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graphical representations and worm algorithms for the O(N) spin model

Communications in Theoretical Physics 2023年第11期75卷 152-161页

作者： Longxiang Liu Lei Zhang Xiaojun Tan Youjin Deng Simulation of Physical Systems Division Beijing Computational Science Research CenterBeijing 100193China National Laboratory for Physical Sciences at Microscale University of Science and Technology of ChinaHefeiAnhui 230026China Department of Modern Physics University of Science and Technology of ChinaHefeiAnhui 230026China

We present a family of graphical representations for the O(N)spin model,where N≥1 represents the spin dimension,and N=1,2,3 corresponds to the Ising,XY and Heisenberg models,*** an integer parameter 0≤ℓ≤N/2,each configuration is the coupling of ℓ copies of subgraphs consisting of directed flows and N−2ℓ copies of subgraphs constructed by undirected loops,which we call the XY and Ising subgraphs,*** each lattice site,the XY subgraphs satisfy the Kirchhoff flow-conservation law and the Ising subgraphs obey the Eulerian bond ***,we formulate worm-type algorithms and simulate the O(N)model on the simple-cubic lattice for N from 2 to 6 at all possibleℓ.It is observed that the worm algorithm has much higher efficiency than the Metropolis method,and,for a given N,the efficiency is an increasing function ofℓ.Besides Monte Carlo simulations,we expect that these graphical representations would provide a convenient basis for the study of the O(N)spin model by other state-of-the-art methods like the tensor network renormalization.

关键词： Markov-chain Monte Carlo algorithms continuous spin models graphical representations

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Examining data visualization pitfalls in scientific publications

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Visual Computing for Industry,Biomedicine,and Art 2021年第1期4卷 268-282页

作者： Vinh T Nguyen Kwanghee Jung Vibhuti Gupta Department of Information Technology TNU–University of Information and Communication TechnologyThai NguyenVietnam Department of Educational Psychology Leadershipand CounselingTexas Tech UniversityLubbockTX 79409United States Department of Computer Science and Data Science Meharry Medical CollegeNashvilleTN 37208USA

Data visualization blends art and science to convey stories from data via graphical *** different problems,applications,requirements,and design goals,it is challenging to combine these two components at their full *** the art component involves creating visually appealing and easily interpreted graphics for users,the science component requires accurate representations of a large amount of input *** a lack of the science component,visualization cannot serve its role of creating correct representations of the actual data,thus leading to wrong perception,interpretation,and *** might be even worse if incorrect visual representations were intentionally produced to deceive the *** address common pitfalls in graphical representations,this paper focuses on identifying and understanding the root causes of misinformation in graphical *** reviewed the misleading data visualization examples in the scientific publications collected from indexing databases and then projected them onto the fundamental units of visual communication such as color,shape,size,and spatial ***,a text mining technique was applied to extract practical insights from common visualization ***’s Q test and McNemar’s test were conducted to examine if there is any difference in the proportions of common errors among color,shape,size,and spatial *** findings showed that the pie chart is the most misused graphical representation,and size is the most critical *** was also observed that there were statistically significant differences in the proportion of errors among color,shape,size,and spatial orientation.

关键词： Data visualization graphical representations Misinformation Visual encodings Association rule mining Word cloud Cochran’s Q test McNemar’s test

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