# 10th Edition of the Large Hadron Collider Physics Conference

May 16 – 20, 2022
Europe/Zurich timezone

## Charge and heat transport coefficients of a hot and dense QCD matter in the presence of a weak magnetic field

May 17, 2022, 7:00 PM
1h
Theory poster Heavy Ions

### Speaker

Shubhalaxmi Rath (Indian Institute of Technology Bombay)

### Description

We have explored the effect of weak magnetic field on the transport of charge and heat in hot and dense QCD matter by calculating their response functions, such as electrical conductivity ($\sigma_{\rm el}$), Hall conductivity ($\sigma_{\rm H}$), thermal conductivity ($\kappa_0$) and Hall-type thermal conductivity ($\kappa_1$) in kinetic theory approach. The interactions among partons have been subsumed through their thermal masses. It is found that, $\sigma_{\rm el}$ and $\kappa_0$ decrease, and $\sigma_{\rm H}$ and $\kappa_1$ increase in the presence of weak magnetic field, whereas the emergence of finite chemical potential enhances these transport coefficients. The effects of weak magnetic field and finite chemical potential on aforesaid transport coefficients are more noticeable at low temperatures. On the other hand, at high temperatures, they have only a mild dependence on magnetic field and chemical potential. We have observed that the finite chemical potential further extends the lifetime of magnetic field. This study sheds light on the understanding of the effects of weak magnetic field and finite chemical potential on the local equilibrium through the Knudsen number, the elliptic flow, and the interplay between charge and heat transport coefficients through the Wiedemann-Franz law. The components of the Knudsen number in the weakly magnetized hot and dense QCD matter remain much below unity. Thus, the separation between the macroscopic and microscopic length scales is sufficient for the medium to remain in its local equilibrium state. Further, we have found that the elliptic flow gets increased due to the weak magnetic field and becomes decreased due to the finite chemical potential. Furthermore, the components of the Lorenz number are observed to be strongly affected by the finite chemical potential than by the weak magnetic field. With the increase of temperature, the components of the Lorenz number increase, thus confirming the violation of the Wiedemann-Franz law for the hot and dense QCD matter in an ambience of weak magnetic field.

### Primary author

Shubhalaxmi Rath (Indian Institute of Technology Bombay)

### Co-author

Prof. Sadhana Dash (Indian Institute of Technology Bombay)

### Presentation materials

 LargePosterLHCP_Shubhalaxmi.jpg PosterLHCP_Shubhalaxmi.pdf SmallPosterLHCP_Shubhalaxmi.jpg