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Local thermal conductivity of inhomogeneous nano-fluidic films:A density functional theory perspective
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作者 孙宗利 康艳霜 康艳梅 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期594-603,共10页
Combining the mean field Pozhar-Gubbins(PG)theory and the weighted density approximation,a novel method for local thermal conductivity of inhomogeneous fluids is proposed.The correlation effect that is beyond the mean... Combining the mean field Pozhar-Gubbins(PG)theory and the weighted density approximation,a novel method for local thermal conductivity of inhomogeneous fluids is proposed.The correlation effect that is beyond the mean field treatment is taken into account by the simulation-based empirical correlations.The application of this method to confined argon in slit pore shows that its prediction agrees well with the simulation results,and that it performs better than the original PG theory as well as the local averaged density model(LADM).In its further application to the nano-fluidic films,the influences of fluid parameters and pore parameters on the thermal conductivity are calculated and investigated.It is found that both the local thermal conductivity and the overall thermal conductivity can be significantly modulated by these parameters.Specifically,in the supercritical states,the thermal conductivity of the confined fluid shows positive correlation to the bulk density as well as the temperature.However,when the bulk density is small,the thermal conductivity exhibits a decrease-increase transition as the temperature is increased.This is also the case in which the temperature is low.In fact,the decrease-increase transition in both the small-bulk-density and low-temperature cases arises from the capillary condensation in the pore.Furthermore,smaller pore width and/or stronger adsorption potential can raise the critical temperature for condensation,and then are beneficial to the enhancement of the thermal conductivity.These modulation behaviors of the local thermal conductivity lead immediately to the significant difference of the overall thermal conductivity in different phase regions. 展开更多
关键词 thermal conductivity nano-fluidic films density functional theory
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Improved Control in Single Phase Inverter Grid-Tied PV System Using Modified PQ Theory
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作者 Nur Fairuz Mohamed Yusof Dahaman Ishak +3 位作者 Muhammad Ammirrul Atiqi Mohd Zainuri Muhammad Najwan Hamidi Zuhair Muhammed Alaas Mohamed Mostafa Ramadan Ahmed 《Intelligent Automation & Soft Computing》 SCIE 2023年第8期2441-2457,共17页
Grid-connected reactive-load compensation and harmonic control are becoming a central topic as photovoltaic(PV)grid-connected systems diversified.This research aims to produce a high-performance inverter with a fast d... Grid-connected reactive-load compensation and harmonic control are becoming a central topic as photovoltaic(PV)grid-connected systems diversified.This research aims to produce a high-performance inverter with a fast dynamic response for accurate reference tracking and a low total har-monic distortion(THD)even under nonlinear load applications by improving its control scheme.The