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量子校正的能量運輸模型之條件作用第二部分:模擬 = Condition...

吳長軒

量子校正的能量運輸模型之條件作用第二部分:模擬 = Conditioning of the Quantum-Corrected Energy Transport Model Part II: Simulation

Record Type:	Language materials, printed : monographic
Paralel Title:	Conditioning of the Quantum-Corrected Energy Transport Model Part II: Simulation
Author:	吳長軒,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	民99[2010]
Description:	48面圖，表 : 30公分;
Subject:	量子校正的能量運輸模型
Subject:	quantum-corrected energy transport model
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/29999803120993299807
Summary:	量子校正的能量運輸模型是由波松、密度梯度、電子電洞連續方程和能量傳遞等方程式所構成的，我們延續[23]的論文並且將L²-norm修改成L^{∞}-norm。我們證明出漂流擴散和能量傳遞方程式在透過等比例的行或列縮放會出現好的條件作用，而波松和密度梯度方程式則會在等比例縮放前就已經是擁有好的條件作用。數值模擬說明我們實際等比例縮放與理論估計是一致的。 The quantum-corrected energy transport model consists of Poisson, density gradient, electron-hole current continuity and energy transport equations. We extend [23] and modify the stability bound in L^{∞}-norm instead of L²-norm. We prove that the Poisson and density gradient equations are well-conditioned without scaling whereas the drift-diffusion and energy transport equations are well-conditioned after scaling. Numerical simulations show that our implementation method for scaling agrees well with the theoretical estimate.

量子校正的能量運輸模型之條件作用第二部分:模擬 = Conditioning of the Quantum-Corrected Energy Transport Model Part II: Simulation
吳, 長軒

量子校正的能量運輸模型之條件作用第二部分:模擬 = Conditioning of the Quantum-Corrected Energy Transport Model Part II: Simulation / 吳長軒撰 - [高雄市] : 撰者, 民99[2010]. - 48面 ; 圖，表 ; 30公分.
參考書目：面.
量子校正的能量運輸模型quantum-corrected energy transport model

量子校正的能量運輸模型之條件作用第二部分:模擬 = Conditioning of the Quantum-Corrected Energy Transport Model Part II: Simulation
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330 $a 量子校正的能量運輸模型是由波松、密度梯度、電子電洞連續方程和能量傳遞等方程式所構成的，我們延續[23]的論文並且將L²-norm修改成L^{∞}-norm。我們證明出漂流擴散和能量傳遞方程式在透過等比例的行或列縮放會出現好的條件作用，而波松和密度梯度方程式則會在等比例縮放前就已經是擁有好的條件作用。數值模擬說明我們實際等比例縮放與理論估計是一致的。 The quantum-corrected energy transport model consists of Poisson, density gradient, electron-hole current continuity and energy transport equations. We extend [23] and modify the stability bound in L^{∞}-norm instead of L²-norm. We prove that the Poisson and density gradient equations are well-conditioned without scaling whereas the drift-diffusion and energy transport equations are well-conditioned after scaling. Numerical simulations show that our implementation method for scaling agrees well with the theoretical estimate.
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