论文标题
稳定的磁流失动力学因果模型
A stable and causal model of magnetohydrodynamics
论文作者
论文摘要
我们在均衡性不变性和离散电荷对称性的假设下，在任意流体动力框架中制定了在任意流体动力框架中的一阶耗散磁流失动力学的理论。我们研究了Alfvén和磁波的模式光谱以及散发激发的光谱，并在传输系数上得出约束，以使具有恒定磁场的通用平衡状态稳定且因果关系不足。我们解决了特定状态方程的这些约束，并表明存在一个大型流体动力框架，从而使线性波动稳定和因果关系。该理论不需要引入新的动力学自由度，因此是Müller-Israel-Stewart-Stewart-type理论的有前途，更简单的替代方法。再加上对此处提出的传输，熵产生和久保公式的详细分析，非常适合研究从重型离子碰撞到天体物理学的各种情况下的耗散效应。
We formulate the theory of first-order dissipative magnetohydrodynamics in an arbitrary hydrodynamic frame under the assumption of parity-invariance and discrete charge symmetry. We study the mode spectrum of Alfvén and magnetosonic waves as well as the spectrum of gapped excitations and derive constraints on the transport coefficients such that generic equilibrium states with constant magnetic fields are stable and causal under linearised perturbations. We solve these constraints for a specific equation of state and show that there exists a large family of hydrodynamic frames that renders the linear fluctuations stable and causal. This theory does not require introducing new dynamical degrees of freedom and therefore is a promising and simpler alternative to Müller-Israel-Stewart-type theories. Together with a detailed analysis of transport, entropy production and Kubo formulae, the theory presented here is well suited for studying dissipative effects in various contexts ranging from heavy-ion collisions to astrophysics.
