Fluidity of the system produced in relativistic pp and heavy-ion collisions: Hadron resonance gas model approach

Abstract

We have estimated the dimensionless parameters such as Reynolds number ($Re$), Knudsen number ($Kn$) and Mach number ($Ma$) for a multi-hadron system by using the excluded volume hadron resonance gas (EVHRG) model along with Hagedorn mass spectrum to include higher resonances in the system. The size dependence of these parameters indicate that the system formed in proton+proton collisions may achieve thermal equilibrium making it unsuitable as a benchmark to analyze the properties of the system produced in heavy ion collisions at similar energies. While the magnitude of $Kn$ can be used to study the degree of thermalization and applicability of inviscid hydrodynamics, the variations of $Re$ and $Ma$ with temperature ($T$) and baryonic chemical potential (${\mu }_B$) assist to understand the change in the nature of the flow in the system. Indeed the nature of flow changes from laminar to turbulent as $Re$ increases and the system is characterized as incompressible for low $Ma(<<1)$ and compressible for larger $Ma$. $Ma$ can also be used to understand whether the flow is subsonic or supersonic.

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References in corpus (11)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Relativistic hydrodynamics for heavy-ion collisions
• The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
• Hadron Resonance Gas Equation of State from Lattice QCD
• Thermodynamics and fluctuations of conserved charges in Hadron Resonance Gas model in finite volume
• Exploring theoretical uncertainties in the hydrodynamic description of relativistic heavy-ion collisions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Particle production and chemical freezeout from the hybrid UrQMD approach at NICA energies
• Disappearance of the Mach Cone in heavy ion collisions
• Thermalization in small system of hadron gas and high-multiplicity pp events
• Mach Cones in Viscous Matter

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• Finite $V_{2\Delta }$ puzzle in low-multiplicity pp collisions from ultra-long-range azimuthal correlations in the string-shoving model
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas
• Applicability of Hydrodynamics in Hadronic Phase of Heavy-Ion Collisions