极端相对论域中的反常磁流体动力学
Anomalous magnetohydrodynamics in the extreme relativistic domain
摘要：
异常磁流体动力学的演化方程推导出极端相对论制度，并与Lichnerowicz开创的在没有异常电流的情况下的磁流体非线性的治疗形成对比。特别是，我们探索的情况下，传统的矢量电流的补充所产生的轴向矢量电流的伪南武-戈德斯通玻色子的自发破缺对称性或因为有限的费米子密度效应。一般协变方程的电导率的逆幂展开后，磁扩散率方程的相对论模拟的涡流和磁电流的存在下推导出来。虽然异常的贡献一般被抑制的扩散率，他们被证明是消失在完美的导电极限。当流动是无旋的，助推不变的和消失的四加速度相应的演化方程显式集成，使各种物理制度可以直接验证。
英文摘要：
The evolution equations of anomalous magnetohydrodynamics are derived in the extreme relativistic regime and contrasted with the treatment of hydromagnetic nonlinearities pioneered by Lichnerowicz in the absence of anomalous currents. In particular we explore the situation where the conventional vector currents are complemented by the axial-vector currents arising either from the pseudo Nambu-Goldstone bosons of a spontaneously broken symmetry or because of finite fermionic density effects. After expanding the generally covariant equations in inverse powers of the conductivity, the relativistic analog of the magnetic diffusivity equation is derived in the presence of vortical and magnetic currents. While the anomalous contributions are generally suppressed by the diffusivity, they are shown to disappear in the perfectly conducting limit. When the flow is irrotational, boost-invariant and with vanishing four-acceleration the corresponding evolution equations are explicitly integrated so that the various physical regimes can be directly verified.
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