论文标题

(an-)各向同性QGP在磁场中的热电特性

Thermoelectric properties of (an-)isotropic QGP in magnetic fields

论文作者

Zhang, He-Xia, Kang, Jin-Wen, Zhang, Ben-Wei

论文摘要

Seebeck效果和Nernst效果,反映了$ x $轴的电场的外观以及$ y $ -Axis($ e_ {x} $和$ e_ {y {y} $),这是由$ x $ -Axis沿$ x $ -Axis沿$ z $ z $ axaxis的外部磁场中的QGP研究的。我们使用相对论的Boltzmann方程计算关联的Seebeck系数($ S_ {XX} $)和Nernst Signal($ n $)。在各向同性QGP中,研究了这些热电传输系数的磁场($ b $)和夸克化学电位($μ_{q} $)的影响。在弱磁场的存在(不存在)的情况下,我们发现固定的$μ__{q} $的$ s_ {xx} $在符号中为负(正),表明将热梯度转换为电场的主要载体是负(积极的)带电的夸克。 $ s_ {xx} $的绝对值随温度升高而降低。与$ s_ {xx} $不同,$ n $的符号独立于电荷载体类型,其热行为显示峰结构。在存在强磁场的情况下,由于垂直于磁场的(反)夸克的横向运动量化,仅存在纵向塞贝克系数($ s_ {ZZ} $)。我们的结果表明,在最低的Landau级别(LLL)近似值始终保持正值,$ s_ {zz} $的$ s_ {zz} $的值始终为$μ_{q} $。在高Landau级别的效果中,$ S_ {Zz} $表现出与LLL近似相似的热结构。随着Landau级别的进一步增加,$ s_ {zz} $减小,甚至其符号从正变为负。这些热电传输系数的计算也被扩展到具有初始空间膨胀以及强磁场引起的动量 - 触觉的培养基。

The Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along $x$-axis and along $y$-axis ($E_{x}$ and $E_{y}$), respectively, induced by the thermal gradient along $x$-axis, are studied in the QGP at an external magnetic field along $z$-axis. We calculate the associated Seebeck coefficient ($S_{xx}$) and Nernst signal ($N$) using the relativistic Boltzmann equation under the relaxation time approximation. In an isotropic QGP, the influences of magnetic field ($B$) and quark chemical potential ($μ_{q}$) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find $S_{xx}$ for a fixed $μ_{q}$ is negative (positive) in sign, indicating that the dominant carriers for converting heat gradient to electric field are negatively (positively) charged quarks. The absolute value of $S_{xx}$ decreases with increasing temperature. Unlike $S_{xx}$, the sign of $N$ is independent of charge carrier type, and its thermal behavior displays a peak structure. In the presence of strong magnetic field, due to the Landau quantization of transverse motion of (anti-)quarks perpendicular to magnetic field, only the longitudinal Seebeck coefficient ($S_{zz}$) exists. Our results show that the value of $S_{zz}$ at a fixed $μ_{q}$ in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, $S_{zz}$ exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, $S_{zz}$ decreases and even its sign changes from positive to negative. The computations of these thermoelectric transport coefficients are also extended to a medium with momentum-anisotropy induced by initial spatial expansion as well as strong magnetic field.

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