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 (\(\mu _{q}\)) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find \(S_{xx}\) for a fixed \(\mu _{q}\) 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 \(\mu _{q}\) 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.

Seebeck 效应和 Nernst 效应，分别反映了沿x轴和沿y轴（\(E_{x}\)和\(E_{y}\)）由热感应引起的电场的出现。沿x轴的梯度，在沿z轴的外部磁场下在 QGP 中进行研究。我们在弛豫时间近似下使用相对论玻尔兹曼方程计算相关的塞贝克系数 ( \(S_{xx}\) ) 和能斯特信号 ( N )。在各向同性 QGP 中，磁场 ( B ) 和夸克化学势 ( \(\mu _{q}\)) 对这些热电传输系数进行了研究。在存在（不存在）弱磁场的情况下，我们发现对于固定的\(\mu _{q}\) 的\(S_{xx}\)符号为负（正），表明转换热的主要载流子电场梯度是带负（正）电的夸克。\(S_{xx}\)的绝对值随着温度的升高而减小。与\(S_{xx}\) 不同，N的符号与电荷载流子类型无关，其热行为显示出峰值结构。在强磁场存在下，由于（反）夸克垂直于磁场的横向运动的朗道量子化，只有纵向塞贝克系数（\(S_{zz}\) ) 存在。我们的结果表明，在最低朗道水平 (LLL) 近似值中，固定\(\mu _{q}\)处的\(S_{zz}\ ) 值始终保持正值。在高朗道能级的影响下，\(S_{zz}\)表现出类似于 LLL 近似中的热结构。随着朗道能级进一步增加，\(S_{zz}\)减小，甚至其符号从正变为负。这些热电传输系数的计算也扩展到具有由初始空间膨胀和强磁场引起的动量各向异性的介质。