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Thermoelectric properties of the (an-)isotropic QGP in magnetic fields
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Journal Article
Thermoelectric properties of the (an-)isotropic QGP in magnetic fields
2021
Overview
The Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis (Ex and Ey), 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 (Sxx) 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 (μq) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find Sxx for a fixed μq 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 Sxx decreases with increasing temperature. Unlike Sxx, 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 (Szz) exists. Our results show that the value of Szz at a fixed μq in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, Szz exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, Szz 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.
Publisher
Springer Nature B.V
Subject
