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REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL

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Acta Mathematica Scientia 2024年第6期44卷 2111-2124页

作者：郭常予向长林郑高峰 Research Center for Mathematics and interdisciplinary sciences Shandong University department of Physics and Mathematics University of Eastern Finland Three Gorges Mathematical Research Center China Three Gorges University School of Mathematics and Statistics Central China Normal University

Conservation law plays a very important role in many geometric variational problems and related elliptic *** this note,we refine the conservation law obtained by Lamm-Rivière for fourth order systems and de Longuevil... 详细信息

关键词： 35J35 58E20 antisymmetric potential conservation law even order elliptic system Uhlenbeck’s gauge transform weak compactness

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

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Chinese Physics B 2024年第5期33卷 204-211页

作者： Y.Lahlou B.Maroufi M.Daoud LPHE-MS Department of PhysicsFaculty of SciencesMohammed V UniversityRabatMorocco LPMS Department of PhysicsFaculty of SciencesIbn Tofail UniversityKénitraMorocco

Quantum correlations that surpass entanglement are of great importance in the realms of quantum information processing and quantum ***,for quantum systems prepared in pure states,it is difficult to differentiate between quantum entanglement and quantum ***,this indistinguishability is no longer holds for mixed *** contribute to a better understanding of this differentiation,we have explored a simple model for both generating and measuring these quantum *** study concerns two macroscopic mechanical resonators placed in separate Fabry–Pérot cavities,coupled through the photon hopping *** system offers a comprehensively way to investigate and quantify quantum correlations beyond entanglement between these mechanical *** key ingredient in analyzing quantum correlation in this system is the global covariance *** forms the basis for computing two essential metrics:the logarithmic negativity(E_(N)^(m))and the Gaussian interferometric power(P_(G)^(m)).These metrics provide the tools to measure the degree of quantum entanglement and quantum correlations,*** study reveals that the Gaussian interferometric power(P_(G)^(m))proves to be a more suitable metric for characterizing quantum correlations among the mechanical modes in an optomechanical quantum system,particularly in scenarios featuring resilient photon hopping.

关键词： quantum correlations entanglement Gaussian interferometric power logarithmic negativity optomechanics photon hopping

Emission colour tuning in KLnF_(4):Yb^(3+),Er^(3+)/Ho^(3+)phosphor

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Journal of Rare Earths 2024年第1期42卷 57-65,I0002页

作者： Janani K Gayathri E Vijayatha V Ramasubramanian S Thiyagarajan P department of Science and Humanities Nehru Institute of TechnologyKaliapuramThirumalayampalayamCoimbatoreIndia department of sciences Amrita School of Physical SciencesAmrita Vishwa VidyapeethamCoimbatoreIndia department of Physics Anna UniversityChennaiIndia

KLnF_(4):Yb^(3+),Er^(3+)/Ho^(3+)(Ln=Y,Yb,Gd)phosphors were prepared by solid-state reaction *** each of the Yb^(3+)/Er^(3+)and Yb^(3+)/Ho^(3+)co-doped phosphors independently,phase confirmation and morphological examination were accomplished using the X-ray diffraction technique and scanning electron microscope analysis.X-ray photoelectron spectroscopy analysis shows the charge state and existence of lanthanides and *** luminescence emissions of green and red colour were detected for the synthesized *** changes in the upconverted emission intensities and colour output pertaining to the change of the lanthanide host matrix along with dopants were investigated for the prepared *** the upconversion luminescence,erbium-doped samples exhibit a predominance of red emission while holmium-doped samples display a prevalence of green *** rare-earth Er/Ho doped KYbF4shows strong red emission compared to other ***_(4):Yb,Er/Ho exhibits relatively significant green upconve rsion emissions,while Yb,Er-doped KGdF_(4)host displays a 10-fold increase in green/red emission ratio with an increase in the input power of 20-780 *** photoluminescence studies and decay curve analysis were carried out using UV light excitation for the developed phosphors.A higher lifetime of 2.2 ms was measured for the downshifting red emission in the Ho doped KYbF_(4)*** study suggests a potential for colour tunability in the upconversion and downshifting emissions through host modifications to the fluoride phosphor.

