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Local classification of stable geometric solutions of systems of quasilinear first-order PDE 被引量:1
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作者 李兵 李养成 《Science China Mathematics》 SCIE 2002年第9期1163-1170,共8页
Systems of quasilinear first order PDE are studied in the framework of contact manifold. All of the local stable geometric solutions of such systems are classified by using versal deformation and the classification of... Systems of quasilinear first order PDE are studied in the framework of contact manifold. All of the local stable geometric solutions of such systems are classified by using versal deformation and the classification of stable map germs of type ∑1 in singularity theory. 展开更多
关键词 versal deformation system of quasilinear first order pde stable local geometric solution CLASSIFICATION
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PDE4抑制剂在特发性肺纤维化中的多靶点调控作用和临床展望
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作者 蔡晨婷 吴挺挺 +1 位作者 丁群力 吕丹 《现代实用医学》 2026年第2期213-216,共4页
特发性肺纤维化(idiopathic pulmonary fibrosis,IPF)是一种病因未明的慢性进行性肺间质性疾病,以肺组织瘢痕形成导致肺功能不可逆性下降为特征,最终引发呼吸衰竭致患者死亡。其年发病率为(20~80)/10万,且呈逐年上升趋势,患者确诊后中... 特发性肺纤维化(idiopathic pulmonary fibrosis,IPF)是一种病因未明的慢性进行性肺间质性疾病,以肺组织瘢痕形成导致肺功能不可逆性下降为特征,最终引发呼吸衰竭致患者死亡。其年发病率为(20~80)/10万,且呈逐年上升趋势,患者确诊后中位生存时间通常为3~5年,预后较差[1]。IPF的发病机制尚未完全阐明,纤维化过程最初归因于慢性炎症,后续研究认为是由遗传、环境因素及肺泡上皮细胞慢性损伤共同导致肺部修复异常所致[2]。多细胞、多信号通路协同驱动疾病进展,核心为遗传易感个体的肺泡上皮反复微损伤引发修复失败和异常纤维化反应[3]。 展开更多
关键词 特发性肺纤维化 pde4抑制剂
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双向赋能:AI-PDE交叉课程教学新范式探索
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作者 吴奕飞 张晓岩 +1 位作者 石兴云 李为凡 《数学之友》 2026年第3期71-73,76,共4页
当下,传统偏微分方程教学与人工智能技术的快速发展存在脱节问题.本文以研究生教育为突破口,对“人工智能与偏微分方程”双向赋能的交叉教学范式开展探索.通过重构“理论奠基—实践深化—产业反哺”闭环课程体系,设计动态演化的智能教... 当下,传统偏微分方程教学与人工智能技术的快速发展存在脱节问题.本文以研究生教育为突破口,对“人工智能与偏微分方程”双向赋能的交叉教学范式开展探索.通过重构“理论奠基—实践深化—产业反哺”闭环课程体系,设计动态演化的智能教学生态,并联合头部企业搭建产学研协同平台,从而创新性地建立了双向互馈教学范式、智能迭代课程机制及跨学科资源协同模式.该举措推动了偏微分方程与人工智能技术在智能制造等工程领域的应用转化,形成了一套可推广的交叉学科教育方法论,为新工科人才培养提供了实践参考. 展开更多
关键词 AI pde 交叉课程教学 新工科
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A “Tonebusting” Technique to Build a DAC from a First-Order Digital ΣΔ Modulator
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作者 Yves Leduc Gilles Jacquemod +1 位作者 Yoann Charlon Fabrice Muller 《Journal of Electronic Research and Application》 2025年第4期8-13,共6页
In this paper,we present a novel first-order digitalΣΔconverter tailored for digital-to-analog applications,focusing on achieving both high yield and reduced silicon estate.Our approach incorporates a substantial le... In this paper,we present a novel first-order digitalΣΔconverter tailored for digital-to-analog applications,focusing on achieving both high yield and reduced silicon estate.Our approach incorporates a substantial level of dithering noise into the input signal,strategically aimed at mitigating the spurious frequencies commonly encountered in such converters.Validation of our design is performed through simulations using a high-level simulator specialized in mixed-signal circuit analysis.The results underscore the enhanced performance of our circuit,especially in reducing spurious frequencies,highlighting its efficiency and effectiveness.The final circuit exhibits an effective number of bits of 13. 展开更多
