model in semiconductor simulation are discussed. Besides the proof of existence of the weak solution, it is also obtained that the semiclassical limit of this solution solves the classical drift-diffusion model. The key estimates rest on the entropy inequalities derived from separation of quantum quasi-Fermi level.