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一个半导体器件模型热平衡解的唯一性
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作者 董建伟 娄光谱 《重庆文理学院学报(社会科学版)》 2015年第5期22-25,共4页
研究一个耦合的四阶椭圆方程组,此方程组来源于半导体器件中一维双极量子流体动力学模型的热平衡状态.在某些条件下利用一些不等式证明了此方程组解的唯一性.
关键词 量子流体动力学模型 热平衡解 唯一性
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半导体器件模型热平衡解的存在性 被引量:1
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作者 董建伟 程少华 《重庆师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第5期106-109,共4页
研究半导体器件中一维双极量子流体动力学模型的热平衡状态(nαe)x-δ2ne(ne)xxnex=neVx,(nβi)-δ2ni(ni)xxnix=-niVx,Vxx=ne-ni-C(x) in(0,1)。利用指数变换法把该模型转化为一个耦合的四阶椭圆方程组,然后利用Le... 研究半导体器件中一维双极量子流体动力学模型的热平衡状态(nαe)x-δ2ne(ne)xxnex=neVx,(nβi)-δ2ni(ni)xxnix=-niVx,Vxx=ne-ni-C(x) in(0,1)。利用指数变换法把该模型转化为一个耦合的四阶椭圆方程组,然后利用Leray Schauder不动点定理证明了转化后的方程组弱解的存在性。 展开更多
关键词 量子流体动力学模型 热平衡解 存在性
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Theoretical simulation and experimental study of hydrolysis separation of SbCl_3 in complexation-precipitation system 被引量:1
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作者 田庆华 辛云涛 +2 位作者 杨丽 王学海 郭学益 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第10期2746-2753,共8页
The theoretical simulation and verified experiments on metal separation in a Sb^3+-OH^--Cl^-complexation-precipitation system involving hydrolysis-precipitation reactions of SbOCl, Sb4O5Cl2and Sb2O3were carried out. ... The theoretical simulation and verified experiments on metal separation in a Sb^3+-OH^--Cl^-complexation-precipitation system involving hydrolysis-precipitation reactions of SbOCl, Sb4O5Cl2and Sb2O3were carried out. The equilibrium concentration of [Sb^3+]Twas obtained by calculation and verified by experiments. The precipitates SbOCl,Sb4O5Cl2and Sb2O3were analyzed through the equilibrium concentration of Sb^3+in the solution and the ΔrGΘmof transformation reactions of these materials. It is found that the concentration of [Sb^3+]Tin verified experiments was larger than the theoretical value, where the theoretical minimum concentration of [Sb^3+]Twas 10^-10.92mol/L at pH value of 4.6 and the minimum concentration obtained from the verified experiment was about 10^-3.8mol/L at pH value of 5.1. Different precipitates can be obtained atcertain pH. The SbOCl cannot be obtained both in theoretic calculations and in verified experiments, while the Sb8O11Cl2-H2O was generated in the experiment. 展开更多
关键词 antimony chloride complexation-precipitation thermodynamics equilibrium verification
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Thermal Equilibrium Reached by Interaction Between Two Identical Systems 被引量:1
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作者 FU Liang FAN Hong-Yi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第6期1461-1462,共2页
In this work we show that tending to thermal equilibrium in one system, at least in certain cases, is associated with the coherent dynamical evolution of this system in interaction with another identical system. The t... In this work we show that tending to thermal equilibrium in one system, at least in certain cases, is associated with the coherent dynamical evolution of this system in interaction with another identical system. The temperature varying effect with time is manifestly shown in our analyses. 展开更多
关键词 thermal equilibrium TEMPERATURE coherent dynamic evolution
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Energetical Comparison of Substrate Disintegration Methods Used for Increasing Biogas Production
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作者 David Hrustak Martin Zavacky Pavel Ditl* Pavel Ditl 《Journal of Chemistry and Chemical Engineering》 2011年第6期514-520,共7页
This paper presents various substrate treatment methods used to increase biogas production. These methods-mechanical disintegration, thermal hydrolysis and ultrasonic disintegration-are compared from the point of view... This paper presents various substrate treatment methods used to increase biogas production. These methods-mechanical disintegration, thermal hydrolysis and ultrasonic disintegration-are compared from the point of view of energy. This comparison requires knowledge of mass and heat balances. The data needed for evaluating of all processes has been obtained from our previous research and also from our own experiments, especially for the case of ultrasonic disintegration. 展开更多
关键词 anaerobic fermentation BIOGAS substrate disintegration energetical comparison.
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