关键词 first-order digital SD modulator Digital to analog converter Spurious frequencies Dithering
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Improved Inverse First-Order Reliability Method for Analyzing Long-Term Response Extremes of Floating Structures
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作者 Junrong Wang Zhuolantai Bai +3 位作者 Botao Xie Jie Gui Haonan Gong Yantong Zhou 《哈尔滨工程大学学报(英文版)》 2025年第3期552-566,共15页
Long-term responses of floating structures pose a great concern in their design phase. Existing approaches for addressing long-term extreme responses are extremely cumbersome for adoption. This work aims to develop an... Long-term responses of floating structures pose a great concern in their design phase. Existing approaches for addressing long-term extreme responses are extremely cumbersome for adoption. This work aims to develop an approach for the long-term extreme-response analysis of floating structures. A modified gradient-based retrieval algorithm in conjunction with the inverse first-order reliability method(IFORM) is proposed to enable the use of convolution models in long-term extreme analysis of structures with an analytical formula of response amplitude operator(RAO). The proposed algorithm ensures convergence stability and iteration accuracy and exhibits a higher computational efficiency than the traditional backtracking method. However, when the RAO of general offshore structures cannot be analytically expressed, the convolutional integration method fails to function properly. A numerical discretization approach is further proposed for offshore structures in the case when the analytical expression of the RAO is not feasible. Through iterative discretization of environmental contours(ECs) and RAOs, a detailed procedure is proposed to calculate the long-term response extremes of offshore structures. The validity and accuracy of the proposed approach are tested using a floating offshore wind turbine as a numerical example. The long-term extreme heave responses of various return periods are calculated via the IFORM in conjunction with a numerical discretization approach. The environmental data corresponding to N-year structural responses are located inside the ECs, which indicates that the selection of design points directly along the ECs yields conservative design results. 展开更多
关键词 Long-term response analysis Floating structures Inverse first-order reliability method Convolution model Gradient-based retrieval algorithm Environmental contour method
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一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定
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作者 李霞 张传佳 孔臣臣 《曲阜师范大学学报(自然科学版)》 2026年第1期19-33,共15页
研究了一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定问题.与相关文献不同的是,所研究系统的PDE和ODE子系统均是分数阶的,其中PDE子系统是n维的(不再是一维的),且仅ODE子系统部分状态和PDE子系统一个边界信息可量测.这增加了控制方法... 研究了一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定问题.与相关文献不同的是,所研究系统的PDE和ODE子系统均是分数阶的,其中PDE子系统是n维的(不再是一维的),且仅ODE子系统部分状态和PDE子系统一个边界信息可量测.这增加了控制方法的适用范围,同时也增大了控制设计和稳定性分析的难度.为此,首先通过无穷维反推方法构造状态观测器以估计系统的不可测状态.然后,利用无穷维反推方法设计输出反馈控制器以确保闭环系统在一定范数意义下是Mittag-Leffer稳定的.最后,通过数值仿真验证了所提理论方法的有效性. 展开更多
