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

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 $μ_{B}$. We calculate various thermodynamic observables at $μ_{B}=0$ 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 ($η$), scaled thermal ($λ/T^{2}$) and electrical ($σ_{el}/T$ conductivities in IHRG model at different $μ_{B}$, by utilizing quasi-particle kinetic theory with relaxation time approximation.