意大利拉奎拉大学Prof. Bruno Rubino学术报告预告

报告题目：Hybrid quantum-classical models for nano-sized semiconductor devices

报告摘要：In the modern semiconductor technology, the quantum effects play an important role in the functioning of the devices. To include such complex phenomena, quantum models must be employed, with a remarkable increasing of the computational costs.

Recently, following the experimental observation that quantum effects are localized in restricted zone of the device, some quantum-classical hybrid models have been introduced. In the hybrid framework, just a well localized (and usually small) part of the device is modeled as quantum, while the rest of the domain is treated classically.

The main diffcult is to establish a reasonable set of interface conditions. In the talk we present and compare two different approaches. In the first one, following the available literature, we introduce and discuss some sets physical-based interface conditions. In the second one, we derive a new intrinsic hybrid model, obtained modifying the Bohm potential [2], [3]. In this way, we do not need any interface condition and the existence of the hybrid solution is obtained as a limit of a suitably modifed quantum model [1], [4], [5].

参考文献

[1] S. Chiarelli, F. Di Michele, and B. Rubino, A hybrid drift di_usion model:derivation, weak steady state solutions and simulations, Math. Appl., 1(2012), 37-55.

[2] F. Di Michele, P. Marcati, and B. Rubino, Steady states and interface trans-mission conditions for heterogeneous quantum classical 1-d hydrodynamic model of semiconductor devices, Physica D, 243 (2013), 1-13.

[3] F. Di Michele, P. Marcati, and B. Rubino, Stationary solution for transient quantum hydrodynamics with bohmenian-type boundary conditions,to appear on Computational and Applied Mathematics, 2017 (First online:15 May 2015).

[4] F. Di Michele, M. Mei, B. Rubino, and S. Sampalmieri, Solutions to hybrid quantum hydrodynamical model of semiconductors in bounded domain, to appear on International Journal of Numerical Analysis & Modeling, 13,No. 6 (2016).

[5] F. Di Michele, M. Mei, B. Rubino, and S. Sampalmieri, Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics, in preparation.

报告时间：2016年6月13日（周一）上午11：00-12：00

报告地点：教学二楼2126

欢迎教师和同学参加！