{"title":"变长宽比三角形的渗透特性","authors":"C. G. Correa, A. Feinerman","doi":"10.5210/JUR.V7I1.7530","DOIUrl":null,"url":null,"abstract":"Percolation is the study of random networks and their nature of connectivity. An exponential relationship between the percolation threshold and the aspect ratio of a shape is observed within this paper. Matlab simulations and a novel experimental method are utilized to determine the percolation threshold across a conductive sheet as triangles of variable aspect ratios are cut with a Universal Laser System X2-600 100 Watt CO2 laser. Resistance is measured as a voltage of 100mV is applied across the conductive sheet of aluminum coated Mylar film. This data is then analyzed to yield the percolation threshold relating to a triangle with a specified aspect ratio. We establish an equilateral triangle to have an aspect ratio of one.","PeriodicalId":426348,"journal":{"name":"The Journal of Undergraduate Research at the University of Illinois at Chicago","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Percolation Properties of Triangles With Variable Aspect Ratios\",\"authors\":\"C. G. Correa, A. Feinerman\",\"doi\":\"10.5210/JUR.V7I1.7530\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Percolation is the study of random networks and their nature of connectivity. An exponential relationship between the percolation threshold and the aspect ratio of a shape is observed within this paper. Matlab simulations and a novel experimental method are utilized to determine the percolation threshold across a conductive sheet as triangles of variable aspect ratios are cut with a Universal Laser System X2-600 100 Watt CO2 laser. Resistance is measured as a voltage of 100mV is applied across the conductive sheet of aluminum coated Mylar film. This data is then analyzed to yield the percolation threshold relating to a triangle with a specified aspect ratio. We establish an equilateral triangle to have an aspect ratio of one.\",\"PeriodicalId\":426348,\"journal\":{\"name\":\"The Journal of Undergraduate Research at the University of Illinois at Chicago\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Undergraduate Research at the University of Illinois at Chicago\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5210/JUR.V7I1.7530\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Undergraduate Research at the University of Illinois at Chicago","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5210/JUR.V7I1.7530","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Percolation Properties of Triangles With Variable Aspect Ratios
Percolation is the study of random networks and their nature of connectivity. An exponential relationship between the percolation threshold and the aspect ratio of a shape is observed within this paper. Matlab simulations and a novel experimental method are utilized to determine the percolation threshold across a conductive sheet as triangles of variable aspect ratios are cut with a Universal Laser System X2-600 100 Watt CO2 laser. Resistance is measured as a voltage of 100mV is applied across the conductive sheet of aluminum coated Mylar film. This data is then analyzed to yield the percolation threshold relating to a triangle with a specified aspect ratio. We establish an equilateral triangle to have an aspect ratio of one.
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