Courses / ActivitiesQuantum Drift-Diffusion Model in Semiconductor Simulation
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In this talk I will first give a brief introduction on the mathematical models in semiconductor simulation including classical and quantum models, microscopic and macroscopic models. Then I will switch to one of the macroscopic quantum models, the so called QDD model. We will show a series of results obtained recently, including the existence, semi-classical limit and long-time behavior of weak solutions to this kind of models. Our methods are based on semi-discretization in time for the approximation scheme and entropy estimates for compactness argument. The results on QDD model are joint works with X.Chen and Q.Ju.
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Li Chen
2008-07-08
11:00:00 - 12:10:00
405 , Mathematics Research Center Building (ori. New Math. Bldg.)
In this talk I will first give a brief introduction on the mathematical models in semiconductor simulation including classical and quantum models, microscopic and macroscopic models. Then I will switch to one of the macroscopic quantum models, the so called QDD model. We will show a series of results obtained recently, including the existence, semi-classical limit and long-time behavior of weak solutions to this kind of models. Our methods are based on semi-discretization in time for the approximation scheme and entropy estimates for compactness argument. The results on QDD model are joint works with X.Chen and Q.Ju.