{"title":"在随机驱动的水平板上平衡垂直棍:卡皮查效应的变体","authors":"Nachiketh M, J K Bhattacharjee","doi":"arxiv-2407.04112","DOIUrl":null,"url":null,"abstract":"We consider the trick of balancing a vertical stick on a horizontal plate. It\nis shown that the horizontal stochastic driving of the point of contact can\nprevent the stick from falling provided that the stochasticity is that of a\ncoloured noise with a correlation strength stronger than a critical value.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect\",\"authors\":\"Nachiketh M, J K Bhattacharjee\",\"doi\":\"arxiv-2407.04112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the trick of balancing a vertical stick on a horizontal plate. It\\nis shown that the horizontal stochastic driving of the point of contact can\\nprevent the stick from falling provided that the stochasticity is that of a\\ncoloured noise with a correlation strength stronger than a critical value.\",\"PeriodicalId\":501167,\"journal\":{\"name\":\"arXiv - PHYS - Chaotic Dynamics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Chaotic Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.04112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Chaotic Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.04112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect
We consider the trick of balancing a vertical stick on a horizontal plate. It
is shown that the horizontal stochastic driving of the point of contact can
prevent the stick from falling provided that the stochasticity is that of a
coloured noise with a correlation strength stronger than a critical value.