proposed system is expected to operate in both stand-alone mode and grid-connected mode.In stand-alone mode,the proposed controller supplies power to critical loads,alternatively during grid-connected mode provide excess energy to the utility.A modified variable step incremental conductance(VS-InCond)algorithm is designed to extract maximum power from PV.Whereas the proposed inverter controller is achieved by using a modified PQ theory with double-band hysteresis current controller(PQ-DBHCC)to produce a reference current based on a decomposition of a single-phase load current.The nonlinear rectifier loads often create significant distortion in the output voltage of single-phase inverters,due to excessive current harmonics in the grid.Therefore,the proposed method generates a close-loop reference current for the switching scheme,hence,minimizing the inverter voltage distortion caused by the excessive grid current harmonics.The simulation findings suggest the proposed control technique can effectively yield more than 97%of power conversion efficiency while suppressing the grid current THD by less than 2%and maintaining the unity power factor at the grid side.The efficacy of the proposed controller is simulated using MATLAB/Simulink. 展开更多
关键词 Hysteresis current controller incremental conductance nonlinear load PQ theory single-phase inverter
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逾渗理论在多孔介质渗透性能研究中的应用
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作者 兰盈伯 程东会 +1 位作者 项琳 李超 《中国农村水利水电》 北大核心 2024年第8期41-44,53,共5页
逾渗现象广泛存在于自然界的各种物理过程中,逾渗理论已经在众多领域得到广泛的应用和研究.区别于传统的以渗透系数为主要参数渗流理论,用逾渗理论表征多孔介质的渗透性能,这可能是解决复杂渗流问题更合理的方法,如当气相侵入饱和多孔... 逾渗现象广泛存在于自然界的各种物理过程中,逾渗理论已经在众多领域得到广泛的应用和研究.区别于传统的以渗透系数为主要参数渗流理论,用逾渗理论表征多孔介质的渗透性能,这可能是解决复杂渗流问题更合理的方法,如当气相侵入饱和多孔介质时,对非混溶的两相流动系统中气相运动的表征。多孔介质可以视为由孔腔与孔喉组成,它们分别对应逾渗网络模型里的节点与连接节点的键,在此概化的基础上逾渗理论可以应用于多孔介质,进而运用逾渗理论中关键路径分析的方法对饱和渗透系数与非饱和渗透系数进行理论推导。以泊肃叶方程为起点,结合连通性以及逾渗临界体积含量等概念,构建出了饱和渗透系数与孔隙临界半径的关系,并在此基础上将孔隙度以孔隙半径的概率密度函数的形式给出并引入平衡半径的概念,加入推导,最终得出非饱和渗透系数的表达式。并使用Rijtema数据库的两种土样实测数据与预测值对比,分析了非饱和渗透系数表达式的适用性。结果发现,给出的非饱和渗透系数的表达式只有在远离逾渗阈值的范围区间内,即饱和度大于0.9时,预测值才与实测值接近,而在小饱和度时,甚至产生了几个数量级误差。这些误差的产生与前述推导过程中的假设与近似处理以及接近逾渗时拓扑的复杂性有关,其结果是越接近临界饱和度,其预测值越不准确。 展开更多
关键词 逾渗理论 逾渗阈值 饱和渗透系数 非饱和渗透系数 关键路径分析
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三相土壤分形导热系数模型
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作者 李文岚婷 苏顺玉 《科学技术与工程》 北大核心 2024年第7期2724-2733,共10页
土壤热导率的预测准确性对地源热泵和钻孔热能等地热相关结构设计至关重要,基于土壤复杂、随机、自相似性的微观结构特征,使用分形理论,考虑土壤的孔隙率和颗粒排列等参数对土壤弯曲度的影响,建立三相土壤有效导热系数毛细孔物理模型和... 土壤热导率的预测准确性对地源热泵和钻孔热能等地热相关结构设计至关重要,基于土壤复杂、随机、自相似性的微观结构特征,使用分形理论,考虑土壤的孔隙率和颗粒排列等参数对土壤弯曲度的影响,建立三相土壤有效导热系数毛细孔物理模型和对应的有效导热系数数学模型,将模型预测结果与已有实验数据进行了对比。结果表明:增加土壤颗粒排列等参数后的模型对孔隙率在0.21~1的土壤热导率预测有较高的准确性,且不同孔隙率的三相土壤热导率与土壤颗粒排列阻塞参数有关,孔隙率越大、阻塞参数越小模型预测越接近实验结果;弯曲度改变对热电比模型的串并联比例有直接影响,土壤颗粒排列对弯曲度的影响随孔隙率的增大而减小,弯曲度与三相土壤热导率的变化趋势成反比。相关结果有助于地埋管与管外三相土壤换热效率的研究。 展开更多
关键词 三相土壤 弯曲度 导热系数 分形理论
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井工煤矿减损开采理论与技术体系 被引量:3
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作者 李全生 《煤炭学报》 EI CAS CSCD 北大核心 2024年第2期988-1002,共15页
