We study the behavior of a hadronic matter in the presence of an external
magnetic field within the van der Waals hadron resonance gas (VDWHRG) model,
considering both attractive and repulsive interactions among the hadrons.
Various thermodynamic quantities like pressure (P), energy density
(ε), magnetization (M), entropy density (s), squared
speed of sound (cs2​), specific heat capacity at constant volume
(cv​) are calculated as functions of temperature (T) and static finite
magnetic field (eB). We also consider the effect of baryochemical potential
(μB​) on the above-mentioned thermodynamic observables in the presence of
a magnetic field. Further, we estimate the magnetic susceptibility (χM2​), relative permeability (μr​), and electrical susceptibility
(χQ2​) which can help us to understand the system better. With
the information of μr​ and dielectric constant (ϵr​), we
enumerate the refractive index (RI) of the system under consideration.
Through this model, we quantify a liquid-gas phase transition in the
T-eB-μB​ phase space.Comment: 18 pages and 5-captioned figures. Submitted for publicatio