关键词 分数阶pde-ODE级联系统 镇定 输出反馈 无穷维反推方法
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PDE在药品共线风险评估中的应用探索
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作者 马丽 《流程工业》 2026年第2期10-13,共4页
药品多产品共线生产的质量与安全管控是制药行业面临的重要课题。每日允许暴露量(PDE)评估作为核心技术支撑,对共线生产风险识别与控制具有关键意义。本文基于风险管理理念,系统构建了药品共线生产风险评估体系:首先明确了PDE的获取方... 药品多产品共线生产的质量与安全管控是制药行业面临的重要课题。每日允许暴露量(PDE)评估作为核心技术支撑,对共线生产风险识别与控制具有关键意义。本文基于风险管理理念,系统构建了药品共线生产风险评估体系:首先明确了PDE的获取方式及多文献数据差异的优先级判断原则,在此基础上从法规符合性、产品预定用途、产品特性、共线产品厂房设施设备四个核心维度开展全面评估。其中,法规符合性评估依据GMP及相关指南明确了禁限共线品类及不同PDE值产品的生产要求;产品预定用途评估聚焦于药物相互作用及氧化还原反应风险;产品特性评估重点分析物料特性、活性/毒性及残留限度计算;厂房设施设备分析则从多风险点识别出发确定共线可行性。结合小容量注射剂生产实践,进一步制定了涵盖生产线管控、清洁验证/确认、品种动态管理、多区域污染控制及OEB/PDE层面的全链条控制策略。研究表明,该评估体系与控制策略可有效降低共线生产的污染、交叉污染及混淆风险,保障药品质量安全。但受产品特性复杂性影响,风险评估在量化预测方面仍存在局限性,未来需通过积累更多生产数据、深入研究产品特性影响机制以提升评估精准性。 展开更多
关键词 药品 共线生产 pde 共线风险评估 策略
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AI for PDEs在固体力学领域的研究进展 被引量:3
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作者 王一铮 庄晓莹 +1 位作者 Timon Rabczcuk 刘应华 《力学进展》 北大核心 2025年第2期231-287,共57页
近几年来,深度学习无所不在,赋能于各个领域.尤其是人工智能与传统科学的结合(AI for science,AI4Science)引发广泛关注.在AI4Science领域,利用人工智能算法求解PDEs(AI4PDEs)已成为计算力学研究的焦点.AI4PDEs的核心是将数据与方程相融... 近几年来,深度学习无所不在,赋能于各个领域.尤其是人工智能与传统科学的结合(AI for science,AI4Science)引发广泛关注.在AI4Science领域,利用人工智能算法求解PDEs(AI4PDEs)已成为计算力学研究的焦点.AI4PDEs的核心是将数据与方程相融合,并且几乎可以求解任何偏微分方程问题,由于其融合数据的优势,相较于传统算法,其计算效率通常提升数万倍.因此,本文全面综述了AI4PDEs的研究,总结了现有AI4PDEs算法、理论,并讨论了其在固体力学中的应用,包括正问题和反问题,展望了未来研究方向,尤其是必然会出现的计算力学大模型.现有AI4PDEs算法包括基于物理信息神经网络(physicsinformed neural network,PINNs)、深度能量法(deep energy methods,DEM)、算子学习(operator learning),以及基于物理神经网络算子(physics-informed neural operator,PINO).AI4PDEs在科学计算中有许多应用,本文聚焦于固体力学,正问题包括线弹性、弹塑性,超弹性、以及断裂力学;反问题包括材料参数,本构,缺陷的识别,以及拓朴优化.AI4PDEs代表了一种全新的科学模拟方法,通过利用大量数据在特定问题上提供近似解,然后根据具体的物理方程进行微调,避免了像传统算法那样从头开始计算,因此AI4PDEs是未来计算力学大模型的雏形,能够大大加速传统数值算法.我们相信,利用人工智能助力科学计算不仅仅是计算领域的未来重要方向,同时也是计算力学的未来,即是智能计算力学。 展开更多
关键词 PINNs(基于物理信息神经网络) 算子学习 计算力学 AI for pdeS 固体力学
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Active disturbance rejection control on first-order plant 被引量:23
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作者 Ruiguang Yang Mingwei Sun Zengqiang Chen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期95-102,共8页
Conventional PI control encounters some problems when dealing with large lag process in the presence of parameter uncertainties.For the typical first-order process,an observerbased linear active disturbance rejection ... Conventional PI control encounters some problems when dealing with large lag process in the presence of parameter uncertainties.For the typical first-order process,an observerbased linear active disturbance rejection control(LADRC)scheme is presented to cope with the difficulties,and a reduced-order observer scheme is proposed further.Some quantitative dynamic results with regard to non-overshoot characteristics are obtained.Finally,the performance boundaries of LADRC and PI control are explicitly compared with each other,which shows that the former is more superior in most cases. 展开更多
关键词 active disturbance rejection control(ADRC) first-order process dynamic performance non-overshoot.
