Access Type
Open Access Dissertation
Date of Award
January 2023
Degree Type
Dissertation
Degree Name
Ph.D.
Department
Physics and Astronomy
First Advisor
Chun Shen
Abstract
The primary goal is to enhance a theoretical tool for studying 3D dynamics in relativistic heavy-ion collisions. We aim to explore the effects of stochastic fluctuations within these systems as part of the Beam Energy Scan program at the Relativistic Heavy-Ion Collider. Our approach involves constructing 3D initial conditions using minimal model parameters based on Glauber collision geometry, energy, and momentum conservation principles. We validate the model by comparing its predictions on particle rapidity distributions and anisotropic flow coefficients in specific collision scenarios. Model parameters are calibrated by comparing predictions to observed data from central Au+Au collisions. Additionally, we extend our simulations to include Pb+Pb collisions at Super Proton Synchrotron energies. This research advances the development of a theoretical framework focusing on the propagation of two-point correlation functions associated with stochastic fluctuations and their out-of-equilibrium signatures near a Quantum Chromodynamics critical point.In this study, we proceed a comprehensive examination of the polarization observable of $\Lambda$ hyperons using a systematic event-by-event approach based on (3+1)D relativistic hydrodynamics. We specifically investigate the impact of initial hot spot size and QGP's specific shear viscosity on the polarization observable. Furthermore, we research the influence of the two formulations of the thermal shear tensor on the polarization observables, employing the same hydrodynamic background. Using event-by-event simulations, we generate predictions for the Fourier coefficients of $\Lambda$'s longitudinal polarization $P^z$ relative to the event planes associated with various orders of anisotropic flow also, for the charged hadrons too.We exhibit a system size scan with Au+Au, Ru+Ru, and O+O collisions at $\sqrt{s_\mathrm{NN}} = 200$\,GeV to study the system size dependence of polarization observables at the Relativistic Heavy-ion Collider.We developed the two-point function (variance) of thermal and critical fluctuations in relativistic heavy-ion collisions by solving the evolution equation for $C_{\hat{s}\hat{s}}(Q)$. We compare the out-of-equilibrium evolution of the fluctuation with different critical models in (1+1)D Bjorken background for three different critical models that are model A, B, and H. We have developed a theoretical framework that can follow the out-equilibrium evolution of the two-point correlation functions in the presence of critical points in full 3D. We calculate and compare the out-of-equilibrium correction to entropy ratio $\Delta s/s_{eq}$ for Au+Au collision 19.6 GeV and 7.7 GeV.
Recommended Citation
Alzhrani, Sahr, "A Theoretical Framework For 3+1d Dynamics Of Relativistic Heavy-Ion Collisions" (2023). Wayne State University Dissertations. 3938.
https://digitalcommons.wayne.edu/oa_dissertations/3938
