Systematic solution of the Vlasov-Poisson equations for charged particle beams

被引：28

作者：

Channell, PJ ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

PHYSICS OF PLASMAS | 1999年 / 6卷 / 03期

关键词：

BEAM-PLASMA SYSTEMS; BOLTZMANN-VLASOV EQUATION; CHARGED-PARTICLE TRANSPORT; FOCUSING; HAMILTONIANS; POISSON EQUATION;

D O I：

10.1063/1.873339

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Rapidly oscillating solutions of the Vlasov-Poisson equations are required when external forces are rapidly oscillating, as occurs in focusing systems for charged particle beams. Such systems are treated using a Hamiltonian averaging technique carried out to third order. As a result one can deal with the problems of matching, stability, and transient time evolution using the well-established techniques previously used for simpler, time-independent systems. (C) 1999 American Institute of Physics. [S1070-664X(99)03203-6].

引用

页码：982 / 993

页数：12

共 12 条

[1]

CHANNELL PJ, 1996, FIELDS I COMMUN, V10, P45

[2]

Davidson RC, 1998, PART ACCEL, V59, P175

[3] Nonlinear stability theorem for high-intensity charged particle beams [J].