Exact solution of the nonlinear boson diffusion equation for gluon scattering
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913451333386240 |
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| author | Möhringer, L. Wolschin, G. |
| author_facet | Möhringer, L. Wolschin, G. |
| contents | An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb-Pb collisions at relativistic energies is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11017 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact solution of the nonlinear boson diffusion equation for gluon scattering Möhringer, L. Wolschin, G. Nuclear Theory High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb-Pb collisions at relativistic energies is given. |
| title | Exact solution of the nonlinear boson diffusion equation for gluon scattering |
| topic | Nuclear Theory High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2406.11017 |