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Consensus problems of first-order dynamic multi-agent systems with multiple time delays 被引量:7
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作者 纪良浩 廖晓峰 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期50-55,共6页
Consensus problems of first-order multi-agent systems with multiple time delays are investigated in this paper. We discuss three cases: 1) continuous, 2) discrete, and 3) a continuous system with a proportional pl... Consensus problems of first-order multi-agent systems with multiple time delays are investigated in this paper. We discuss three cases: 1) continuous, 2) discrete, and 3) a continuous system with a proportional plus derivative controller. In each case, the system contains simultaneous communication and input time delays. Supposing a dynamic multi-agent system with directed topology that contains a globally reachable node, the sufficient convergence condition of the system is discussed with respect to each of the three cases based on the generalized Nyquist criterion and the frequency-domain analysis approach, yielding conclusions that are either less conservative than or agree with previously published results. We know that the convergence condition of the system depends mainly on each agent’s input time delay and the adjacent weights but is independent of the communication delay between agents, whether the system is continuous or discrete. Finally, simulation examples are given to verify the theoretical analysis. 展开更多
关键词 MULTI-AGENT time delays CONSENSUS first-order CONVERGENCE
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Development of a first-order kinetics-based model for the adsorption of nickel onto peat 被引量:3
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作者 LIU Zhi-rong CHEN Xiao-song ZHOU Li-min WEI Peng 《Mining Science and Technology》 EI CAS 2009年第2期230-234,共5页
The use of peat for the removal of nickel from aqueous solutions has been investigated at various pH values by means of static conditions. The present research shows that the ability of Ni to bind to peat increases as... The use of peat for the removal of nickel from aqueous solutions has been investigated at various pH values by means of static conditions. The present research shows that the ability of Ni to bind to peat increases as the pH value increases. The solutions reach adsorption equilibrium rapidly. A reasonable kinetic model, first-order in nickel concentration, has been developed and fitted to the adsorption of nickel (Ⅱ) onto peat. The first-order model provides a good correlation to the experimental data. The characteristic parameters of the Langmuir isotherm were determined at various temperatures. The relationship between kinetics and equilibrium isotherms was established through the forward- and backward-rate-constants, k~ and k2, and the equilibrium constant, K. 展开更多
关键词 PEAT NICKEL ADSORPTION first-order rate model PH ISOTHERM
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Efficient slope reliability and sensitivity analysis using quantile-based first-order second-moment method 被引量:2
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作者 Zhiyong Yang Chengchuan Yin +2 位作者 Xueyou Li Shuihua Jiang Dianqing Li 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第10期4192-4203,共12页
This paper introduces a novel approach for parameter sensitivity evaluation and efficient slope reliability analysis based on quantile-based first-order second-moment method(QFOSM).The core principles of the QFOSM are... This paper introduces a novel approach for parameter sensitivity evaluation and efficient slope reliability analysis based on quantile-based first-order second-moment method(QFOSM).The core principles of the QFOSM are elucidated geometrically from the perspective of expanding ellipsoids.Based on this geometric interpretation,the QFOSM is further extended to estimate sensitivity indices and assess the significance of various uncertain parameters involved in the slope system.The proposed method has the advantage of computational simplicity,akin to the conventional first-order second-moment method(FOSM),while providing estimation accuracy close to that of the first-order reliability method(FORM).Its performance is demonstrated with a numerical example and three slope examples.The results show that the proposed method can efficiently estimate the slope reliability and simultaneously evaluate the sensitivity of the uncertain parameters.The proposed method does not involve complex optimization or iteration required by the FORM.It can provide a valuable complement to the existing approximate reliability analysis methods,offering rapid sensitivity evaluation and slope reliability analysis. 展开更多
