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Self-similar solutions for fuzzy dark matter
by Raquel Galazo-Garcia, Philippe Brax, Patrick Valageas
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Submission summary
| Authors (as registered SciPost users): | Raquel Galazo-Garcia |
| Submission information | |
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| Preprint Link: | scipost_202210_00011v1 (pdf) |
| Date submitted: | 2022-10-02 23:46 |
| Submitted by: | Galazo-Garcia, Raquel |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 14th International Conference on Identification of Dark Matter (IDM2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Self-similar solutions for fuzzy dark matter are very different from their counterparts in the standard cold dark matter model. In contrast to the familiar hierarchical collapse of the current model for structure formation, they correspond to an inverse hierarchical blow-up. This fact highlights the gravitational cooling process, which in the absence of dissipation, allows the system to eject excess energy through the intermittent expulsion of clumps of matter. These surprising behaviours are due to the wave properties of the Schrödinger equation and to the quantum pressure. These features are printed in the Eulerian density-velocity representation of the nonrelativistic scalar field, or in the Lagrangian representation in the mass-shell trajectories.
Current status:
Reports on this Submission
Anonymous Report 1 on 2022-10-23 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202210_00011v1, delivered 2022-10-23, doi: 10.21468/SciPost.Report.5961
Strengths
1. This manuscript studies the solutions for fuzzy dark matter halo with the additional quantum pressure term, with the self-similar ansatz.
2. The results are interesting, in showing very different behaviour compared with the cold dark matter case. And the causes are also properly discussed.
Report
Although the study is highly mathematical, the results are interesting and useful. Thus I recommend its publication in SciPost Physics Proceedings after several minor changes.
Requested changes
1. It will be appreciated if the author can explain a little, in the text, the physical meaning of "linear density contrast" (green line of in Figure 1) and "the linear version" (above sec.4). I guess it is directly given by Eq.(73) of [17]?
2. For the second panel of Fig.1, should be the y-axis be labeled as "$\hat u$", as it only depends on eta?
3. BTW, In the right panel there, is $\delta (0) = 100$ the only initial condition needed to obtain the trajectory x(t)?
4. There are typos I suggest the author to further check, such as "that the impact of the nonlinear corrections.", and " character with well-distinguishable because".