论文标题

磁场对热和致密QCD物质的电荷和热传输特性的影响

Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter

论文作者

Rath, Shubhalaxmi, Patra, Binoy Krishna

论文摘要

我们已经研究了强磁场对有限化学势的热QCD物质的电荷和热传输特性的影响。为此,我们在放松时间近似中使用动力学理论计算了电气($σ_{\ rm el} $)和热($κ$)电导率,其中通过有限磁场和有限化学电位在Quasiparticle模型中通过Quasiparticle模型中的分布函数汇总相互作用。这项研究有助于了解强磁场和化学电位对通过$κ$的Knudsen数($ω$)对局部平衡的影响,以及通过Lorenz数字($ L $)在Wiedemann-Franz Law中通过Lorenz数字($ L $)的导热率和电导率之间的相对行为。我们已经观察到,在存在强磁场的存在下,$σ_{\ rm el} $和$κ$都会增加,而额外的化学潜力进一步增加了它们的大小,在$σ_ {\ rm el} $中显示出与同位素$ $ $ $其他相反的趋势,而趋势则与$κ相反,而$κ则越来越高,而$κ则越来越高,而$κ$κ$κ,而趋势则增加了$κ各向同性培养基。 $κ$的变化解释了随着温度的升高,纳德森数量的下降。但是,在存在强磁场和有限的化学电位的情况下,$ω$得到增强并接近统一,因此,系统可能会略微远离平衡状态。 The Lorenz number ($κ/(σ_{\rm el} T))$ in the abovementioned regime of strong magnetic field and finite chemical potential shows linear enhancement with the temperature and has smaller magnitude than the isotropic one, thus, it describes the violation of the Wiedemann-Franz law for the hot and dense QCD matter in the presence of a strong magnetic field.

We have studied the effect of strong magnetic field on the charge and thermal transport properties of hot QCD matter at finite chemical potential. For this purpose, we have calculated the electrical ($σ_{\rm el}$) and thermal ($κ$) conductivities using kinetic theory in the relaxation time approximation, where the interactions are subsumed through the distribution functions within the quasiparticle model at finite temperature, strong magnetic field and finite chemical potential. This study helps to understand the impacts of strong magnetic field and chemical potential on the local equilibrium by the Knudsen number ($Ω$) through $κ$ and on the relative behavior between thermal conductivity and electrical conductivity through the Lorenz number ($L$) in the Wiedemann-Franz law. We have observed that, both $σ_{\rm el}$ and $κ$ get increased in the presence of strong magnetic field, and the additional presence of chemical potential further increases their magnitudes, where $σ_{\rm el}$ shows decreasing trend with the temperature, opposite to its increasing behavior in the isotropic medium, whereas $κ$ increases slowly with the temperature, contrary to its fast increase in the isotropic medium. The variation in $κ$ explains the decrease of the Knudsen number with the increase of the temperature. However, in the presence of strong magnetic field and finite chemical potential, $Ω$ gets enhanced and approaches unity, thus, the system may move slightly away from the equilibrium state. The Lorenz number ($κ/(σ_{\rm el} T))$ in the abovementioned regime of strong magnetic field and finite chemical potential shows linear enhancement with the temperature and has smaller magnitude than the isotropic one, thus, it describes the violation of the Wiedemann-Franz law for the hot and dense QCD matter in the presence of a strong magnetic field.

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