{"title":"Coupling, degeneracy breaking and isolation of Weibel modes in relativistic plasmas: II. Specific examples","authors":"R. Tautz, I. Lerche","doi":"10.1088/0305-4470/39/47/018","DOIUrl":null,"url":null,"abstract":"Recently, a general proof was given (Tautz et al 2006 J. Phys. A: Math. Gen. 39 13831) that for an asymmetric relativistic particle phase-space distribution function, and in the absence of a homogeneous background magnetic field, any unstable linear Weibel modes are isolated, i.e. restricted to discrete wavenumbers. In this paper, for a specific distribution function consisting of mono-energetic counterstreaming electron and positron beams, growth rates and associated wavenumbers for the isolated modes are calculated, proving the existence of discrete values for unstable wavenumbers. Furthermore, electrostatic and electromagnetic Weibel modes are investigated for monoenergetic counterstreaming plasmas, yielding constraints to the momentum components that have to be fulfilled in order to have unstable wave modes.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/47/018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
Recently, a general proof was given (Tautz et al 2006 J. Phys. A: Math. Gen. 39 13831) that for an asymmetric relativistic particle phase-space distribution function, and in the absence of a homogeneous background magnetic field, any unstable linear Weibel modes are isolated, i.e. restricted to discrete wavenumbers. In this paper, for a specific distribution function consisting of mono-energetic counterstreaming electron and positron beams, growth rates and associated wavenumbers for the isolated modes are calculated, proving the existence of discrete values for unstable wavenumbers. Furthermore, electrostatic and electromagnetic Weibel modes are investigated for monoenergetic counterstreaming plasmas, yielding constraints to the momentum components that have to be fulfilled in order to have unstable wave modes.
最近,给出了一个一般的证明(Tautz et al . 2006 J. Phys.)。答:数学。(Gen. 39 13831),对于不对称相对论性粒子相空间分布函数,在没有均匀背景磁场的情况下,任何不稳定的线性Weibel模都是孤立的,即限制为离散波数。本文对由单能逆流电子束和正电子束组成的特定分布函数,计算了孤立模的增长率和相关波数,证明了不稳定波数的离散值的存在性。此外,对单能量逆流等离子体的静电和电磁威贝尔模式进行了研究,得出了为了具有不稳定的波模式而必须满足的动量分量的约束。