煤炭开采改变了覆岩边界条件,引起围岩应力重新分布和覆岩变形、运动、破断,造成覆岩损伤自下而上传导,引起含水层、地表附属物、矿区生态系统等损伤。现代开采在保障经济社会发展能源需求同时,也对矿区地下水资源、生态环境和建/构筑... 煤炭开采改变了覆岩边界条件,引起围岩应力重新分布和覆岩变形、运动、破断,造成覆岩损伤自下而上传导,引起含水层、地表附属物、矿区生态系统等损伤。现代开采在保障经济社会发展能源需求同时,也对矿区地下水资源、生态环境和建/构筑设施造成较大损伤。为解决规模化煤炭开采与矿区生态协调的问题,在系统分析国内外减损开采理论与技术以及长期实践基础上,根据“源头减损”理念和“采前源头损伤控制、采中优化减损、采后生态要素系统修复”的开采全过程减损思路,提出了以“基于开采工艺参数优化的源头减损、硬岩采前预裂-软岩注浆改性与采后导水裂隙封堵控水、采中覆岩承载结构稳定性维持减损”的采前、采中、采后3类4项技术为主导的开采全过程减损技术措施,创建了井工煤矿减损开采理论与技术体系,明确了减损开采研究的重点和方向。在开采损伤监测方面,由于监测技术时空差异大,难以实现地表变形与裂缝的同时空监测和地表生态环境多要素一体化同步监测,仍需针对性地提出煤矿井工开采损伤多源监测异步数据的同时空校正与处理方法。在损伤传导理论方面,基于覆岩损伤传导理论,从能量出发提出了采动损伤场模型,并结合岩层软硬组合、岩土层介质的差异,提出了涵盖“覆岩-含水层-地表-生态”多因素指标的煤炭井工开采覆岩损伤场量统一与跨界面传导理论。神东矿区上湾矿12401工作面采用采前开采参数优化,采中垮落带注浆等减损技术,地表最大沉降值相对减小25%,地表裂缝由台阶型裂缝调控为动态小裂缝;此外,神东矿区自2010年实施减损开采技术以来,植被覆盖度由原来平均31%上升到74.1%。 展开更多
关键词 煤炭开采 损伤传导 源头减损 减损理论与技术 绿色开采
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双螺杆挤出机塑化系统电磁加热过程的数值模拟与实验研究及应用
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作者 陈浩 杨卫民 +2 位作者 寻尚伦 张海涛 焦志伟 《中国塑料》 CAS CSCD 北大核心 2024年第3期101-108,共8页
探究电磁加热相比于铸铜加热对双螺杆挤出机塑化系统的影响,首先针对现有双螺杆机筒和线圈分布建立几何模型,使用comsol有限元软件研究了电磁加热过程机筒磁通量变化以及温度均匀性;另外,在数值模拟的指导下开展具体试验验证,对比了电... 探究电磁加热相比于铸铜加热对双螺杆挤出机塑化系统的影响,首先针对现有双螺杆机筒和线圈分布建立几何模型,使用comsol有限元软件研究了电磁加热过程机筒磁通量变化以及温度均匀性;另外,在数值模拟的指导下开展具体试验验证,对比了电磁加热和铸铜加热的机筒内壁及法兰温度均匀性、用电量及电磁辐射安全性。结果表明,电磁加热具有更高的控温精度,保证温度均匀性在±1℃以内,与模拟结果相吻合;在相同的加热时间内,电磁加热可以实现机筒和法兰同步加热,预热时间节约40%,生产过程节能50%;另外电磁辐射符合国家安全标准(GB 8702—2014),保证车间工人的人身安全。 展开更多
关键词 电磁加热 双螺杆挤出机机筒 铸铜加热 塑化系统 电磁热与传导热理论 comsol数值模拟
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聚吡咯材料导电性的量化计算及实验研究
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作者 钟飞 许青青 叶亚萍 《化工新型材料》 CAS CSCD 北大核心 2024年第2期170-174,共5页
采用密度泛函理论对吡咯(Py)和聚吡咯分子(PPy)进行全优化,并在b31yp/6-31g(d)水平上计算了Py和PPy分子中氮原子的电荷密度、最高占据分子轨道(HOMO)能量、最低空轨道(LUMO)能量和能带隙(ΔE)。从理论角度探究了Py和PPy分子结构与导电... 采用密度泛函理论对吡咯(Py)和聚吡咯分子(PPy)进行全优化,并在b31yp/6-31g(d)水平上计算了Py和PPy分子中氮原子的电荷密度、最高占据分子轨道(HOMO)能量、最低空轨道(LUMO)能量和能带隙(ΔE)。从理论角度探究了Py和PPy分子结构与导电性的关系。在理论分析预测的基础上,选择合适的氧化剂和掺杂剂及其在实验中适宜的用量,采用化学氧化法制备不同反应温度下的PPy,探讨了反应温度对PPy聚合度及其导电性能的影响。结果表明:PPy的聚合度越大,其导电性就越好;低温有利于制备聚合度较高和电导率较好的PPy。 展开更多
关键词 聚吡咯 密度泛函理论 化学氧化聚合法 导电性
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结构化理论视域下腐败现象的形成机理
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作者 杨森林 任恒 《深圳社会科学》 2024年第3期96-104,共9页
立足我国廉政建设与腐败治理力度不断增强的时代背景,借助结构化理论以尝试超越个人与社会、主体与客体或行动与结构的二元对立模式,建构容纳个体行动、时空互动和社会结构的分析框架,剖析腐败现象形成的主体性、客体性以及结构性因素,... 立足我国廉政建设与腐败治理力度不断增强的时代背景,借助结构化理论以尝试超越个人与社会、主体与客体或行动与结构的二元对立模式,建构容纳个体行动、时空互动和社会结构的分析框架,剖析腐败现象形成的主体性、客体性以及结构性因素,揭示腐败现象的形成机理。研究表明腐败者的个体短视行为是产生腐败的主体性因素,短视行为使其无法正确认识道德距离,进而忽视腐败的实际后果从而导致意外后果,同时腐败情境会促使个体产生腐败动机,这一动机又反过来激发个体的短视行为,腐败动机与短视行为相互影响相互作用。时间和空间作为客体性因素,对腐败者日常行为和互动产生影响,其在腐败行为中构成个体行动与互动的例行化和区域化,对腐败有影响和催化作用,同时影响个体的分层模式。例行化为腐败行为提供参照和传播方式,区域化为腐败者提供表演空间和分区途径。资源的稀缺以及权力对资源的支配能力,加上规则的异化是腐败现象的结构性因素,资源稀缺催生行动者产生短视行为,规则异化为腐败互动提供例行化参考。结构性因素既是腐败行为的诱因,也成为腐败行为的结果。个体性因素、客体性因素与结构性因素三者相互作用、相互影响,使腐败形成循环反复的生产与再生产,进而使得腐败现象难以彻底消亡。 展开更多
关键词 腐败 结构化理论 结构二重性 规则异化 策略行为
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一种高效求解简谐晶格声子传输系数的算法
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作者 魏宇航 贺达海 《曲靖师范学院学报》 2024年第3期1-5,共5页
根据朗之万格林函数理论,求简谐晶格中热流的关键在于求声子传输系数.传统上人们用基于分解三对角矩阵行列式的方法将求传输系数的过程转化为求转移矩阵的乘积从而降低时间复杂度,这种方法被称为转移矩阵法.但转移矩阵法的并行效果不佳... 根据朗之万格林函数理论,求简谐晶格中热流的关键在于求声子传输系数.传统上人们用基于分解三对角矩阵行列式的方法将求传输系数的过程转化为求转移矩阵的乘积从而降低时间复杂度,这种方法被称为转移矩阵法.但转移矩阵法的并行效果不佳且不能用于存在长程相互作用的系统.提出了一种基于解线性方程组的高效算法来求解简谐系统中声子传输系数,提升了计算的并行效率,且使求解存在任意近邻耦合的声子传输系数的时间复杂度降为O(N),为相关领域的研究提供了算法上的帮助. 展开更多
关键词 热传导 朗之万格林函数理论 传输系数 高效算法
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dπ-pπ共轭对分子电子输运性质影响的理论研究
