Phase-space perturbation theory for cosmic large-scale structure
We consider a perturbative approach to the Vlasov-Poisson system for cosmic structure formation that does not rely on any truncation of the momentum-cumulant hierarchy. The generally non-trivial linear solution is computed by solving a Volterra-type integral equation and higher orders are obtained r...
Guardado en:
| Autores principales: | , , |
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| Formato: | Article (Journal) |
| Lenguaje: | inglés |
| Publicado: |
2026
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| In: |
Journal of cosmology and astroparticle physics
Year: 2026, Volumen: 2026, Número: 04, Pages: 1-19 |
| ISSN: | 1475-7516 |
| DOI: | 10.1088/1475-7516/2026/04/012 |
| Acceso en línea: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1475-7516/2026/04/012
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| Notas de Autor: | Hannes Heisler, Marvin Sipp and Matthias Bartelmann (Institut für Theoretische Physik, Universität Heidelberg) |
| Sumario: | We consider a perturbative approach to the Vlasov-Poisson system for cosmic structure formation that does not rely on any truncation of the momentum-cumulant hierarchy. The generally non-trivial linear solution is computed by solving a Volterra-type integral equation and higher orders are obtained recursively. As expected, the results of Eulerian standard perturbation theory are recovered for perfectly cold initial conditions. Deviating slightly from the latter by introducing a homogeneous and isotropic initial velocity dispersion, we show that all higher momentum cumulants are generated dynamically at any perturbative order. We support our numerical solutions by an analytical large-scale approximation. Our approach serves as a basis for exploring different background-perturbation splits of the phase-space density and nonperturbative techniques. |
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| Notas: | Online veröffentlicht: 8. April 2026 Gesehen am 15.06.2026 |
| Descripción Física: | Online Resource |
| ISSN: | 1475-7516 |
| DOI: | 10.1088/1475-7516/2026/04/012 |