# Self-similar kinetics for gravitational Bose-Einstein condensation

Source: [Self-similar kinetics for gravitational Bose-Einstein condensation](<https://www.sota2.com/research/paper/68fa4b8f1e209131ce946dbe>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-12-20T05:00:04.300Z

Authors: A.S. Dmitriev, D.G. Levkov, A.G. Panin, I.I. Tkachev

Published: 2025-09-02T18:00:09.000Z

## Abstract

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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2509.02694>)

[PDF](<https://arxiv.org/pdf/2509.02694.pdf>)