Low-order dynamical models for non-linear fluid behaviour in quasi two-dimensional plasmas

磁场作用于二维流体运动的两个复杂系统是湍流聚变等离子体和磁层等离子体。二维流的一个独特性质是反向能量级联，即能量流入大尺度涡旋、相干结构或剪切流动时，具有显著的自组织行为倾向。这可以被用来管理或指导我们对这类系统的反应。我们建议使用简化的动力学模型以及分叉和稳定性数学来研究这些等离子体中的动量和能量交换的动力学。预期的结果是改进了对磁层亚暴的预测和聚变等离子体的限制。

Two complex systems in which a magnetic field imposes two-dimensional fluid motions are turbulent fusion plasmas and magnetospheric plasmas. A distinctive property of 2D flows is the inverse energy cascade, whereby energy streaming into large-scale vortices, coherent structures, or sheared flows gives a remarkable propensity for self-organizing behaviour. This can be exploited to govern or guide our response to such systems. We propose to investigate the dynamics of momentum and energy exchange in these plasmas, using reduced dynamical models and bifurcation and stability mathematics. Expected outcomes are improved prediction of magnetospheric substorms and confinement of fusion plasmas.