Effect of a magnetic field on the thermodynamic properties of a high-temperature hadron resonance gas with van der Waals interactions

Abstract

We study the behavior of a hadronic matter in the presence of an external magnetic field within the van der Waals hadron resonance gas model, considering both attractive and repulsive interactions among the hadrons. Various thermodynamic quantities like pressure (P), energy density ( µ), magnetization (M), entropy density (s), squared speed of sound (cs2), and 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. Through this model, we quantify a liquid-gas phase transition in the T-eB-μB phase space. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.