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Exact solutions for the adiabatic collapse and forced radial pulsations of a plasma cylinder containing a magnetic field

机译:含有磁场的等离子圆柱体的绝热坍塌和受迫径向脉动的精确解决方案

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摘要

The radial adiabatic motion of an ideally conducting plasma is governed by a complicated non-linear partial differential equation. For particular equili¬brium configurations of the plasma and particular values of the force exerted on the plasma surface, separable solutions of the differential equation can be found. For these solutions the problem is reduced to the solution of simple ordinary differential equations.nSuch separable solutions can be obtained for a plasma with an arbitrary density profile but once this is prescribed there are restrictions on the possible magnetic field and pressure profiles. Detailed results are obtained for only one density profile and the solutions are used to describe both plasma collapse and forced pulsations about an equilibrium position. The current waveforms which provide the required force on the plasma surface are calculated.

著录项

  • 作者

    R. J. TAYLER;

  • 作者单位
  • 年度 1960
  • 页码 1-28
  • 总页数 28
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工业技术;
  • 关键词

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