首页> 美国政府科技报告 >Statistically-averaged rate equations for intense nonneutral beam propagation through a periodic solenoidal focusing field based on the nonlinear Vlasov-Maxwell equations
【24h】

Statistically-averaged rate equations for intense nonneutral beam propagation through a periodic solenoidal focusing field based on the nonlinear Vlasov-Maxwell equations

机译:基于非线性Vlasov-maxwell方程的强周期非线性光束通过周期性螺线管聚焦场的统计平均速率方程

获取原文

摘要

This paper presents a detailed formulation and analysis of the rate equations for statistically-averaged quantities for an intense nonneutral beam propagating through a periodic solenoidal focusing field B(sup sol)(x). The analysis is based on the nonlinear Vlasov-Maxwell equations in the electrostatic approximation, assuming a thin beam with characteristic beam radius r(sub b) (much-lt) S. The results are applied to investigate the nonlinear evolution of the generalized entropy, mean canonical angular momentum (l-angle)P(sub (theta))(r-angle), center-of-mass motion for (l-angle)X(r-angle) and (l-angle)Y(r-angle), mean kinetic energy (1/2) (l-angle)X(sup (prime)2) + Y(sup (prime)2)(r-angle), mean-square beam radius (l-angle)X(sup 2) + Y(sup 2) (r-angle), and coupled rate equations for the unnormalized transverse emittance (epsilon)(s) and root-mean-square beam radius R(sub b)(s) = (l-angle)X(sup 2) + Y(sup 2)(r-angle)(sup 1/2). Global energy balance is discussed, and the coupled rate equations for (epsilon)(s) and R(sub b)(s) are examined for the class of axisymmetric beam distributions F(sub b).

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号