Vlasov’s kinetic theory of the collective charged particle beam transport through a magnetized plasma in the strongly nonlocal regime

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2014-09, Vol.68 (9), Article 271
• Main Authors: Fedele, Renato, Mannan, Abdul, De Nicola, Sergio, Jovanović, Dusan, Akhter, Tahmina
• Format: Article
• Language: English
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Exact sciences and technology; Magnetized plasmas; Molecular; Optical and Plasma Physics; Physical Chemistry; Physics; Physics and Astronomy; Physics of gases, plasmas and electric discharges; Physics of plasmas and electric discharges; Plasma properties; Quantum Information Technology; Quantum Physics; Regular Article; Spectroscopy/Spectrometry; Spintronics; Topical issue: Theory and Applications of the Vlasov Equation; Transport properties
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2014-50220-6

Within the Vlasov’s kinetic theory, describing the plasma wake field interaction, the collective transport of a warm nonlaminar relativistic charged particle beam is analyzed in the strongly nonlocal regime, where the beam spot-size is much less than the plasma wavelength. This is done in the overdense regime, i.e., the beam density is much less than the plasma density. The beam is supposed to be sufficiently long to experience the adiabatic shielding by the plasma. In these conditions, we neglect the longitudinal beam dynamics and focus on the transverse one only. We derive the virial description (envelope description) from the 2D Vlasov-Poisson-type system of equations that governs the transverse self-consistent plasma wake field excitation. The resulting envelope equation is then reduced, in the aberration-less approximation, to a differential equation for the beam spot size, where the role of the ambient magnetic field is evaluated in both laboratory and astrophysical environments. An analysis of the beam envelope self-modulation is then carried out and the criteria for the occurrence of the instability are found.