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作者 余梦宵 梁蕾 孙铭骏 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第1期34-42,共9页
[目的]探究Ⅳ主族的C、Si、Ge等原子与不同离域基团形成的dπ-pπ共轭对相应分子体系电子输运性质的影响.[方法]采用密度泛函理论结合非平衡格林函数(DFT-NEGF)方法探究了含Ⅳ主族元素(C、Si、Ge)的三类分子:四乙基烷烃分子(C_(9)H_(20)... [目的]探究Ⅳ主族的C、Si、Ge等原子与不同离域基团形成的dπ-pπ共轭对相应分子体系电子输运性质的影响.[方法]采用密度泛函理论结合非平衡格林函数(DFT-NEGF)方法探究了含Ⅳ主族元素(C、Si、Ge)的三类分子:四乙基烷烃分子(C_(9)H_(20)S_(2)、SiC_(8)H_(20)S_(2)、GeC_(8)H_(20)S_(2)),四乙炔基烷烃分子(C_(9)H_(4)S_(2)、SiC_(8)H_(4)S_(2)、GeC_(8)H_(4)S_(2)),四苯基烷烃分子(C_(25)H_(20)S_(2)、SiC_(24)H_(20)S_(2)、GeC_(24)H_(20)S_(2))的电子输运性质.[结果]在四乙基烷烃分子中,中心原子Ge由于具有更为扩展的d轨道与碳氢(C—H)σ键存在dπ-pπ轨道相互作用,四乙炔基烷烃分子中乙炔基与Si的d轨道也存在dπ-pπ共轭,而在四苯基烷烃分子中苯环基团间存在额外的π-π弱相互作用,其均有利于电子离域,增大单分子电导.[结论]该研究一定程度上建立了dπ-pπ共轭作用与分子电子输运性质之间的联系,可为含Ⅳ主族中心原子分子在单分子电子学器件中的应用提供参考. 展开更多
关键词 密度泛函理论 非平衡格林函数方法 Ⅳ主族元素 单分子电导 轨道成分分析
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基于薄板理论的覆岩导水裂隙带高度研究
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作者 胡威 高志强 《煤炭科技》 2024年第3期126-130,共5页
导水裂隙带发育高度对于煤矿防治水工作具有重要意义。为了掌握孙疃煤矿Ⅱ1022工作面开采后煤层顶板垮落带和裂隙带发育范围、发育规模及其空间展布特征,确定垮落带、裂隙带与顶板含水层之间的关系,利用薄板理论与关键层理论对此进行理... 导水裂隙带发育高度对于煤矿防治水工作具有重要意义。为了掌握孙疃煤矿Ⅱ1022工作面开采后煤层顶板垮落带和裂隙带发育范围、发育规模及其空间展布特征,确定垮落带、裂隙带与顶板含水层之间的关系,利用薄板理论与关键层理论对此进行理论分析,得到了关键层薄板挠度的表达式,预计导水裂隙带的发育高度为55.48 m,同时通过井下仰孔注水漏失现场实测得到导水裂隙带高度为56.8~61.4 m,实测结果与理论预计导水裂隙带高度基本一致,验证了理论分析的合理性,为实际生产提供了理论指导。 展开更多
关键词 导水裂隙带 关键层 薄板理论 矿井防治水 最大挠度
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Generalization of iterative perturbation theory and coherent potential approximation (ITP+CPA) to double exchange model with orbital degeneracy 被引量:2
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作者 刘自信 文生辉 李明 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第6期2277-2280,共4页
A combination of the iterative perturbation theory (ITP) of the dynamical mean field theory (DMFT) and coherentpotential approximation (CPA) is generalized to the double exchange model with orbital degeneracy. T... A combination of the iterative perturbation theory (ITP) of the dynamical mean field theory (DMFT) and coherentpotential approximation (CPA) is generalized to the double exchange model with orbital degeneracy. The Hubbard interaction and the off-diagonal components for the hopping matrix tij^mn(m ≠ n) are considered in our calculation of spectrum and optical conductivity. The numerical results show that the effects of the non-diagonal hopping matrix elements are important. 展开更多
关键词 iterative perturbation theory coherent-potential approximation dynamical mean field theory optical conductivity
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Far-infrared conductivity of CuS nanoparticles measured by terahertz time-domain spectroscopy 被引量:1
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作者 杨玉平 张振伟 +2 位作者 施宇蕾 冯帅 王文忠 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第4期213-217,共5页
This paper reports that terahertz time-domain spectroscopy is used to measure the optical properties of CuS nanoparticles in composite samples. The complex conductivity of pure CuS nanoparticles is extracted by applyi... This paper reports that terahertz time-domain spectroscopy is used to measure the optical properties of CuS nanoparticles in composite samples. The complex conductivity of pure CuS nanoparticles is extracted by applying the Bruggeman effective medium theory. The experimental data are consistent with the Drude-Smith model of conductivity in the range of 0.2 1.5 THz. The results demonstrate that carriers become localized with a backscattering behaviour in small-size nanostructures. In addition, the time constant for the carrier scattering is obtained and is only 64.3 fs due to increased electron interaction with interfaces and grain boundaries. 展开更多
