Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter

Bhatt, Jitesh R.; Das, Arpan; Mishra, Hari Niwas

doi:10.1103/physrevd.99.014015

Cited by 29 publications

(23 citation statements)

References 108 publications

(104 reference statements)

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“…It's worth noting that our results are close to the results in Ref. [61], where the values of S x x for the QGP at the vanishing magnetic field for μ B = 0.05 GeV lie in the regime of 0 < S x x < 0.005 under the same temperature region. At the nonzero (zero) magnetic field, the sign of S x x in the QGP is negative (positive), which is consistent with the sign of α x x .…”

Section: Numerical Results and Discussionsupporting

confidence: 89%

“…In condensed matter physics, the Seebeck effect and the Nernst effect have been studied in various solid state matters, such as semiconductors [54], Bismuth [55], graphene [56][57][58] and Weyl semimetal [59,60]. The Seebeck coefficient and the Nernst coefficient have also been estimated in hot and dense hadronic matter at zero magnetic field [61] as well as at nonzero magnetic field [62]. The Nernst effect in a strongly correlated system at finite magnetic field has also been studied by the gauge gravity duality [63].…”

Section: Introductionmentioning

confidence: 99%

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

2021

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The Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis ($$E_{x}$$ E x and $$E_{y}$$ 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 ($$S_{xx}$$ 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 ($$\mu _{q}$$ μ q ) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find $$S_{xx}$$ S xx for a fixed $$\mu _{q}$$ 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 $$S_{xx}$$ S xx decreases with increasing temperature. Unlike $$S_{xx}$$ 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 ($$S_{zz}$$ S zz ) exists. Our results show that the value of $$S_{zz}$$ S zz at a fixed $$\mu _{q}$$ μ q in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, $$S_{zz}$$ S zz exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, $$S_{zz}$$ 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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Section: Numerical Results and Discussionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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

2021

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“…In the presence of such a condensate, there exists an additional effective force term (see Eq. ( 3)) which is not present otherwise [73,74]. Therefore the formalism presented here should not be considered to be the same as the formalism presented in Refs.…”

Section: Boltzmann Equation In Relaxation Time Approximation and Transport Coefficientsmentioning

confidence: 99%

“…On the other hand, the formalism of thermoelectric transport coefficients as presented in Refs. [73,74] do not include the effect of any dynamical condensate. Note that the formalism to calculate transport coefficients using the Boltzmann equation is fundamentally different in the presence of a dynamical condensate.…”

Section: Boltzmann Equation In Relaxation Time Approximation and Transport Coefficientsmentioning

confidence: 99%

“…Seebeck effect in the hadronic matter has been investigated previously by some of us within the framework of the Hadron resonance gas model [73,74]. However, the Hadron resonance gas model can only describe the hadronic medium at chemical freezeout whereas one expects deconfined partonic medium at the early stages of the heavy-ion collisions.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelectric transport coefficients of quark matter

et al. 2022

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A thermal gradient and/or a chemical potential gradient in a conducting medium can lead to an electric field, an effect known as thermoelectric effect or Seebeck effect. In the context of heavy-ion collisions, we estimate the thermoelectric transport coefficients for quark matter within the ambit of the Nambu–Jona Lasinio (NJL) model. We estimate the thermal conductivity, electrical conductivity, and the Seebeck coefficient of hot and dense quark matter. These coefficients are calculated using the relativistic Boltzmann transport equation within relaxation time approximation. The relaxation times for the quarks are estimated from the quark–quark and quark–antiquark scattering through meson exchange within the NJL model. As a comparison to the NJL model estimation of the Seebeck coefficient, we also estimate the Seebeck coefficient within a quasiparticle approach.

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