Revealing turbulent Dark Matter via merging of self-Gravitating condensates

Fuente: arXiv
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Main Authors: Sivakumar, Anirudh, Mishra, Pankaj Kumar, Hujeirat, Ahmad A., Muruganandam, Paulsamy
Format: Preprint
Published: 2025
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_version_ 1866913902628962304
author Sivakumar, Anirudh
Mishra, Pankaj Kumar
Hujeirat, Ahmad A.
Muruganandam, Paulsamy
author_facet Sivakumar, Anirudh
Mishra, Pankaj Kumar
Hujeirat, Ahmad A.
Muruganandam, Paulsamy
contents Self-gravitating condensates have been proposed as potential candidates for modelling dark matter. In this paper, we numerically investigate the dynamics of dark matter utilizing the merging of self-gravitating condensates. We have used the Gross-Pitaevskii-Poisson model and identified distinct turbulent regimes based on the merging speed of the condensate. As a result of collision, we notice the appearance of various dark soliton-mediated instabilities that finally lead to the turbulent state characterized by Kolmogorov-like turbulence scaling \( \varepsilon_{\mathrm{kin}}^i \sim k^{-5/3} \) in the infrared and \( \varepsilon_{\mathrm{kin}}^i \sim k^{-3} \) in the ultraviolet regions. The compressible spectrum suggests weak-wave turbulence. The turbulent fluctuations in the condensate cease as the vortices formed via soliton decay are expelled to the condensate's periphery, manifested in the transferring of kinetic energy from incompressible and compressible flows to the quantum pressure energy. We also establish the significant role played by the self-gravitating trap in determining the distribution of compressible kinetic energy and the resulting density waves, which differ markedly from those observed in atomic condensates under harmonic confinement. Our study may offer valuable insights into the merging of binary stars and open new avenues for understanding the structure and dynamics of the dark matter through self-gravitating condensate.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13689
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revealing turbulent Dark Matter via merging of self-Gravitating condensates
Sivakumar, Anirudh
Mishra, Pankaj Kumar
Hujeirat, Ahmad A.
Muruganandam, Paulsamy
Quantum Gases
General Relativity and Quantum Cosmology
Self-gravitating condensates have been proposed as potential candidates for modelling dark matter. In this paper, we numerically investigate the dynamics of dark matter utilizing the merging of self-gravitating condensates. We have used the Gross-Pitaevskii-Poisson model and identified distinct turbulent regimes based on the merging speed of the condensate. As a result of collision, we notice the appearance of various dark soliton-mediated instabilities that finally lead to the turbulent state characterized by Kolmogorov-like turbulence scaling \( \varepsilon_{\mathrm{kin}}^i \sim k^{-5/3} \) in the infrared and \( \varepsilon_{\mathrm{kin}}^i \sim k^{-3} \) in the ultraviolet regions. The compressible spectrum suggests weak-wave turbulence. The turbulent fluctuations in the condensate cease as the vortices formed via soliton decay are expelled to the condensate's periphery, manifested in the transferring of kinetic energy from incompressible and compressible flows to the quantum pressure energy. We also establish the significant role played by the self-gravitating trap in determining the distribution of compressible kinetic energy and the resulting density waves, which differ markedly from those observed in atomic condensates under harmonic confinement. Our study may offer valuable insights into the merging of binary stars and open new avenues for understanding the structure and dynamics of the dark matter through self-gravitating condensate.
title Revealing turbulent Dark Matter via merging of self-Gravitating condensates
topic Quantum Gases
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2501.13689