关键词 terahertz time-domain spectroscopy conductIVITY effective medium theory Drude-Smith model
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Unraveling the effect of uniaxial strain on thermoelectric properties of Mg2Si:A density functional theory study 被引量:1
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作者 Kulwinder Kaur Ranjan Kumar 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第6期301-306,共6页
In this work, the effect of uniaxial strain on electronic and thermoelectric properties of magnesium silicide using density functional theory(DFT) and Boltzmann transport equations has been studied. We have found th... In this work, the effect of uniaxial strain on electronic and thermoelectric properties of magnesium silicide using density functional theory(DFT) and Boltzmann transport equations has been studied. We have found that the value of band gap increases with tensile strain and decreases with compressive strain. The variations of electrical conductivity,Seebeck coefficient, electronic thermal conductivity, and power factor with temperatures have been calculated. The Seebeck coefficient and power factor are observed to be modified strongly with strain. The value of power factor is found to be higher in comparison with the unstrained structure at 2% tensile strain. We have also calculated phonon dispersion, phonon density of states, specific heat at constant volume, and lattice thermal conductivity of material under uniaxial strain. The phonon properties and lattice thermal conductivity of Mg2Si under uniaxial strain have been explored first time in this report. 展开更多
关键词 SEMIconductORS thermoelectric and thermo magnetic effects electric and thermal conductivity density functional theory
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A Valence Electron Structure Criterion of Ionic Conductivity of Sr- and Mg-doped LaGaO_3 Ceramics 被引量:1
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作者 Min SHI Ning LIU +3 位作者 Yudong XU Can WANG Yupeng YUAN P.Majewski 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2006年第2期215-219,共5页
The valence electron structures of Sr- and Mg-doped LaGaO3 ceramics with different compositions were calculated by Empirical Electron Theory of Solids and Molecules (EET). A criterion for the ionic conductivity was ... The valence electron structures of Sr- and Mg-doped LaGaO3 ceramics with different compositions were calculated by Empirical Electron Theory of Solids and Molecules (EET). A criterion for the ionic conductivity was proposed, i.e. the 1/(nAnB) increases with increasing the ionic conductivity when x or y〈20% (in molar fraction). 展开更多
关键词 Empirical electron theory of solids and molecules (EET) Valence electron structure LaGaO3 ceramics Ionic conductivity
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Two-dimensional equations for thin-films of ionic conductors 被引量:1
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作者 Shuting LU Chunli ZHANG +1 位作者 Weiqiu CHEN Jiashi YANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第8期1071-1088,共18页
