标题： 相对论非线性轴子磁流体力学 显示英文标题

标题： Relativistic nonlinear axion magnetohydrodynamics

摘要： 广义相对论磁流体力学的新非线性轴向扩展版本被提出。 该理论的自洽形式化基于将新的统一标量不变量引入拉格朗日量中，这一不变量在麦克斯韦张量上是二次的，并且包含伪标量（轴子）场的两个周期函数。 所构建的统一不变量和详尽的非线性理论整体上对两种对称性具有不变性：首先，与轴子场性质相关的离散对称性；其次，电磁学固有的杰克逊SO(2)型对称性。 描述流体力学流动速度四矢量的主方程子系统是在埃卡尔特粘性导热流体理论框架内构建的。 轴向扩展的非线性法拉第、高斯和安培方程由关于介质大电导率的假设补充，通常这种电导率与电场消失相关联。 我们提出了两个本质上新的非线性模型，在这些模型的框架内，异常电导率通过有限伪标量（轴子）场的适当行为得到补偿，从而使得磁流体力学流动中的电场为有限值（要么与磁场成比例，要么与介质旋转的角速度成比例）。 显示英文摘要

摘要： The new nonlinear axionically extended version of the general relativistic magnetohydrodynamics is formulated. The self-consistent formalism of this theory is based on the introduction into the Lagrangian of the new unified scalar invariant, which is quadratic in the Maxwell tensor, and contains two periodic functions of the pseudoscalar (axion) field. The constructed unified invariant and the elaborated nonlinear theory as a whole, are invariant with respect to two symmetries: first, the discrete symmetry associated with the properties of the axion field; second, the Jackson's SO(2) type symmetry intrinsic for the electromagnetism. The subsystem of the master equations, which describes the velocity four-vector of the hydrodynamic flow, is constructed in the framework of Eckart's theory of viscous heat-conducting fluid. The axionically extended nonlinear Faraday, Gauss and Ampere equations are supplemented by the ansatz about the large electric conductivity of the medium, which is usually associated with vanishing of the electric field. We have suggested two essentially new nonlinear models, in the framework of which the anomalous electric conductivity is being compensated by the appropriate behavior of the finite pseudoscalar (axion) field, providing the electric field in the magnetohydrodynamic flow to be finite (either to be proportional to the magnetic field, or to the angular velocity of the medium rotation)