CURVATURE

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The Local Poincaré Inequality of Stochastic Dynamic and Application to the Ising Model
《Acta Mathematicae Applicatae Sinica》2025年第2期305-336,共32页Kai-yuan CUI Fu-zhou GONG 
supported by the National Natural Science Foundation of China(No.12288201).
Inspired by the idea of stochastic quantization proposed by Parisi and Wu,we reconstruct the transition probability function that has a central role in the renormalization group using a stochastic differential equatio...
关键词：Ising model stochastic quantization local Poincaréinequality Bakry-Émery curvature RENORMALIZATION 
A class of Hessian quotient equations in warped product manifolds
《Science China Mathematics》2025年第3期637-648,共12页Weimin Sheng Ke Xue 
supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。
Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...
关键词：warped product manifold (η k)-convex curvature equation 
Quantum geometry in condensed matter
《National Science Review》2025年第3期401-417,共17页Tianyu Liu Xiao-Bin Qiang Hai-Zhou Lu X.C.Xie 
supported by the National Key R&D Program of China(2022YFA1403700);the Innovation Program for Quantum Science and Technology(2021ZD0302400);the National Natural Science Foundation of China(12304196,12350402 and 11925402);the Guangdong Basic and Applied Basic Research Foundation(2022A1515111034,2023B0303000011);the Guangdong Provincial Quantum Science Strategic Initiative(GDZX2201001,GDZX2401001);the Department of Education of Guangdong Province(2020KCXTD001);the Science,Technology and Innovation Commission of Shenzhen Municipality(ZDSYS20190902092905285)and the Center for Computational Science and Engineering of SUSTech.
One of the most celebrated accomplishments of modern physics is the description of fundamental principles of nature in the language of geometry.As the motion of celestial bodies is governed by the geometry of spacetim...
关键词：quantum geometry Berry curvature quantum metric nonlinear transport flat-band superconductor fractional Chern insulator 
Amplifying cation effects on high-curvature nanostructures via enhancing interfacial electric field for CO_(2)RR to multicarbon product
《Nano Research》2025年第3期178-186,共9页Weizheng Tang Yongjun Shen Yu Yang Congcong Li Yu Li Shixin Yin Fengwang Li Huihui Li Chunzhong Li 
supported by the National Natural Science Foundation of China(Nos.U22B20143 and 22478121);Shanghai Municipal Science and Technology Major Project,the Science and Technology Commission of Shanghai Municipality(No.22dz1205900);the Fundamental Research Funds for the Central Universities(No.JKD01241702);F.W.L.acknowledges the financial support from the ARC Centre of Excellence for Green Electrochemical Transformation of Carbon Dioxide(No.CE230100017).
Cation effect has emerged as a promising strategy for modulating the product distribution during the electrocatalytic CO_(2)reduction reaction(CO_(2)RR).However,the strategy of solely increasing bulk cation concentrat...
关键词：CO_(2)reduction reaction(CO_(2)RR) cation effect interfacial electric field surface charge density high-curvature nanostructure 
The curvature structure unlocks an ultra-efficient metal-free carbon catalyst surpassing gold for acetylene hydrochlorination
《Chinese Journal of Catalysis》2025年第3期260-271,共12页Shuhao Wei Ye Chen Yiyang Qiu Wei Kong Di Lin Jiarong Li Guojun Lan Yi Jia Xiucheng Sun Zaizhe Cheng Jian Liu PHu Ying Li 
国家重点研发项目(2024YFC3907904);2019年“稀土、煤化工”项目资助和内蒙古自治区科技攻关项目(2019ZD017).
Metal-free carbon catalysts have garnered significant attention since their inception.Despite substantial advancements,including widely adopted strategies such as heteroatom doping and defect engineering,their catalyt...
