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- W4310163721 abstract "We have studied the transport coefficients as a tool to probe the collision integral appearing in the Boltzmann transport equation. For this purpose, we have estimated the transport coefficients (momentum: ${ensuremath{eta},ensuremath{zeta}}$, heat: ${ensuremath{kappa}}$, and charge: ${{ensuremath{sigma}}_{mathrm{el}}}$) in the kinetic theory approach with the collision integrals in Bhatnagar-Gross-Krook (BGK) and relaxation-time (RT) approximations and ask whether we can distinguish between the two collision integrals. For example, $ensuremath{eta}$ gets enhanced while $ensuremath{zeta}$ gets reduced with respect to RT. As a corollary, we then investigate the interplay among the aforesaid transport coefficients, viz. fluidity and transition point of QCD medium by evaluating the ratios, $ensuremath{eta}/s$ and $ensuremath{zeta}/s$, respectively, nature of flow (Reynolds number, RI), sound attenuation (Prandtl number, Pr), and competition between the momentum and charge diffusion ($ensuremath{gamma}$), etc. as further plausible tools to decipher the same. With BGK collision integral, the ratios $ensuremath{eta}/s$ (increase) and $ensuremath{zeta}/s$ (decrease) show opposite behavior, whereas Pr, RI, $ensuremath{gamma}$, and the ratio $ensuremath{zeta}/ensuremath{eta}$ get reduced with respect to RT. We then examine how a strong magnetic field modulates the impact of the collision integral, which, in a way, explores the dimensionality dependence of the transport phenomena, especially momentum transport because the quark dynamics is effectively restricted to 1D only and only the lowest Landau levels are populated. As a result, $ensuremath{eta}$ ($ensuremath{zeta}$) gets reduced (amplified), which will have ramifications on the ratios, viz. $ensuremath{eta}/s$ ($ensuremath{zeta}/s$) becomes smaller (larger), enhancement of Pr, $ensuremath{gamma}$, and $ensuremath{zeta}/ensuremath{eta}$, etc. In this study, the thermomagnetic medium effects have been incorporated by adopting a thermodynamically consistent quasiparticle model, where the medium-generated masses of the partons have been obtained from the pole of their resummed propagators calculated using perturbative thermal QCD in strong $B$." @default.
- W4310163721 created "2022-11-30" @default.
- W4310163721 creator A5042254428 @default.
- W4310163721 creator A5079775517 @default.
- W4310163721 date "2022-11-28" @default.
- W4310163721 modified "2023-10-13" @default.
- W4310163721 title "Transport coefficients in thermal QCD: A probe to the collision integral" @default.
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