U.S.-German Cooperative Research: Quantum Fluid Dynamical Approaches to Solid State Transport Modeling

PI和柏林工业大学的Peter Markwich合作的目标是提高数学建模的水平，以适应半导体器件小型化的快速发展。由数学模型推导出的计算机模拟用于优化工艺和器件参数，从而减少故障芯片的数量，提高装配线上的吞吐量。一些现有的模型无法描述尖端技术的所有特征，而另一些模型在计算上过于复杂而不实用。这一建议寻求使用使用渐近分析技术的模型的联系。这项研究将产生新的混合模型，代表物理相关性和计算可行性之间的折衷。

The goal of this collaboration between the PI and Peter Markwich of the Technische Universitªt in Berlin is to advance the state of mathematical modeling to accommodate the rapid advances in miniaturization of semiconductor devices. The computer simulations derivable from the mathematical models are used to optimize process and device parameters, thereby reducing the number of faulty chips, and increasing throughput on the assembly line. Some existing models are unable to describe all of the features of cutting- edge technologies, while others are too complex computationally to be practical. This proposal seeks to use a linkage of models using techniques of asymptotic analysis. The research will yield new, hybrid models which represent a compromise between physical relevance and computational feasibility.