Thermoelectric transport coefficients of quark matter

Abhishek, Aman; Das, Avimanyu; Kumar, Deepak; Mishra, Hari Niwas

doi:10.48550/arxiv.2007.14757

Cited by 3 publications

(12 citation statements)

References 94 publications

(129 reference statements)

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“…[104], the Seebeck coefficient studied in the QPM (brown dotted line) at µ q = 50 MeV also exhibits a decreasing feature with increasing temperature. The result of Abhishek et al [105] at µ = 100 MeV for the N f = 2 NJL model (the green dots) is much different with ours. In Ref.…”

Section: Diagramcontrasting

confidence: 92%

“…In Ref. [105], S is negative and its absolute value exhibits a increasing function with temperature. The reasons behind this quantitative and qualiative discrepancy are twofold: (1) the relaxation time in Ref.…”

Section: Diagrammentioning

confidence: 96%

“…We also investigate the effect of momentum anisotropy on the electrical conductivity and the thermoelectric coefficient. In the presence of an external electric field E = (E, 0, 0), the Boltzmann equation for the distribution function of quasiparticle species a can be given by [105]…”

Section: B Electrical Conductivity and Seebeck Coefficientmentioning

confidence: 99%

“…The reasons behind this quantitative and qualiative discrepancy are twofold: (1) the relaxation time in Ref. [105] is estimated by using the averaged transition rate wij while our relaxation time is obtained from the thermally averaged cross-section of elastic scattering. (the detailed comparsion of two methods can be found in Ref.…”

Section: Diagrammentioning

confidence: 99%

“…In Ref. [105], the Seebeck coefficient also has been estimated based the NJL model, where the spatial gradient of quark chemical potential is considered apart from the temperature gradient.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Zhang¹,

Xiao²,

Kang³

et al. 2021

Preprint

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The chiral phase structure, mesonic properties and transport properties in a momentum anisotropic quark matter induced by the preferential expansion of medium are phenomenologically investigated based on the two flavor Nambu-Jona-Lasinio model. The calculations of various transport coefficients have been performed using the kinetic theory in the relaxation time approximation, where the momentum anisotropy is embeded in the estimation of both distribution function and the relaxation time. Our results indicate that an increase in anisotropy parameter ξ can considerably lead to a catalysis of chiral symmetry breaking. The critical endpoint (CEP) is shifted to smaller temperatures and larger quark chemical potentials as ξ increases, and the influence of momentum anisotropy on temperature of CEP is almost the same as that on the quark chemical potential of CEP. The meson masses and the associated decay widths also significantly are affect by the variation of ξ. The temperature behavior of scaled shear viscosity η/T 3 and scaled electrical conductivity σ el /T exhibit a similar dip struture, however, their qualitative behaviors with ξ are different. Nevertheless, the minima of both η/T 3 and σ el /T shift toward higher temperatures with an increase of ξ. Furthermore, in this work the Seebeck coefficient S exhibits a decreasing function of temperature and its sign is positive, indicating the dominant carriers of converting the temperature gradient to the electric field are up quarks. With a rise in ξ the value of S has a significant enhancement for the temperature below the critical temperature.

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Section: Diagramcontrasting

confidence: 92%

Section: Diagrammentioning

confidence: 96%

Section: B Electrical Conductivity and Seebeck Coefficientmentioning

confidence: 99%

Section: Diagrammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Zhang¹,

Xiao²,

Kang³

et al. 2021

Preprint

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Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition

Soloveva,

Fuseau,

Aichelin

et al. 2020

Preprint

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We calculate two transport coefficients -the shear viscosity over entropy ratio η/s and the ratio of the electric conductivity to the temperature σ0/T -of strongly interacting quark matter within the extended N f = 3 Polyakov Nambu-Jona-Lasinio (PNJL) model along the crossover transition line for moderate values of baryon chemical potential 0 ≤ µB ≤ 0.9 GeV as well as in the vicinity of the critical endpoint (CEP) and at large baryon chemical potential µB = 1.2 GeV, where the first-order phase transition takes place. The evaluation of the transport coefficients is performed on the basis of the effective Boltzmann equation in the relaxation time approximation. We employ two different methods for the calculation of the quark relaxation times: i) using the averaged transition rate defined via thermal averaged quark-quark and quark-antiquark PNJL cross sections and ii) using the 'weighted' thermal averaged quark-quark and quark-antiquark PNJL cross sections. The η/s and σ0/T transport coefficients have a similar temperature and chemical potential behavior when approaching the chiral phase transition for the both methods for the quark relaxation time, however, the differences grow with increasing temperature. We demonstrate the effect of the first-order phase transition and of the CEP on the transport coefficients in the deconfined QCD medium.

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Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory

Kurian

2021

Preprint

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Thermoelectric transport coefficients of quark matter

Cited by 3 publications

References 94 publications

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition

Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory

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