Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for th...
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MDPI AG
2022-03-01
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| Online Access: | https://www.mdpi.com/2218-2004/10/1/28 |
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| author | Fernando Haas Rodrigo Vidmar |
| author_facet | Fernando Haas Rodrigo Vidmar |
| author_sort | Fernando Haas |
| collection | DOAJ |
| description | The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments. |
| first_indexed | 2024-03-09T20:06:44Z |
| format | Article |
| id | doaj.art-64f9b4e7c7ef473780e1eae5345a824d |
| institution | Directory Open Access Journal |
| issn | 2218-2004 |
| language | English |
| last_indexed | 2024-03-09T20:06:44Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atoms |
| spelling | doaj.art-64f9b4e7c7ef473780e1eae5345a824d2023-11-24T00:28:20ZengMDPI AGAtoms2218-20042022-03-011012810.3390/atoms10010028Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov EquationFernando Haas0Rodrigo Vidmar1Physics Institute, Federal University of Rio Grande do Sul, Av. Bento Gonçalves 9500, Porto Alegre 91501-970, RS, BrazilPhysics Institute, Federal University of Rio Grande do Sul, Av. Bento Gonçalves 9500, Porto Alegre 91501-970, RS, BrazilThe one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments.https://www.mdpi.com/2218-2004/10/1/28cold dilute bosonic gasLandau–Vlasov equationBernstein–Greene–Kruskal modesCase–Van Kampen modes |
| spellingShingle | Fernando Haas Rodrigo Vidmar Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation Atoms cold dilute bosonic gas Landau–Vlasov equation Bernstein–Greene–Kruskal modes Case–Van Kampen modes |
| title | Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation |
| title_full | Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation |
| title_fullStr | Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation |
| title_full_unstemmed | Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation |
| title_short | Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation |
| title_sort | bernstein greene kruskal and case van kampen modes for the landau vlasov equation |
| topic | cold dilute bosonic gas Landau–Vlasov equation Bernstein–Greene–Kruskal modes Case–Van Kampen modes |
| url | https://www.mdpi.com/2218-2004/10/1/28 |
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