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Thermoelectric properties of the (an-)isotropic QGP in magnetic fields
Ist Teil von
The European physical journal. C, Particles and fields, 2021-07, Vol.81 (7), p.1-19, Article 623
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2021
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
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.