论文标题
在存在磁场的情况下，热和致密QCD物质的粘性特性
Viscous properties of hot and dense QCD matter in the presence of a magnetic field
论文作者
论文摘要
我们通过计算剪切（$η$）和散装（$ζ$）粘度来研究强磁场对有限化学电位的热QCD物质粘性特性的影响。在松弛时间近似中使用动力学理论计算粘度。相互作用是通过强磁场和有限的化学势的Parton的准粒子质量纳入的。从这项研究中，人们可以了解强磁场和化学电位对通过PrandTL数（PL），雷诺数（RL）（RL）的流量性质以及剪切粘度和散装粘度之间通过比率$ $ζ/η$之间的相对行为的影响。我们发现，在强磁场中，$η$和$ζ$增加，化学势的额外存在进一步提高了它们的幅度。随着温度的升高，$η$在强磁场以及没有磁场的情况下增加，而$ζ$随温度而降低，与没有磁场的情况相反。我们已经观察到，与各向同性相比，在存在强磁场和化学电位的情况下，PRANDTL数量增加，但始终保持大于1，因此动量扩散在很大程度上会影响培养基中的声音衰减。在强磁场中，雷诺的数量比1降低，并且在额外的化学势存在下它会进一步降低，因此运动粘度在系统的特征长度尺度上占主导地位。最后，$ζ/η$变大于1，与在没有磁场和化学电位的情况下其值小于1的值相反，因此在存在强磁场的情况下，散装粘度在剪切粘度上占据了剪切粘度。
We have studied the effect of strong magnetic field on the viscous properties of hot QCD matter at finite chemical potential by calculating the shear ($η$) and bulk ($ζ$) viscosities. The viscosities are calculated using kinetic theory in the relaxation time approximation. The interactions are incorporated through the quasiparticle masses of partons at strong magnetic field and finite chemical potential. From this study, one can understand the effects of strong magnetic field and chemical potential on the sound attenuation through the Prandtl number (Pl), on the nature of the flow by the Reynolds number (Rl), and on the relative behavior between shear viscosity and bulk viscosity through the ratio $ζ/η$. We have found that, $η$ and $ζ$ get increased in a strong magnetic field and the additional presence of chemical potential further enhances their magnitudes. With the increase of temperature, $η$ increases in a strong magnetic field as well as in the absence of magnetic field, whereas $ζ$ decreases with the temperature, contrary to its increase in the absence of magnetic field. We have observed that, the Prandtl number gets increased in the presence of strong magnetic field and chemical potential as compared to the isotropic one, but it always remains larger than 1, thus the momentum diffusion largely affects the sound attenuation in the medium. The Reynolds number gets lowered than 1 in a strong magnetic field and it becomes further decreased in an additional presence of chemical potential, so the kinematic viscosity dominates over the characteristic length scale of the system. Finally, $ζ/η$ becomes larger than 1, contrary to its value in the absence of magnetic field and chemical potential where it is less than 1, so the bulk viscosity prevails over the shear viscosity for the hot and dense QCD matter in the presence of a strong magnetic field.
