Thermodynamics of a rotating hadron resonance gas with van der Waals interaction

Abstract

Studying the thermodynamics of the systems produced in ultra-relativistic heavy-ion collisions is crucial in understanding the QCD phase diagram. Recently, a new avenue has opened regarding the implications of large initial angular momentum and subsequent vorticity in the medium evolution in high-energy collisions. This adds a new type of chemical potential into the partonic and hadronic systems, called the rotational chemical potential. We study the thermodynamics of an interacting hadronic matter under rotation, formed in an ultra-relativistic collision. We introduce attractive and repulsive interactions through the van der Waals equation of state. Thermodynamic properties like the pressure ($P$), energy density ($\epsilon$), entropy density ($s$), trace anomaly ($(\epsilon -3P)/T^4$), specific heat ($c_{\mathrm{v}}$) and squared speed of sound ($c_{\mathrm{s}}^2$) are studied as functions of temperature ($T$) for zero and finite rotation chemical potential. The conserved charge fluctuations, which can be quantified by their respective susceptibilities, are also studied. The rotational (spin) density corresponding to the rotational chemical potential is explored. In addition, we explore the possible liquid-gas phase transition in the hadron gas with van der Waals interaction in the $T$ -- $\omega$ phase space.

11 pages and 6 captioned figures. Same as the published version in EPJC

References in corpus (33)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Quantum Anomalies in Dense Matter
• Polarization probes of vorticity in heavy ion collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Shear-induced spin polarization in heavy-ion collisions
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Gluodynamics and deconfinement phase transition under rotation from holography
• The ideal relativistic spinning gas: polarization and spectra
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Chiral vortaic effect and neutron asymmetries at NICA
• Influence of relativistic rotation on the confinement/deconfinement transition in gluodynamics
• Vorticity in low-energy heavy-ion collisions
• Inhomogeneous confining-deconfining phases in rotating plasmas
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• Pion Condensation by Rotation in a Magnetic field
• Different space-time freeze-out picture -- an explanation of different $\Lambda$ and $\bar{\Lambda }$ polarization?
• Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time: lattice results for fast imaginary rotation
• The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation
• Criticality in a Hadron Resonance Gas model with the van der Waals interaction
• Negative moment of inertia and rotational instability of gluon plasma
• Conductivity, diffusivity, and violation of Wiedemann-Franz Law in a hadron resonance gas with van der Waals interactions
• Quark Deconfinement in Rotating Neutron Stars
• Multiplicity Dependence of Shear Viscosity, Isothermal Compressibility and Speed of Sound in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Impact of vorticity and viscosity on the hydrodynamic evolution of hot QCD medium
• Effect of a magnetic field on the thermodynamic properties of a high-temperature hadron resonance gas with van der Waals interactions
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• The microcanonical ensemble of the ideal relativistic quantum gas
• Characterizing Proton-Proton Collisions at the Large Hadron Collider with Thermal Properties
• Possible Formation of a Perfect Fluid in $pp$, $p$-Pb, Xe-Xe and Pb-Pb Collisions at the Large Hadron Collider Energies: A Color String Percolation Approach
• De Haas - van Alphen Effect under Rotation
• An Augmented QCD Phase Portrait: Mapping Quark-Hadron Deconfinement for Hot, Dense, Rotating Matter under Magnetic Field

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• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Thermoelectric figure of merit and the deconfinement phase transition
• Vorticity-induced modifications of chemical freeze-out in heavy-ion collisions
• Spin alignment of Quarkonia: A Possible Probe of Deconfined QCD matter in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Probing Rotational Dynamics of Quark Gluon Plasma via Global Vorticity