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Full 3+1 dimensional simulation of the relativistic Boltzmann equation
Relativistic hydrodynamics has been the tool of choice to simulate the dynamics of the quark-gluon plasma produced in heavy-ion collisions. Despite the success of hydrodynamics, it has several shortcomings stemming from the fact that it assumes a system close to equilibrium. An alternative to hydrod...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2021
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| _version_ | 1867613941275820032 |
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| access_status_str | Open Access |
| author | Grunow, Ernst William |
| author2 | Peshier, Andre |
| author_browse | Grunow, Ernst William Peshier, Andre |
| author_facet | Peshier, Andre Grunow, Ernst William |
| author_sort | Grunow, Ernst William |
| collection | Thesis |
| description | Relativistic hydrodynamics has been the tool of choice to simulate the dynamics of the quark-gluon plasma produced in heavy-ion collisions. Despite the success of hydrodynamics, it has several shortcomings stemming from the fact that it assumes a system close to equilibrium. An alternative to hydrodynamics is solving the Boltzmann equation, which describes the evolution of the full distribution function of the system without the close to equilibrium requirement. Large scale simulations using the Boltzmann equation, however, has hitherto proved computationally intractable due to their computational expense. By using a novel algorithm, and leveraging the computational power of graphical processor units, we numerically integrate the Boltzmann equation in the relaxation time approximation. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/33705 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:44:08.757Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| 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:11427/33705 Full 3+1 dimensional simulation of the relativistic Boltzmann equation Grunow, Ernst William Peshier, Andre physics Relativistic hydrodynamics has been the tool of choice to simulate the dynamics of the quark-gluon plasma produced in heavy-ion collisions. Despite the success of hydrodynamics, it has several shortcomings stemming from the fact that it assumes a system close to equilibrium. An alternative to hydrodynamics is solving the Boltzmann equation, which describes the evolution of the full distribution function of the system without the close to equilibrium requirement. Large scale simulations using the Boltzmann equation, however, has hitherto proved computationally intractable due to their computational expense. By using a novel algorithm, and leveraging the computational power of graphical processor units, we numerically integrate the Boltzmann equation in the relaxation time approximation. 2021-08-05T08:30:24Z 2021-08-05T08:30:24Z 2021 2021-08-05T08:29:48Z Master Thesis Masters MSc http://hdl.handle.net/11427/33705 eng application/pdf Department of Physics Faculty of Science |
| spellingShingle | physics Grunow, Ernst William Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| thesis_degree_str | Master's |
| title | Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| title_full | Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| title_fullStr | Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| title_full_unstemmed | Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| title_short | Full 3+1 dimensional simulation of the relativistic Boltzmann equation |
| title_sort | full 3 1 dimensional simulation of the relativistic boltzmann equation |
| topic | physics |
| url | http://hdl.handle.net/11427/33705 |
| work_keys_str_mv | AT grunowernstwilliam full31dimensionalsimulationoftherelativisticboltzmannequation |