关键词： Rare earths Energy transfer upconversion Downshifting Colour coordinates

Identifying flow regime in the aquifer of fractured rock system in Germi Chai Basin,Iran

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Journal of Mountain Science 2024年第2期21卷 574-589页

作者： VAEZIHIR Abdorreza SEPEHRIPOUR Ali TABARMAYEH Mehri department of Earth sciences University of TabrizTabriz ***Iran

Considering the importance of fractured rock aquifers in the hydrogeologic process,this research aimed to analyze the flow regime,internal degree of karstification,and estimate storage volume in fractured rock aquifers of the Germi Chai Basin in northwest Iran,which is attributed to its active tectonics,erosion,and the lithological *** the geological setting,the hypothesis is that this basin is characterized by a high degree of karstification and diffuse or intermediate flow regime leading to variation in discharge flow *** hydrodynamic and hadrochemical analysis was conducted on 9 well distributed springs across the basin from 2019 to *** maximum flow rate in most of the springs appeared in the early wet season despite their different levels of fluctuations on the monthly discharge time *** the spring recession curve form revealed an aquifer containing multiple micro-regimes withαrecession coefficients and a degree of karstification ranging between 0.001 to 0.06 and 0.55 to 2.61,*** findings indicated a dominant diffuse and intermediate flow system resulting from the development of a high density of fractures in this *** electrical conductivity of the spring changes inversely proportional to the change in flow discharge,indicating the reasonable hydrological response of the aquifer to rainfall *** analysis revealed that the delay time of spring discharge after rainfall events mostly varies between 10 to 30 *** total dynamic storage volume of the spring for a given period(2019-2020)was estimated to be approximately 1324 million cubic meters reflecting the long-term drainage potential and high perdurability of dynamic *** the maximum and minimum ratio revealed that the springs recharging system in Germi Chai Basin comes under the slow aquifers *** finding provides valuable insight into the hydrogeological properties of fractured rock aquifers contributing to effective w

关键词： Fractured rock aquifer Hydrodynamic and hadrochemical analysis Germi Chai Basin Recession coefficient

Sturge–Weber syndrome:an update for the pediatrician

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World Journal of Pediatrics 2024年第5期20卷 435-443页

作者： Emilie Dingenen Damien Segers Hannelore De Maeseneer Dirk Van Gysel Ghent University Faculty of Medicine and Health sciences GhentBelgium department of Pediatrics O.L.Vrouw Hospital AalstMoorselbaan 1649300AalstBelgium interdisciplinary Unit of Pediatric Dermatology Vrije Universiteit Brussel(VUB)Universitair Ziekenhuis Brussel(UZ Brussel)BrusselsBelgium

Sturge–Weber syndrome(SWS)is a rare congenital neurocutaneous disorder characterized by the simultaneous presence of both cutaneous and extracutaneous capillary *** usually presents as a facial port-wine birthmark,with a varying presence of leptomeningeal capillary malformations and ocular vascular *** latter may lead to significant neurological and ocular morbidity such as epilepsy and *** is most often caused by a somatic mutation involving the G protein subunit alpha Q or G protein subunit alpha 11 gene causing various alterations in downstream signaling *** specifically conducted a comprehensive review focusing on the current knowledge of clinical practices,the latest pathophysiological insights,and the potential novel therapeutic avenues they *** sources A narrative,non-systematic review of the literature was conducted,combining expert opinion with a balanced review of the available literature.A search of PubMed,Google Scholar and Embase was conducted,using keywords“Sturge–Weber Syndrome”OR“SWS”,“Capillary malformations”,“G protein subunit alpha 11”OR“G protein subunit alpha Q”.Results One of the hallmark features of SWS is the presence of a port-wine birthmark at birth,and forehead involvement is most indicative for *** most common ocular manifestations of SWS are glaucoma and choroidal *** presents in either in infancy(0–3 years of age)or later in *** complications are common in SWS,occurring in about 70%–80%of patients,with seizures being the most common *** significantly impacts the quality of life for patients and their families,and requires a multidisciplinary approach for diagnosis and ***,no disease-modifying therapies exist,and treatment is mostly focused on symptoms or complications as they *** SWS remains a complex and heterogeneous *** research is needed to optimize diagnostic and therapeutic strategies,and to transl

关键词： Capillary malformations G-protein Gq-G11 Port-wine birthmark Neurocutaneous disorder Sturge-Weber syndrome

Prediction of Ground State Configurations and Electrochemical Properties of Li_(3)InCl_(6) Doped with F, Br, and Ga

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Chinese Physics Letters 2024年第5期41卷 171-176页

