# In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas

## TL;DR

This paper extends the van der Waals hadron resonance gas model to include in-medium hadron mass modifications, improving agreement with lattice data and analyzing effects on thermodynamics and transport coefficients across different baryon chemical potentials.

## Contribution

It introduces the TVDWHRG model incorporating in-medium mass modifications based on the PLSM and scaling rules, providing a more accurate description of thermodynamics and transport properties.

## Key findings

- Enhanced agreement with lattice data in the crossover region.
- In-medium mass modifications significantly affect transport coefficients.
- VDW interactions influence shear viscosity and conductivities.

## Abstract

An extension of the van der Waals hadron resonance gas (VDWHRG) model which includes in-medium thermal modification of hadron masses, the TVDWHRG model, is considered in this paper. Based on the 2+1 flavor Polyakov Linear Sigma Model(PLSM) and the scaling mass rule for hadrons we obtain the temperature behavior of all hadron masses for different fixed baryon chemical potentials $\mu_{B}$. We calculate various thermodynamic observables at $\mu_{B}=0$ GeV in TVDWHRG model. An improved agreement with the lattice data by TVDWHRG model in the crossover region ($T\sim 0.16-0.19$ GeV) is observed as compared to those by VDWHRG and Ideal HRG (IHRG) models. We further discuss the effects of in-medium modification of hadron masses and VDW interactions on the transport coefficients such as shear viscosity ($\eta$), scaled thermal ($\lambda/T^{2}$) and electrical ($\sigma_{el}/T$ conductivities in IHRG model at different $\mu_{B}$, by utilizing quasi-particle kinetic theory with relaxation time approximation.