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Main Authors: Dmitriev, A. S., Levkov, D. G., Panin, A. G., Tkachev, I. I.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.02694
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author Dmitriev, A. S.
Levkov, D. G.
Panin, A. G.
Tkachev, I. I.
author_facet Dmitriev, A. S.
Levkov, D. G.
Panin, A. G.
Tkachev, I. I.
contents We study an overpopulated gas of gravitationally interacting bosons surrounding a droplet of Bose-Einstein condensate - Bose star. We argue that kinetic evolution of this gas approaches with time a self-similar attractor solution to the kinetic equation. If the scale symmetry of the equation is broken by external conditions, the attractor solution exists, remains approximately self-similar, but has slowly drifting scaling dimension. The latter new regime of adiabatic self-similarity can determine growth of dark matter Bose stars in cosmological models.
format Preprint
id arxiv_https___arxiv_org_abs_2509_02694
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Self-similar kinetics for gravitational Bose-Einstein condensation
Dmitriev, A. S.
Levkov, D. G.
Panin, A. G.
Tkachev, I. I.
Cosmology and Nongalactic Astrophysics
Quantum Gases
Statistical Mechanics
High Energy Physics - Phenomenology
We study an overpopulated gas of gravitationally interacting bosons surrounding a droplet of Bose-Einstein condensate - Bose star. We argue that kinetic evolution of this gas approaches with time a self-similar attractor solution to the kinetic equation. If the scale symmetry of the equation is broken by external conditions, the attractor solution exists, remains approximately self-similar, but has slowly drifting scaling dimension. The latter new regime of adiabatic self-similarity can determine growth of dark matter Bose stars in cosmological models.
title Self-similar kinetics for gravitational Bose-Einstein condensation
topic Cosmology and Nongalactic Astrophysics
Quantum Gases
Statistical Mechanics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.02694