关键词 Slope reliability Sensitivity analysis QUANTILE first-order second-moment method(FOSM) first-order reliability method(FORM)
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Magnetically induced electric potential in first-order composite beams incorporating couple stress and its flexoelectric effects 被引量:3
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作者 Gongye Zhang Yilin Qu +1 位作者 Ziwen Guo Feng Jin 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2021年第10期1509-1519,I0002,共12页
A new model of a first-order composite beam with flexoelectric and piezomagnetic layers is developed.The new model is under a transverse magnetic field and can capture the couple stress and its flexoelectric effects.T... A new model of a first-order composite beam with flexoelectric and piezomagnetic layers is developed.The new model is under a transverse magnetic field and can capture the couple stress and its flexoelectric effects.The governing equations are obtained through a variational approach.To illustrate the new model,the static bending problem is analytically solved based on a Navier’s technique.The numerical results reveal that the extension,deflection,and shear deformation of the current or couple stress relevant flexoelectric model are always smaller than those of classical models at very small scale.It is also found that the electric potentials only appear with the presence of the flexoelectric effect for this non-piezoelectric composite beam model.Furthermore,various electric potential distributions can be manipulated by the particular magnetic fields,and remote/non-contact control at micro-and nano-scales can be realized by current functional composite beams. 展开更多
关键词 Flexoelectric effect Couple stress theory Microstructure effect first-order beam Piezomagnetic layer Static bending
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First-order Derivative Spectrophotometry for the Determination of Vitamin C in Medicament 被引量:3
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作者 MENG Qing-fan TENG Le-sheng JIANG Chao-jun An Jin-shuang LI Lei LU Jia-hui TENG Li-rong 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2008年第1期29-31,共3页
A novel method for the determination of vitamin C(Vc) is proposed in this article. After the reaction with Folin-Ciocalteau reagent at ambient temperature, Vc solution was scanned at 750--1100 nm, and its first-orde... A novel method for the determination of vitamin C(Vc) is proposed in this article. After the reaction with Folin-Ciocalteau reagent at ambient temperature, Vc solution was scanned at 750--1100 nm, and its first-order derivative spectrum were obtained from the original spectrum. The values of derivative selected at 995 nm were used for determination. It was proved that Vc could quickly react with Folin-Ciocalteau reagent within 5 min and the product was quite stable for a long time. The conditions required for this method is not very complicated, its precision and accuracy are similar to those of the iodometric titration described in Chinese Pharmacopoeia, and the limit of detection is 0.312 μg/mL. The determination of the results of vitamin C tablet, pill, and injection demonstrates that this method has wide pharmaceutical applications. 展开更多
关键词 first-order derivative spectroscopy Vitamin C determination Folin-Ciocalteau regent
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First-order primal-dual algorithm for sparse-view neutron computed tomography-based three-dimensional image reconstruction 被引量:2
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作者 Yang Liu Teng-Fei Zhu +1 位作者 Zhi Luo Xiao-Ping Ouyang 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2023年第8期35-53,共19页
Neutron computed tomography(NCT)is widely used as a noninvasive measurement technique in nuclear engineering,thermal hydraulics,and cultural heritage.The neutron source intensity of NCT is usually low and the scan tim... Neutron computed tomography(NCT)is widely used as a noninvasive measurement technique in nuclear engineering,thermal hydraulics,and cultural heritage.The neutron source intensity of NCT is usually low and the scan time is long,resulting in a projection image containing severe noise.To reduce the scanning time and increase the image reconstruction quality,an effective reconstruction algorithm must be selected.In CT image reconstruction,the reconstruction algorithms can be divided into three categories:analytical algorithms,iterative algorithms,and deep learning.Because the analytical algorithm requires complete projection data,it is not suitable for reconstruction in harsh environments,such as strong radia-tion,high temperature,and high pressure.Deep learning requires large amounts of data and complex models,which cannot be easily deployed,as well as has a high computational complexity and poor interpretability.Therefore,this paper proposes the OS-SART-PDTV iterative algorithm,which uses the ordered subset simultaneous algebraic reconstruction technique(OS-SART)algorithm to reconstruct the image and the first-order primal–dual algorithm to solve the total variation(PDTV),for sparse-view NCT three-dimensional reconstruction.The novel algorithm was compared with other algorithms(FBP,OS-SART-TV,OS-SART-AwTV,and OS-SART-FGPTV)by simulating the experimental data and actual neutron projection experiments.The reconstruction results demonstrate that the proposed algorithm outperforms the FBP,OS-SART-TV,OS-SART-AwTV,and OS-SART-FGPTV algorithms in terms of preserving edge structure,denoising,and suppressing artifacts. 