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Self consistent thermal wave model description of the transverse dynamics for relativistic charged particle beams in magnetoactive plasmas

@article{Fedele2011SelfCT,
title={Self consistent thermal wave model description of the transverse dynamics for relativistic charged particle beams in magnetoactive plasmas},
author={Renato Fedele and Fatema Tanjia and Sergio De Nicola and Padma Kant Shukla and Du{\vs}an Jovanovi{\'c}},
journal={arXiv: Plasma Physics},
year={2011}
}

ez, respectively, where q = e and q = e for electrons and positrons, respectively. We ignore the longitudinal beam dynamics and concentrate our investigation on the transverse effects only. We express the total electric and magnetic fields of the beam-plasma system in terms of the four-potential (A,f) and introduce small deviations of all the quantities with respect to the initial state n= n0, u= 0,A=A0(r)=(B0◊r)/2,f = 0; then we writeu= ˆ ezu1z+u1?,A=A0+ ˆ ezA1z+A1?, f = f1. Furthermore, we… Expand

Abstract To describe the transverse nonlinear and collective self-consistent interaction of a long relativistic electron or positron beam with an unmagnetized plasma, a pair of coupled nonlinear… Expand

Abstract The standard classical description of non-laminar charged particle beams in paraxial approximation is extended to the context of two wave theories. The first theory that we discuss (Fedele… Expand