Theory and applications of the nonexistence of simple toroidal plasma equilibrium
Theory and applications of the nonexistence of simple toroidal plasma equilibrium
复制标题
简单环形等离子体平衡不存在的理论与应用
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
H. Grad
中科院分区：
文献类型：
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作者：
H. Grad
与磁场压力平衡的导电等离子体理论的基础是一个具有真实的和虚部特性的数学复合系统。1967年，有人指出，在嵌套环形压力面的假设平衡中，除了某些特定的对称情况外，真实的特征的存在会导致矛盾。真实的特性表示多个物理性质沿沿着磁场线的传播。因此，所发现的压力平衡的缺乏并不是一个理想化模型的特殊结果，而是广泛地延续到各种物理改进和推广。事实上，数学结果具有深刻的物理后果，这些后果已经逐渐进入理性旋转数共振和多重螺旋度，岛屿形成和湍流的背景下的领域。
The basis of the theory of electrically conducting plasma in pressure balance with a magnetic field is a mathematically composite system with both real and imaginary characteristics. In 1967, it was pointed out that in a hypothetical equilibrium of nested toroidal pressure surfaces, the presence of real characteristics leads to contradiction except in certain specific symmetric cases. The real characteristics represent the propagation along magnetic field lines of a number of physical properties. Thus the discovered lack of pressure balance is not a special consequence of one idealized model but carries over broadly to a variety of physical refinements and generalizations. Indeed, the mathematical result has profound physical consequences which have gradually entered the field in the context of rational rotation number resonances and multiple helicities, island formation, and turbulence.