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Boltzmann equation studies of the off-equilibrium QCD phenomena
Much of the evolution of the quark-gluon plasma (QGP) produced in heavy-ion collisions can be modeled by relativistic (viscous) hydrodynamics, which assumes that the partons are sufficiently close to equilibrium. We would like to explore the dynamics of QGP, even before this (quasi) equilibrium stag...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2016
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| _version_ | 1867613145772589056 |
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| access_status_str | Open Access |
| author | Viljoen, Brandon |
| author2 | Peshier, André |
| author_browse | Peshier, André Viljoen, Brandon |
| author_facet | Peshier, André Viljoen, Brandon |
| author_sort | Viljoen, Brandon |
| collection | Thesis |
| description | Much of the evolution of the quark-gluon plasma (QGP) produced in heavy-ion collisions can be modeled by relativistic (viscous) hydrodynamics, which assumes that the partons are sufficiently close to equilibrium. We would like to explore the dynamics of QGP, even before this (quasi) equilibrium stage is reached. To that end, a useful tool from the stage where we can assume the partons to be on-shell is the relativistic Boltzmann equation. We develop parallel code to solve the relativistic Boltzmann equation in the relaxation time approximation in 3 + 1 dimensions (without simplifying assumptions on possible symmetries of the dynamics). Our approach, solving for the distribution function, will allow us to obtain detailed information about the dynamics of heavy ion collisions beyond hydrodynamics, which specify only bulk properties of the medium. Following recent work, we also explore the possibility of forming a transient Bose-Einstein condensate in a dense system of gluons, such as those found in the early stage of a heavy ion collision. For simplicity, we focus here on purely gluonic systems (without quark degrees of freedom). We first use our code to describe a system undergoing 0 + 1 longitudinal Bjorken expansion, after which we present some first numerical results for a system in the full 3 + 1 dynamics. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/20971 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:30.019Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Physics |
| publisherStr | Department of Physics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/20971 Boltzmann equation studies of the off-equilibrium QCD phenomena Viljoen, Brandon Peshier, André Physics Much of the evolution of the quark-gluon plasma (QGP) produced in heavy-ion collisions can be modeled by relativistic (viscous) hydrodynamics, which assumes that the partons are sufficiently close to equilibrium. We would like to explore the dynamics of QGP, even before this (quasi) equilibrium stage is reached. To that end, a useful tool from the stage where we can assume the partons to be on-shell is the relativistic Boltzmann equation. We develop parallel code to solve the relativistic Boltzmann equation in the relaxation time approximation in 3 + 1 dimensions (without simplifying assumptions on possible symmetries of the dynamics). Our approach, solving for the distribution function, will allow us to obtain detailed information about the dynamics of heavy ion collisions beyond hydrodynamics, which specify only bulk properties of the medium. Following recent work, we also explore the possibility of forming a transient Bose-Einstein condensate in a dense system of gluons, such as those found in the early stage of a heavy ion collision. For simplicity, we focus here on purely gluonic systems (without quark degrees of freedom). We first use our code to describe a system undergoing 0 + 1 longitudinal Bjorken expansion, after which we present some first numerical results for a system in the full 3 + 1 dynamics. 2016-07-28T12:23:35Z 2016-07-28T12:23:35Z 2016 Master Thesis Masters MSc http://hdl.handle.net/11427/20971 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Viljoen, Brandon Boltzmann equation studies of the off-equilibrium QCD phenomena |
| thesis_degree_str | Master's |
| title | Boltzmann equation studies of the off-equilibrium QCD phenomena |
| title_full | Boltzmann equation studies of the off-equilibrium QCD phenomena |
| title_fullStr | Boltzmann equation studies of the off-equilibrium QCD phenomena |
| title_full_unstemmed | Boltzmann equation studies of the off-equilibrium QCD phenomena |
| title_short | Boltzmann equation studies of the off-equilibrium QCD phenomena |
| title_sort | boltzmann equation studies of the off equilibrium qcd phenomena |
| topic | Physics |
| url | http://hdl.handle.net/11427/20971 |
| work_keys_str_mv | AT viljoenbrandon boltzmannequationstudiesoftheoffequilibriumqcdphenomena |