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Bose-Einstein condensation from a gluon transport equation
In this thesis we investigate the evolution of the quark gluon plasma, as produced in the early stages of a relativistic heavy ion collision, towards equilibrium. To this end we put forward a new numerical scheme to solve the QCD Boltzmann equation in the small-scattering angle approximation, which...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2019
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| _version_ | 1867613334842376192 |
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| access_status_str | Open Access |
| author | Harrison, Brent |
| author2 | Peshier, Andre |
| author_browse | Harrison, Brent Peshier, Andre |
| author_facet | Peshier, Andre Harrison, Brent |
| author_sort | Harrison, Brent |
| collection | Thesis |
| description | In this thesis we investigate the evolution of the quark gluon plasma, as produced in the early stages of a relativistic heavy ion collision, towards equilibrium. To this end we put forward a new numerical scheme to solve the QCD Boltzmann equation in the small-scattering angle approximation, which we develop here for the quenched limit of QCD. We initially restrict our analysis to spatially homogeneous systems of gluons distributed isotropically in momentum space. With our scheme we confirm results of Blaizot et al. [1], in particular that for certain “overpopulated” initial conditions, a transient Bose-Einstein condensate emerges during equilibriation in a finite time. We further analyse the dynamics of the formation of this condensate. We then extend our scheme to systems with cylindrically symmetric momentum distributions, in order to investigate the effects of anisotropy. In particular we compare the rates at which isotropization and equilibriation occur. We also compare our results from the small-scattering angle scheme to the relaxation-time approximation. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/29494 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:28.941Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| 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:11427/29494 Bose-Einstein condensation from a gluon transport equation Harrison, Brent Peshier, Andre Physics In this thesis we investigate the evolution of the quark gluon plasma, as produced in the early stages of a relativistic heavy ion collision, towards equilibrium. To this end we put forward a new numerical scheme to solve the QCD Boltzmann equation in the small-scattering angle approximation, which we develop here for the quenched limit of QCD. We initially restrict our analysis to spatially homogeneous systems of gluons distributed isotropically in momentum space. With our scheme we confirm results of Blaizot et al. [1], in particular that for certain “overpopulated” initial conditions, a transient Bose-Einstein condensate emerges during equilibriation in a finite time. We further analyse the dynamics of the formation of this condensate. We then extend our scheme to systems with cylindrically symmetric momentum distributions, in order to investigate the effects of anisotropy. In particular we compare the rates at which isotropization and equilibriation occur. We also compare our results from the small-scattering angle scheme to the relaxation-time approximation. 2019-02-11T13:52:45Z 2019-02-11T13:52:45Z 2018 2019-02-11T08:21:14Z Master Thesis Masters MSc http://hdl.handle.net/11427/29494 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Harrison, Brent Bose-Einstein condensation from a gluon transport equation |
| thesis_degree_str | Master's |
| title | Bose-Einstein condensation from a gluon transport equation |
| title_full | Bose-Einstein condensation from a gluon transport equation |
| title_fullStr | Bose-Einstein condensation from a gluon transport equation |
| title_full_unstemmed | Bose-Einstein condensation from a gluon transport equation |
| title_short | Bose-Einstein condensation from a gluon transport equation |
| title_sort | bose einstein condensation from a gluon transport equation |
| topic | Physics |
| url | http://hdl.handle.net/11427/29494 |
| work_keys_str_mv | AT harrisonbrent boseeinsteincondensationfromagluontransportequation |