论文标题
具有温度依赖的电导率和全局极化的异常磁性水力动力学
Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
论文作者
论文摘要
在温度或能量密度依赖的电导率的情况下，我们衍生了具有纵向Bjorken的相对论异常磁流体动力学的解和横向电磁场。我们考虑在高温极限或高性化学势极限下的状态方程。在初始电磁场和Bjorken流速速度的配置中，我们获得了\ HBAR和数值解决方案顺序的扰动分析解决方案。我们的结果表明，温度或能量密度依赖性电导率对于能量密度和电磁场的衰减起着重要作用。我们还将结果实施，以分裂由磁场引起的λ和\barλ超数。我们对全局极化分裂的结果不同意低能碰撞中的实验数据，这意味着化学势梯度的贡献可能会在低能碰撞中占主导地位。
We have derived the solutions of the relativistic anomalous magnetohydrodynamics with longitudinal Bjorken boost invariance and transverse electromagnetic fields in the presence of temperature or energy density dependent electric conductivity. We consider the equations of states in a high temperature limit or in a high chiral chemical potential limit. We obtain both perturbative analytic solutions up to the order of \hbar and numerical solutions in our configurations of initial electromagnetic fields and Bjorken flow velocity. Our results show that the temperature or energy density dependent electric conductivity plays an important role to the decaying of the energy density and electromagnetic fields. We also implement our results to the splitting of global polarization for Λand \barΛ hyperons induced by the magnetic fields. Our results for the splitting of global polarization disagree with the experimental data in low energy collisions, which implies that the contribution from gradient of chemical potential may dominate in the low energy collisions.