A theoretical model is developed for predicting both conduction and diffusion in thin-film ionic conductors or cables. With the linearized Poisson-Nernst-Planck(PNP)theory, the two-dimensional(2D) equations for thin i... A theoretical model is developed for predicting both conduction and diffusion in thin-film ionic conductors or cables. With the linearized Poisson-Nernst-Planck(PNP)theory, the two-dimensional(2D) equations for thin ionic conductor films are obtained from the three-dimensional(3D) equations by power series expansions in the film thickness coordinate, retaining the lower-order equations. The thin-film equations for ionic conductors are combined with similar equations for one thin dielectric film to derive the 2D equations of thin sandwich films composed of a dielectric layer and two ionic conductor layers. A sandwich film in the literature, as an ionic cable, is analyzed as an example of the equations obtained in this paper. The numerical results show the effect of diffusion in addition to the conduction treated in the literature. The obtained theoretical model including both conduction and diffusion phenomena can be used to investigate the performance of ionic-conductor devices with any frequency. 展开更多
关键词 ionic conduction and diffusion linearized Poisson-Nernst-Planck(PNP) theory two-dimensional(2D) equation ionic conductor thin-film
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A Study of Heavy-Fermion Superconductors via BCS Equations Incorporating Chemical Potential 被引量:2
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作者 G. P. Malik 《Journal of Modern Physics》 2015年第9期1233-1242,共10页
Heavy-fermion superconductors (HFSCs) are regarded as outside the purview of BCS theory because it is usually constrained by the inequality , where EF, μ, kB, and θD are, respectively, the Fermi energy, chemical pot... Heavy-fermion superconductors (HFSCs) are regarded as outside the purview of BCS theory because it is usually constrained by the inequality , where EF, μ, kB, and θD are, respectively, the Fermi energy, chemical potential, Boltzmann constant, and the Debye temperature. We show that this restriction can be removed by incorporating μ into the equations for Tc and the gap Δ0 at T = 0. Further, when μ kBθD, we curtail the limits of the equations for Tc and Δ0 to avoid complex-valued solutions. The resulting equations are applied to a prominent member of the HFSC family, i.e., CeCoIn5, by appealing to ideas due to Born and Karmann, Suhl et al., and Bianconi et al. Since the equations now contain an additional variable μ, we find that 1) the Tc of the SC can be accounted for by a multitude of values of the (μ, λ) pair, λ being the interaction parameter;2) the λ vs. μ plot has a dome-like structure when μ kBθD;3) the (μ, λ) values obtained in 2) lead to reasonable results for the range of each of the following variables: Δ0, s, and n, where s is the ratio of the mass of a conduction electron and the free electron mass and n is the number density of charge carriers in the SC. 展开更多
关键词 Range of Application of the BCS theory Incorporation of Chemical Potential into EQUATIONS for Tc and Δ0 Extended BCS theory HEAVY-FERMION Superconductors Ratio of the MASS of a conduction ELECTRON and the Free ELECTRON MASS Density of Charge Carriers
