Solving a nonlinear analytical model for bosonic equilibration
An integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the singularity at ε=μ. The buildup of a thermal tail during ev...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-03-01
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| Series: | Physics Open |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666032619300134 |
| _version_ | 1818120150994386944 |
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| author | N. Rasch G. Wolschin |
| author_facet | N. Rasch G. Wolschin |
| author_sort | N. Rasch |
| collection | DOAJ |
| description | An integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the singularity at ε=μ. The buildup of a thermal tail during evaporative cooling, as well as the transition to the condensed state are accounted for. To enforce particle-number conservation during the cooling process with an energy-dependent density of states for a three-dimensional thermal cloud, a time-dependent chemical potential is introduced. |
| first_indexed | 2024-12-11T05:21:32Z |
| format | Article |
| id | doaj.art-822704a897e048fb97561251822a0262 |
| institution | Directory Open Access Journal |
| issn | 2666-0326 |
| language | English |
| last_indexed | 2024-12-11T05:21:32Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Open |
| spelling | doaj.art-822704a897e048fb97561251822a02622022-12-22T01:19:42ZengElsevierPhysics Open2666-03262020-03-012100013Solving a nonlinear analytical model for bosonic equilibrationN. Rasch0G. Wolschin1Institut für Theoretische Physik der Universität Heidelberg, Philosophenweg 12-16, D-69120, Heidelberg, EU, GermanyCorresponding author.; Institut für Theoretische Physik der Universität Heidelberg, Philosophenweg 12-16, D-69120, Heidelberg, EU, GermanyAn integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the singularity at ε=μ. The buildup of a thermal tail during evaporative cooling, as well as the transition to the condensed state are accounted for. To enforce particle-number conservation during the cooling process with an energy-dependent density of states for a three-dimensional thermal cloud, a time-dependent chemical potential is introduced.http://www.sciencedirect.com/science/article/pii/S2666032619300134Nonlinear bosonic diffusion equationExact solution of nonlinear equationEquilibration of cold atomic gases |
| spellingShingle | N. Rasch G. Wolschin Solving a nonlinear analytical model for bosonic equilibration Physics Open Nonlinear bosonic diffusion equation Exact solution of nonlinear equation Equilibration of cold atomic gases |
| title | Solving a nonlinear analytical model for bosonic equilibration |
| title_full | Solving a nonlinear analytical model for bosonic equilibration |
| title_fullStr | Solving a nonlinear analytical model for bosonic equilibration |
| title_full_unstemmed | Solving a nonlinear analytical model for bosonic equilibration |
| title_short | Solving a nonlinear analytical model for bosonic equilibration |
| title_sort | solving a nonlinear analytical model for bosonic equilibration |
| topic | Nonlinear bosonic diffusion equation Exact solution of nonlinear equation Equilibration of cold atomic gases |
| url | http://www.sciencedirect.com/science/article/pii/S2666032619300134 |
| work_keys_str_mv | AT nrasch solvinganonlinearanalyticalmodelforbosonicequilibration AT gwolschin solvinganonlinearanalyticalmodelforbosonicequilibration |