Anomalous magnetohydrodynamics with constant anisotropic electric conductivities

Relativistic magnetohydrodynamics

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading order in derivatives, including electrical conductivities, viscosities, and thermodynamic coefficients. We find the constraints on transport coefficients due to the positivity of entropy production, and derive the corresponding Kubo formulas. For the neutral state in a magnetic field, small fluctuations include Alfven waves, magnetosonic waves, and the dissipat…

Conductivities of magnetic quark-gluon plasma at strong coupling

In the presence of a strong magnetic field, the quark gluon plasma is magnetized, leading to anisotropic transport coefficients. In this work, we focus on the effect of magnetization on electric conductivity, ignoring the possible contribution from the axial anomaly. We generalize longitudinal and transverse conductivities to finite frequencies. For transverse conductivity, a separation of contribution from fluid velocity is needed. We study the dependence of the conductivities on the magnetic field and frequency using a holographic magnetic brane model. The longitudinal conductivity scales ro…

来自 Boltzmann-Vlasov 方程的高阶耗散各向异性磁流体力学

Higher-order dissipative anisotropic magnetohydrodynamics from the Boltzmann-Vlasov equation

本文将矩方法应用于相对论 Boltzmann-Vlasov 方程推导任意张量秩不可约矩运动方程，通过系统截断与闭合，分别导出了高阶耗散电阻性磁流体力学理论及一种动量各向异性独立于外磁场的新颖耗散电阻性各向异性磁流体力学理论。

自旋磁流体动力学中的各向异性线性波与动量展开的失效

Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics

本文构建自旋磁流体动力学框架，通过线性模式分析揭示小动量展开在临界角失效，并提出替代级数解，同时探讨弛豫动力学对一阶解的影响。

Anomalous Magnetohydrodynamics

Anomalous symmetries induce currents which can be parallel rather than orthogonal to the hypermagnetic field. Building on the analogy with charged liquids at high magnetic Reynolds numbers, the persistence of anomalous currents is scrutinized for parametrically large conductivities when the plasma approximation is accurate. Different examples in globally neutral systems suggest that the magnetic configurations minimizing the energy density with the constraint that the helicity be conserved coincide, in the perfectly conducting limit, with the ones obtainable in ideal magnetohydrodynamics where…

强磁化相对论性物质中的各向异性电荷输运

Anisotropic charge transport in strongly magnetized relativistic matter

本文利用Kubo线性响应理论和朗道能级表象推导强磁化等离子体的横向与纵向电导率，揭示强磁场抑制横向导电、增强纵向导电的各向异性机制，并进一步分析了温度、化学势及强耦合夸克-胶子等离子体中耦合常数的影响。