Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas

TL;DR

This study investigates how finite volume and magnetic fields influence the thermodynamics of a hadron resonance gas, revealing significant effects on energy density and pressure, and magnetic properties across temperature ranges.

Contribution

It introduces a method to incorporate magnetic fields and finite size effects into the thermodynamics of a hadron resonance gas, highlighting their impact on physical properties.

Findings

Magnetic field and finite size significantly affect thermodynamic quantities.

The medium shows diamagnetism at low temperatures and paramagnetism at high temperatures.

Finite size enhances the diamagnetic behavior of the system.

Abstract

The thermodynamic properties of a non-interacting ideal Hadron Resonance Gas (HRG) of finite volume have been studied in the presence of an external magnetic field. The inclusion of background magnetic field in the calculation of thermodynamic potential is done by the modification of the dispersion relations of the charged hadrons in terms of Landau quantization. The generalized Matsubara prescription has been employed to take into account the finite size effects in which a periodic (anti-periodic) boundary conditions is considered for the mesons (baryons). We find significant effects of the magnetic field as well as system size on the temperature dependence of energy density, longitudinal and transverse pressure especially in low temperature regions. The HRG is found to exhibit diamagnetism (paramagnetism) in the low (high) temperature region whereas the finite size effect is seen to strengthen the diamagnetic behavior of the medium.