展开更多
关键词 NCT first-order primal-dual algorithm OS-SART Total variation Sparse-view
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Characteristic-knowledge-aided spectral detection of high frequency first-order sea echo 被引量:4
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作者 Li Yang Zhang Ning Yang Qiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第4期718-725,共8页
To detect high frequency (HF) first-order sea echo spectra contaminated with ships, ionosphere interference, and other, a new characteristic-knowledge-aided detection method is proposed. With 2-D image features in r... To detect high frequency (HF) first-order sea echo spectra contaminated with ships, ionosphere interference, and other, a new characteristic-knowledge-aided detection method is proposed. With 2-D image features in range-Doppler spectrum, the trend of first-order sea echoes is extracted as indicative information by a multi-scale filter. Detection rules for both single and splitting first-order sea echoes are given based on the characteristic knowledge combining the indicative information with the global characteristics such as amplitude, symmetry, continuity, etc. Compared with the classical algorithms, the proposed method can detect and locate the first-order sea echo in the HF band more accurately especially in the environment with targets/clutters smearing. Experiments with real data verify the validity of the algorithm. 展开更多
关键词 spectral detection first-order sea echo characteristic knowledge aided HF surface wave radar Bragg peak splitting.
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First-Order Quantum Phase Transition for Dicke Model Induced by Atom-Atom Interaction 被引量:2
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作者 赵秀琴 刘妮 梁九卿 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第5期511-519,共9页
In this article, we use the spin coherent state transformation and the ground state variational method to theoretically calculate the ground function. In order to consider the influence of the atom-atom interaction on... In this article, we use the spin coherent state transformation and the ground state variational method to theoretically calculate the ground function. In order to consider the influence of the atom-atom interaction on the extended Dicke model's ground state properties, the mean photon number, the scaled atomic population and the average ground energy are displayed. Using the self-consistent field theory to solve the atom-atom interaction, we discover the system undergoes a first-order quantum phase transition from the normal phase to the superradiant phase, but a famous Dicke-type second-order quantum phase transition without the atom-atom interaction. Meanwhile, the atom-atom interaction makes the phase transition point shift to the lower atom-photon collective coupling strength. 展开更多
关键词 first-order quantum phase transition atom-atom interaction spin-coherent-state variational method
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First-Order Symmetry Energy Induced by Neutron-Proton Mass Difference 被引量:1
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作者 董建敏 左维 顾建中 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第10期32-35,共4页
The 1st-order symmetry energy coefficient of nuclear matter induced merely by the neutron-proton (n p) mass difference is derived analytically, which turns out to be completely model-independent. Based on this resul... The 1st-order symmetry energy coefficient of nuclear matter induced merely by the neutron-proton (n p) mass difference is derived analytically, which turns out to be completely model-independent. Based on this result, (npDM) the 1st-order symmetry energy Esym,1 (A) of heavy nuclei such as 2~spb induced by the np mass difference is investigated with the help of a local density approximation combined with the Skyrme energy density functionals. Although /U(npDM) Esym,1 (A) is small compared with the second-order symmetry energy, it cannot be dropped simply for an accurate estimation of nuclear masses as it is still larger than the rms deviation given by some accurate mass formulas. It is therefore suggested that one perhaps needs to distinguish the neutron mass from the proton one in the construction of nuclear density funetionals. 展开更多
