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Thermoelectric response of a weakly magnetized thermal QCD medium
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-21 , DOI: 10.1103/physrevd.104.076021
Debarshi Dey , Binoy Krishna Patra

We estimate the thermoelectric response, namely, the Seebeck and Nernst coefficients of a hot and deconfined plasma of quarks and gluons, created post ultrarelativistic heavy ion collisions in the presence of a weak, homogeneous background magnetic field. We employ the kinetic theory framework, wherein we use the relativistic Boltzmann transport equation in the relaxation time approximation. In-medium interactions are taken into account via the quasiparticle masses of the partons extracted from one loop perturbative thermal QCD. We calculate the individual and total Seebeck coefficients in 2 different approaches (1-D and 2-D formulations). In the 1-D analysis, we find that a larger current quark mass has an amplifying effect on the individual Seebeck coefficient in the presence of a weak magnetic field. The temperature sensitivities of the individual Seebeck coefficients increase with increase in the current mass of the quark species in the case of a weak magnetic field whereas the same records a decreasing trend in the presence of a strong magnetic field. The variation of individual and total Seebeck coefficients with temperature, chemical potential and background magnetic field are found to follow similar trends in both the approaches, viz. decrease in magnitude with increasing temperature and increase in magnitude with increase in chemical potential and magnetic field. We also calculate the individual and total Nernst coefficients (in 2-D formulation) which are found to decrease with both temperature and chemical potential and increase with the magnetic field. Further, we find that the sign of the Nernst coefficient is independent of the electric charge of the charge carrier of the medium.

中文翻译:

弱磁化热 QCD 介质的热电响应

我们估计了热电响应,即在存在弱均匀背景磁场的情况下产生超相对论重离子碰撞后的夸克和胶子的热和去约束等离子体的塞贝克和能斯特系数。我们采用动力学理论框架,其中我们在弛豫时间近似中使用相对论玻尔兹曼输运方程。通过从一个回路微扰热 QCD 中提取的部分子的准粒子质量考虑了介质中的相互作用。我们以两种不同的方法(一维和二维公式)计算个体和总塞贝克系数。在一维分析中,我们发现在弱磁场存在的情况下,较大的电流夸克质量对个体塞贝克系数有放大作用。在弱磁场的情况下,个体塞贝克系数的温度敏感性随着夸克物质当前质量的增加而增加,而在强磁场的情况下,温度敏感性呈下降趋势。发现个体和总塞贝克系数随温度、化学势和背景磁场的变化在两种方法中遵循相似的趋势,即。量值随温度升高而减小,量值随化学势和磁场的增加而增加。我们还计算了单个和总 Nernst 系数(在 2-D 公式中),发现它们随温度和化学势而减小并随磁场增大。更远,
更新日期:2021-10-22
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