Bose-Einstein Condensation from the QCD Boltzmann Equation
We present a novel numerical scheme to solve the QCD Boltzmann equation in the soft scattering approximation, for the quenched limit of QCD. Using this we can readily investigate the evolution of spatially homogeneous systems of gluons distributed isotropically in momentum space. We numerically conf...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Particles |
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| Online Access: | https://www.mdpi.com/2571-712X/2/2/16 |
| _version_ | 1818138532493918208 |
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| author | Brent Harrison Andre Peshier |
| author_facet | Brent Harrison Andre Peshier |
| author_sort | Brent Harrison |
| collection | DOAJ |
| description | We present a novel numerical scheme to solve the QCD Boltzmann equation in the soft scattering approximation, for the quenched limit of QCD. Using this we can readily investigate the evolution of spatially homogeneous systems of gluons distributed isotropically in momentum space. We numerically confirm that for so-called “overpopulated„ initial conditions, a (transient) Bose-Einstein condensate could emerge in a finite time. Going beyond existing results, we analyze the formation dynamics of this condensate. The scheme is extended 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 equilibration occur. We also compare our results from the soft scattering scheme to the relaxation time approximation. |
| first_indexed | 2024-12-11T10:13:42Z |
| format | Article |
| id | doaj.art-c6353b1cb465427fa25edd59595fafb3 |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-12-11T10:13:42Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-c6353b1cb465427fa25edd59595fafb32022-12-22T01:11:41ZengMDPI AGParticles2571-712X2019-04-012223124110.3390/particles2020016particles2020016Bose-Einstein Condensation from the QCD Boltzmann EquationBrent Harrison0Andre Peshier1Department of Physics, University of Cape Town, Cape Town 7700, South AfricaDepartment of Physics, University of Cape Town, Cape Town 7700, South AfricaWe present a novel numerical scheme to solve the QCD Boltzmann equation in the soft scattering approximation, for the quenched limit of QCD. Using this we can readily investigate the evolution of spatially homogeneous systems of gluons distributed isotropically in momentum space. We numerically confirm that for so-called “overpopulated„ initial conditions, a (transient) Bose-Einstein condensate could emerge in a finite time. Going beyond existing results, we analyze the formation dynamics of this condensate. The scheme is extended 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 equilibration occur. We also compare our results from the soft scattering scheme to the relaxation time approximation.https://www.mdpi.com/2571-712X/2/2/16QCDBoltzmann equationgluonsBose-Einstein condensateFokker-Planck equationrelaxation time approximationthermalization |
| spellingShingle | Brent Harrison Andre Peshier Bose-Einstein Condensation from the QCD Boltzmann Equation Particles QCD Boltzmann equation gluons Bose-Einstein condensate Fokker-Planck equation relaxation time approximation thermalization |
| title | Bose-Einstein Condensation from the QCD Boltzmann Equation |
| title_full | Bose-Einstein Condensation from the QCD Boltzmann Equation |
| title_fullStr | Bose-Einstein Condensation from the QCD Boltzmann Equation |
| title_full_unstemmed | Bose-Einstein Condensation from the QCD Boltzmann Equation |
| title_short | Bose-Einstein Condensation from the QCD Boltzmann Equation |
| title_sort | bose einstein condensation from the qcd boltzmann equation |
| topic | QCD Boltzmann equation gluons Bose-Einstein condensate Fokker-Planck equation relaxation time approximation thermalization |
| url | https://www.mdpi.com/2571-712X/2/2/16 |
| work_keys_str_mv | AT brentharrison boseeinsteincondensationfromtheqcdboltzmannequation AT andrepeshier boseeinsteincondensationfromtheqcdboltzmannequation |