关键词 of on as in by first-order Symmetry Energy Induced by Neutron-Proton Mass Difference IS
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Extraction of P-and S-wave angle-domain common-image gathers based on first-order velocity-dilatation-rotation equations 被引量:1
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作者 Li Kai-Rui He Bing-Shou 《Applied Geophysics》 SCIE CSCD 2020年第1期92-102,169,共12页
Accuracy of angle-domain common-image gathers(ADCIGs)is the key to multiwave AVA inversion and migration velocity analysis,and of which Poynting vectors of pure P-and S-wave are the decisive factors in obtaining multi... Accuracy of angle-domain common-image gathers(ADCIGs)is the key to multiwave AVA inversion and migration velocity analysis,and of which Poynting vectors of pure P-and S-wave are the decisive factors in obtaining multi-component seismic data ADCIGs.A Poynting vector can be obtained from conventional velocity-stress elastic wave equations,but it focused on the propagation direction of mixed P-and S-wave fields,and neither on the propagation direction of the P-wave nor the direction of the S-wave.The Poynting vectors of pure P-or pure S-wave can be calculated from first-order velocity-dilatation-rotation equations.This study presents a method of extracting ADCIGs based on first order velocitydilatation-rotation elastic wave equations reverse-time migration algorithm.The method is as follows:calculating the pure P-wave Poynting vector of source and receiver wavefields by multiplication of P-wave particle-velocity vector and dilatation scalar,calculating the pure S-wave Poynting vector by vector multiplying S-wave particle-velocity vector and rotation vector,selecting the Poynting vector at the time of maximum P-wave energy of source wavefield as the propagation direction of incident P-wave,and obtaining the reflected P-wave(or converted S-wave)propagation direction of the receiver wavefield by the Poynting vector at the time of maximum P-(S-)wave energy in each grid point.Then,the P-wave incident angle is computed by the two propagation directions.Thus,the P-and S-wave ADGICs can obtained Numerical tests show that the proposed method can accurately compute the propagation direction and incident angle of the source and receiver wavefields,thereby achieving high-precision extraction of P-and S-wave ADGICs. 展开更多
关键词 first-order velocity-dilatation-rotation equations RTM Poynting vector ADCIGs
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A study on equivalence of nonlinear energy dissipation between first-order computational homogenization(FOCH)and re duce d-order homogenization(ROH)methods 被引量:2
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作者 Jiajia Yue Zifeng Yuan 《Theoretical & Applied Mechanics Letters》 CSCD 2021年第1期14-19,共6页
Nowadays,studies on the mechanism of macro-scopic nonlinear behavior of materials by accumulation of micro-scopic degradation are attracting more attention from researchers.Among numerous approaches,multiscale methods... Nowadays,studies on the mechanism of macro-scopic nonlinear behavior of materials by accumulation of micro-scopic degradation are attracting more attention from researchers.Among numerous approaches,multiscale methods have been proved as powerful and practical approaches in predicting macro-scopic material status by averaging and homogenizing physical information from associated micro-scopic mate-rial behavior.Usually in mechanical problem,the stress,consistent material modulus,and possible mate-rial state variables are quantities in interest through the upscaling process.However,the energy-related quantities are not studied much.Some initiative work has been done in the early year including but not limited to the Hill-Mandel condition in multiscale framework,which gives that the macro-scopic elastic strain energy density can be computed by volumetric averaging of that in the micro-scale.However,in the nonlinear analysis,the energy dissipation is an important quantity to measure the degradation status.In this manuscript,two typical multiscale methods,the first-order computational homogenization(FOCH)and reduced-order homogenization(ROH),are adopted to numerically analyze a fiber-reinforced compos-ite material with capability in material nonlinearity.With numerical experiments,it can be shown that energy dissipation is the same for both approaches. 展开更多
关键词 Multiscale first-order computational homogenization (FOCH) Reduced-order homogenization(ROH) Energy dissipation Computational certification
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