{"title":"STOCHASTICITY AND TRANSPORT IN HAMILTONIAN SYSTEMS","authors":"R. MacKay, J. Meiss, I. Percival","doi":"10.1103/PHYSREVLETT.52.697","DOIUrl":null,"url":null,"abstract":"The theory of transport in nonlinear dynamics is developed in terms of ''leaky'' barriers which remain when invariant tori are destroyed. A critical exponent for transport times across destroyed tori is obtained which explains numerical results of Chirikov. The combined effects of many destroyed tori lead to power-law decay of correlations observed in many computations.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"63 1","pages":"42-54"},"PeriodicalIF":0.0000,"publicationDate":"1984-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"137","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The annual research report","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/PHYSREVLETT.52.697","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 137
Abstract
The theory of transport in nonlinear dynamics is developed in terms of ''leaky'' barriers which remain when invariant tori are destroyed. A critical exponent for transport times across destroyed tori is obtained which explains numerical results of Chirikov. The combined effects of many destroyed tori lead to power-law decay of correlations observed in many computations.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