关键词：METAL-FREE Carbon catalyst CURVATURE Acetylene hydrochlorination Carbocatalysis 
Numerical Simulation of Blood Flow Dynamics in a Stenosed Artery Enhanced by Copper and Alumina Nanoparticles
《Computer Modeling in Engineering & Sciences》2025年第2期1839-1864,共26页Haris Alam Zuberi Madan Lal Amol Singh Nurul Amira Zainal Ali J.Chamkha 
funded by Universiti Teknikal Malaysia Melaka and Ministry of Higher Education(MoHE)Malaysia,grant number FRGS/1/2024/FTKM/F00586.
Nanotechnology holds immense importance in the biomedical field due to its ability to revolutionize healthcare on a molecular scale.Motivated by the imperative of enhancing patient outcomes,a comprehensive numerical s...
关键词：Blood flow simulation STENOSIS copper and alumina nanoparticles thermal radiation curvature parameter 
NOTES ON THE LOG-MINKOWSKI INEQUALITY OF CURVATURE ENTROPY
《Acta Mathematica Scientia》2025年第1期16-26,共11页Deyi LI Lei MA Chunna ZENG 
supported by the NSFC(12171378);supported by the Characteristic innovation projects of universities in Guangdong province(2023K-TSCX381);supported by the Young Top-Talent program of Chongqing(CQYC2021059145);the Major Special Project of NSFC(12141101);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJZD-K202200509);the Natural Science Foundation Project of Chongqing(CSTB2024NSCQ-MSX0937).
An upper estimate of the new curvature entropy is provided,via the integral inequality of a concave function.For two origin-symmetric convex bodies in R^(n),this bound is sharper than the log-Minkowski inequality of c...
关键词：convex bodies the log-Minkowski inequality curvature entropy the log-Minkowski inequality of curvature entropy 
Probing the shape of the primordial curvature power spectrum and the energy scale of reheating with pulsar timing arrays
《Chinese Physics B》2025年第2期189-197,共9页Lele Fan Jie Zheng Fengge Zhang Zhi-Qiang You 
supported by the National Natural Science Foundation of China (Grant No. 12305059);supported by the National Natural Science Foundation of China (Grant No. 12305075);supported by the National Natural Science Foundation of China (Grant No. 12403002);the Joint Fund of Henan Province Science and Technology R&D Program (Grant No. 235200810111);the Startup Research Fund of Henan Academy of Sciences (Grant No. 241841224);the Startup Research Fund of Henan Academy of Sciences (Grant No. 241841221)。
Recent observations by pulsar timing array collaborations have detected a stochastic common-spectrum signal, which may originate from scalar-induced gravitational waves generated by primordial curvature perturbations ...
关键词：gravitational waves PULSARS 
Kinematic modeling and stability analysis for a wind turbine blade inspection robot
《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2025年第2期121-137,共17页Jindan WANG Xiaolong MA Xinghan ZHU Xin WANG Lan ZHANG Binrui WANG 
supported by the Zhejiang Lab Open Research Project(No.121001-AB2212);the Zhejiang Provincial Key Research and Development Program(No.2023C03186),China。
Robots are used to conduct non-destructive defect detection on wind turbine blades(WTBs)and to monitor their integrity over time.However,current inspection robots are often bulky and heavy,and struggle to detect defec...
关键词：Composite robot Wind turbine blades(WTBs) Surface of variable curvature STABILITY Nondestructive testing 
Node ranking based on graph curvature and PageRank
《Chinese Physics B》2025年第2期496-507,共12页Hongbo Qu Yu-Rong Song Ruqi Li Min Li Guo-Ping Jiang 
Project partially supported by the National Natural Science Foundation of China (Grant Nos. 61672298 and 62373197);the Major Project of Philosophy and Social Science Research in Colleges and Universities in Jiangsu Province,China (Grant No. 2018SJZDI142);the Postgraduate Research & Practice Innovation Program of Jiangsu Province,China (Grant No. KYCX23 1045)。
Identifying key nodes in complex networks is crucial for understanding and controlling their dynamics. Traditional centrality measures often fall short in capturing the multifaceted roles of nodes within these network...
关键词：important nodes graph curvature complex networks network geometry 
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