The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation ...The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation for the electron density,including a temperature derivative,an elliptic nonlinear heat equation for the electron temperature,and the Poisson equation for the electric potential.The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.展开更多
The well-posedness of smooth solution to a 3-D simplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymp- totic behavior of solution to the equations with hybrid...The well-posedness of smooth solution to a 3-D simplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymp- totic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.展开更多
The transient and stationary characteristics of a one-dimensional quantum hydrodynamic model are comparatively studied for semiconductor charge transport in a resonant tunnelling diode. When the bias is not small, our...The transient and stationary characteristics of a one-dimensional quantum hydrodynamic model are comparatively studied for semiconductor charge transport in a resonant tunnelling diode. When the bias is not small, our numerical results show a deviation of the asymptotic transient solutions from the stationary ones. A dynamic instability accounts for such deviation. The stationary quantum hydrodynamic model is therefore unsuitable in general for simulating quantum devices.展开更多
The plasmon waveguide based on double chain of gold cylinders is studied using the finite-difference time-domain method （FDTD）. The wavelength of the incident Gaussian beam ranges from 650 to 1200nm, and the corresp...The plasmon waveguide based on double chain of gold cylinders is studied using the finite-difference time-domain method （FDTD）. The wavelength of the incident Gaussian beam ranges from 650 to 1200nm, and the corresponding attenuation factors are calculated. We also present a Y-splitter with 90° splitting angle, each branch in the form of double chains. The transmission efficiencies for different wavelengths are evaluated.展开更多
基金the Vital Science Research Foundation of Henan Province Education Department(No.12A110024)
文摘The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation for the electron density,including a temperature derivative,an elliptic nonlinear heat equation for the electron temperature,and the Poisson equation for the electric potential.The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.
基金Acknowledgement The authors were partially supported by the National Natural Science Foundation of China （No.11071009, No.11371042, No.11471027）, and the Beijing Natural Science Foundation （No.1142001）.
文摘The well-posedness of smooth solution to a 3-D simplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymp- totic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.
基金Supported by the National Natural Science Foundation of China under Grant No 90407021, and the NCET Programme of Ministry of Education of China.
文摘The transient and stationary characteristics of a one-dimensional quantum hydrodynamic model are comparatively studied for semiconductor charge transport in a resonant tunnelling diode. When the bias is not small, our numerical results show a deviation of the asymptotic transient solutions from the stationary ones. A dynamic instability accounts for such deviation. The stationary quantum hydrodynamic model is therefore unsuitable in general for simulating quantum devices.
基金Supported by the National Basic Research Programme of China under Grant No 2006CB921900, the National Natural Science Foundation of China under Grant No 10604052, the Programme for New Century Excellent Talents in University, the Knowledge Innovation Project of Chinese Academy of Sciences under Gait No KGCX2-YW-103, the Programme of the Education Department of Anhui Province under Grant No 2006kj074A, the China Postdoctoral Science Foundation of China under Grant No 20060400205, the K. C. Wong Education Foundation of Hong Kong.
文摘The plasmon waveguide based on double chain of gold cylinders is studied using the finite-difference time-domain method （FDTD）. The wavelength of the incident Gaussian beam ranges from 650 to 1200nm, and the corresponding attenuation factors are calculated. We also present a Y-splitter with 90° splitting angle, each branch in the form of double chains. The transmission efficiencies for different wavelengths are evaluated.
