{"title":"非弹性塌缩的几何方法","authors":"Yufei Zheng, Kritkorn Karntikoon, B. Chazelle","doi":"10.20382/jocg.v13i1a7","DOIUrl":null,"url":null,"abstract":"1 We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle 2 systems undergoing inelastic collapse. By deforming the spirals appropriately, we can simulate 3 collisions among particles with distinct or varying coefficients of restitution. Our geometric 4 constructions provide a strikingly simple illustration of a widely studied phenomenon in the 5 physics of dissipative gases: the collapse of inelastic particles. 6 Lines 154","PeriodicalId":54969,"journal":{"name":"International Journal of Computational Geometry & Applications","volume":"13 1","pages":"197-203"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Geometric Approach to Inelastic Collapse\",\"authors\":\"Yufei Zheng, Kritkorn Karntikoon, B. Chazelle\",\"doi\":\"10.20382/jocg.v13i1a7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"1 We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle 2 systems undergoing inelastic collapse. By deforming the spirals appropriately, we can simulate 3 collisions among particles with distinct or varying coefficients of restitution. Our geometric 4 constructions provide a strikingly simple illustration of a widely studied phenomenon in the 5 physics of dissipative gases: the collapse of inelastic particles. 6 Lines 154\",\"PeriodicalId\":54969,\"journal\":{\"name\":\"International Journal of Computational Geometry & Applications\",\"volume\":\"13 1\",\"pages\":\"197-203\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computational Geometry & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20382/jocg.v13i1a7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computational Geometry & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20382/jocg.v13i1a7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
1 We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle 2 systems undergoing inelastic collapse. By deforming the spirals appropriately, we can simulate 3 collisions among particles with distinct or varying coefficients of restitution. Our geometric 4 constructions provide a strikingly simple illustration of a widely studied phenomenon in the 5 physics of dissipative gases: the collapse of inelastic particles. 6 Lines 154
期刊介绍：
The International Journal of Computational Geometry & Applications (IJCGA) is a quarterly journal devoted to the field of computational geometry within the framework of design and analysis of algorithms.
Emphasis is placed on the computational aspects of geometric problems that arise in various fields of science and engineering including computer-aided geometry design (CAGD), computer graphics, constructive solid geometry (CSG), operations research, pattern recognition, robotics, solid modelling, VLSI routing/layout, and others. Research contributions ranging from theoretical results in algorithm design — sequential or parallel, probabilistic or randomized algorithms — to applications in the above-mentioned areas are welcome. Research findings or experiences in the implementations of geometric algorithms, such as numerical stability, and papers with a geometric flavour related to algorithms or the application areas of computational geometry are also welcome.
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