作者：鲁征宇陈乐添胡绪陈素雅张旭周震 department of Materials Science and Engineering Nankai UniversityTianjin 300350China interdisciplinary Research Center for Sustainable Energy Science and Engineering School of Chemical EngineeringZhengzhou UniversityZhengzhou 450001China

Compared with conventional solid-state electrolytes, halide solid-state electrolytes have several advantages such as a wider electrochemical window, better compatibility with oxide cathode materials, improved air stability,and easier preparation conditions making them conductive to industrial production. We concentrate on a typical halide solid-state electrolyte, Li_(3)InCl_(6), predict the most stable structure after doping with Br, F, and Ga by using the Alloy Theoretic Automated Toolkit based on first-principles calculations, and verify the accuracy of the prediction model. To investigate the potential of three equivalently doped ground state configurations of Li_(3)InCl_(6) as solid-state electrolytes for all-solid-state lithium-ion batteries, their specific properties such as crystal structure,band gap, convex packing energy, electrochemical stability window, and lithium-ion conductivity are computationally analyzed using first-principles calculations. After a comprehensive evaluation, it is determined that the F-doped ground state configuration Li_(3)InCl_(2.5)F_(3.5) exhibits better thermal stability, wider electrochemical stability window, and better lithium ion conductivity(1.80 m S·cm^(-1) at room temperature). Therefore, Li_(3)InCl_(2.5)F_(3.5) has the potential to be used in the field of all-solid-state lithium-ion batteries as a new type of halide electrolyte.

关键词： lithium stability electrolyte

Jackson-type inequalities on high-dimensional spheres

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Science China Mathematics 2024年第11期67卷 2571-2586页

作者： Yeli Niu Feng Dai department of Mathematics Shanghai Normal University department of Mathematical and Statistical sciences University of Alberta

We study Jackson's inequality on high-dimensional spheres with respect to the modulus of smoothness defined via the rotation *** obtain a version of Jackson's inequality with a dimensionfree constant,extending Newman and Shapiro's well-known results in 1964 from the case of r = 1 and p = ∞ to more general *** results partially overcome the curse of *** also establish similar results on the equivalence of the K-functional and modulus of smoothness.

关键词： modulus of smoothness $K$-functional Jackson's inequality high-dimensional approximation

The KAM theorem on the modulus of continuity about parameters

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Science China Mathematics 2024年第3期67卷 577-592页

作者： Zhicheng Tong Jiayin Du Yong Li School of Mathematics Jilin UniversityChangchun 130012China Institute of Mathematics Jilin UniversityChangchun 130012China School of Mathematics and Statistics Center for Mathematics and Interdisciplinary SciencesNortheast Normal UniversityChangchun 130024China

In this paper,we study the Hamiltonian systems H(y,x,ξ,ε)=〈ω(ξ),y〉+εP(y,x,ξ,ε),where ω and P are continuous about ξ.We prove that persistent invariant tori possess the same frequency as the unperturbed tori,under a certain transversality condition and a weak convexity condition for the frequency mapping ω.As a direct application,we prove a Kolmogorov-Arnold-Moser(KAM) theorem when the perturbation P holds arbitrary Holder continuity with respect to the parameter ξ.The infinite-dimensional case is also *** our knowledge,this is the first approach to the systems with the only continuity in the parameter beyond H?lder's type.

关键词： Hamiltonian systems invariant tori frequency-preserving weak regularity

High precision current mirror circuit based on two-dimensional material transistors

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Science China(Information sciences) 2024年第8期67卷 353-354页

作者： Shiping GAO Chen PAN Pincheng SU Xing-Jian YANGDONG Wentao YU Zhoujie ZENG Yu SHEN Jingwen SHI Yanwei CUI Pengfei WANG Yuekun YANG Cong WANG Bing CHENG Shi-Jun LIANG Feng MIAO Institute of interdisciplinary Physical sciences School of Physics Nanjing University of Science and Technology Institute of Brain-Inspired Intelligence National Laboratory of Solid State Microstructures School of PhysicsCollaborative Innovation Center of Advanced Microstructures

The emerging two-dimensional field-effect transistor(2DFET) is considered an important candidate device for driving future integrated circuit technology toward higher performance, lower power consumption, and more functionalities [1,2]. Among the integrated circuits, analog circuits play a crucial role as they are responsible for sampling, amplifying, and transmitting signals.

关键词： Timing circuits