Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows
Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows
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DOI：
10.1063/1.872912
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发表时间：
1998-05
影响因子：
2.2
通讯作者：
H. Tasso;G. Throumoulopoulos
中科院分区：
文献类型：
--
作者：
H. Tasso;G. Throumoulopoulos
研究表明，轴对称等离子体的理想磁流体动力学（MHD）平衡态是由极向磁通量函数的椭圆型偏微分方程控制的，该方程包含沿着与压力的关系的五个表面量.精确的平衡，包括非零极向和环形流和差分变化的径向电场。与具有等温磁表面的圆柱形不可压缩平衡的情况不同，等温磁表面必须具有圆形横截面[G. N. Throumoulopoulos和H. Tasso，Phys.Plasmas 4，1492（1997）]，在相应的轴对称平衡中，对磁表面的形状没有限制。后者的平衡满足一组六个常微分方程的流动平行的磁场B可以半解析地解决。此外，还证明了（a）纯不可压轴对称平衡点的不存在性。
It is shown that the ideal magnetohydrodynamic (MHD) equilibrium states of an axisymmetric plasma with incompressible flows are governed by an elliptic partial differential equation for the poloidal magnetic flux function ψ containing five surface quantities along with a relation for the pressure. Exact equilibria are constructed including those with nonvanishing poloidal and toroidal flows and differentially varying radial electric fields. Unlike the case in cylindrical incompressible equilibria with isothermal magnetic surfaces which should have necessarily circular cross sections [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 4, 1492 (1997)], no restriction appears on the shapes of the magnetic surfaces in the corresponding axisymmetric equilibria. The latter equilibria satisfy a set of six ordinary differential equations which for flows parallel to the magnetic field B can be solved semianalytically. In addition, it is proved the nonexistence of incompressible axisymmetric equilibria with (a) pur...