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| Verfasst von: | Schwersenz, Nico [VerfasserIn]  |
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| | Loaiza, Victor [VerfasserIn] |
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| | Zimmermann, Tim [VerfasserIn] |
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| | Madroñero, Javier [VerfasserIn] |
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| | Wimberger, Sandro [VerfasserIn] |
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| Titel: | Comparison of two different integration methods for the (1+1)-dimensional Schrödinger-Poisson equation |
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| Verf.angabe: | Nico Schwersenz, Victor Loaiza, Tim Zimmermann, Javier Madroñero, Sandro Wimberger |
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| E-Jahr: | 2024 |
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| Jahr: | 29 March 2024 |
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| Umfang: | 14 S. |
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| Fussnoten: | Gesehen am 11.11.2024 |
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| Titel Quelle: | Enthalten in: Computer physics communications |
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| Ort Quelle: | Amsterdam : North Holland Publ. Co., 1969 |
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| Jahr Quelle: | 2024 |
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| Band/Heft Quelle: | 300(2024), Artikel-ID 109192, Seite 109192-1-109192-14 |
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| ISSN Quelle: | 1879-2944 |
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| Abstract: | We compare two different numerical methods to integrate in time spatially delocalized initial densities using the Schrödinger-Poisson equation system as the evolution law. The basic equation is a nonlinear Schrödinger equation with an auto-gravitating potential created by the wave function density itself. The latter is determined as a solution of Poisson's equation modelling, e.g., non-relativistic gravity. For reasons of complexity, we treat a one-dimensional version of the problem whose numerical integration is still challenging because of the extreme long-range forces (being constant in the asymptotic limit). Both of our methods, a Strang splitting scheme and a basis function approach using B-splines, are compared in numerical convergence and effectivity. Overall, our Strang-splitting evolution compares favourably with the B-spline method. In particular, by using an adaptive time-stepper rather large one-dimensional boxes can be treated. These results give hope for extensions to two spatial dimensions for not too small boxes and large evolution times necessary for describing, for instance, dark matter formation over cosmologically relevant scales. |
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| DOI: | doi:10.1016/j.cpc.2024.109192 |
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| URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1016/j.cpc.2024.109192 |
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| | Volltext: https://www.sciencedirect.com/science/article/pii/S0010465524001152 |
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| | DOI: https://doi.org/10.1016/j.cpc.2024.109192 |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Sach-SW: | B-spline basis |
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| | Gravitation |
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| | Pseudospectral method |
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| | Schrödinger-Poisson system |
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| | Wave-like dark matter |
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| K10plus-PPN: | 1908139099 |
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| Verknüpfungen: | → Zeitschrift |
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Comparison of two different integration methods for the (1+1)-dimensional Schrödinger-Poisson equation / Schwersenz, Nico [VerfasserIn]; 29 March 2024 (Online-Ressource)