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Fractal analysis of thermal conduction of loose coal 被引量:2
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作者 WANG Yijiang ZHOU Guoqing +1 位作者 WEI Yazhi ZHOU Yang 《Mining Science and Technology》 EI CAS 2010年第6期831-834,838,共5页
For deep mining engineering, heat transfer of coal mass is a vital factor in the thermal environment of coal mines. In order to study the thermal conduction mechanism, we obtained gray images of coal mass microstructu... For deep mining engineering, heat transfer of coal mass is a vital factor in the thermal environment of coal mines. In order to study the thermal conduction mechanism, we obtained gray images of coal mass microstructure by scanning samples with a digital microscope. With the use of Matlab, these gray images were transformed into binary images, which were then transformed into a corresponding matrix consisting only of the values 0 and 1. According to the calculation method of box-counting dimension, we calculated the fractal dimension of the loose coal to be approximately 1.86. The thermal conductivity expressions of loose coal were derived based on the simulation method of thermal resistance. We calculated the thermal conductivity of loose coal by using a fractal model and compared the calculated values with our experimental data. The results show that the test data show an encourag-ing agreement with the calculated values. Hence fractal theory is a feasible method for studying thermal conductivity of loose coal. 展开更多
关键词 松散煤体 分形分析 热传导 理论计算值 MATLAB 灰度图像 维数计算 扫描显微镜
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Thermal conductivity of dielectric nanowires with different cross-section shapes 被引量:1
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作者 顾骁坤 曹炳阳 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第12期3777-3782,共6页
关键词 热学 声子 计算方法 模拟技术
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INTERVAL ANALYSIS OF FUZZY-RANDOM HEAT CONDUCTION IN COMPOSITE TUBES
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作者 刘长虹 陈虬 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第10期1312-1318,共7页
During the analysis of stability heat conduction in the composite tubes, firstly, when the temperature boundary conditions are the random conditions, equations of the mean values and variances of the random thermal fu... During the analysis of stability heat conduction in the composite tubes, firstly, when the temperature boundary conditions are the random conditions, equations of the mean values and variances of the random thermal function are transformed. Secondly, when the heat conduct parameters are the fuzzy numbers and the temperature boundary conditions are the random numbers, interval equations of the heat conduction are presented. Thirdly, by comparison of the interval results, the result in the interval analysis is larger than that in the confidence interval. Moreover the error expecting equation is presented. Finally, with upper (lower) approximation in rough set theory, a new method of the interval analysis to deal with the stability heat conduction is presented. 展开更多
关键词 heat conduct FUZZY RANDOM interval number rough set theory
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