{"title":"Two-stream instability","authors":"北尾 一夫","doi":"10.1142/9789813276765_0008","DOIUrl":"https://doi.org/10.1142/9789813276765_0008","url":null,"abstract":"For an introduction to the instability, see Chapter 6.6 of the plasma physics textbook by Chen. We imagine a plasma with cold electrons moving relative to cold ions. The dispersion relation is 1 F k ω () 0 where F k ω () ω pe 2 ω k v () 2 ω pi 2 ω 2 The little black boxes indicate that evaluation has been disabled. Let's give the variables some values: ω pe 10 ω pi 10 k 1 v 20 F k ω () ω pe 2 ω k v () 2 ω pi 2 ω 2 Now we plot this function using values that miss the singularities. We make two plots, one with k = 1 and one with k = 2. Also we plot a line one unit above zero.","PeriodicalId":251498,"journal":{"name":"Fundamentals of Theoretical Plasma Physics","volume":"787 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1964-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126995992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}