{"title":"扩散方程在Chladni模式建模中的推广","authors":"Igor Grabec, Nikolaj Sok","doi":"10.5545/sv-jme.2022.507","DOIUrl":null,"url":null,"abstract":"Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.","PeriodicalId":237575,"journal":{"name":"Strojniški vestnik","volume":"312 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diffusion Equation Generalized for Modeling of Chladni Patterns\",\"authors\":\"Igor Grabec, Nikolaj Sok\",\"doi\":\"10.5545/sv-jme.2022.507\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.\",\"PeriodicalId\":237575,\"journal\":{\"name\":\"Strojniški vestnik\",\"volume\":\"312 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Strojniški vestnik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5545/sv-jme.2022.507\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Strojniški vestnik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5545/sv-jme.2022.507","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Diffusion Equation Generalized for Modeling of Chladni Patterns
Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.
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