The Nature of Small-Scale Perturbation Modes in a Nonstationary Self-Gravitating Disk
Abstract
In this work, we investigate the nature of gravitational instability of small-scale perturbation modes during the early nonstationary stages of the evolution of disk-like galaxies. To this end, we study the gravitational instability of small-scale horizontal perturbation modes, such as (m;N) = (12;20), (14;20), (16;20), and (18;20), in the framework of a nonlinear nonstationary anisotropic model of a self-gravitating disk. The corresponding nonstationary analogues of the dispersion equation for these perturbation modes are derived, and their numerical analysis is performed. The results are presented in the form of critical dependences of the initial virial ratio on the disk rotation parameter. The nature of the instability of small-scale perturbation modes in a nonlinear nonstationary self-gravitating disk is determined, and a comparative analysis of their instability increments is carried out.
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BibTeX
@misc{mirtadjieva2026nature,
title = {{The Nature of Small-Scale Perturbation Modes in a Nonstationary Self-Gravitating Disk}},
author = {K. T. Mirtadjieva and J. M. Ganiev and S. N. Nuritdinov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13111},
eprint = {2609.13111},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13111},
}
RIS
TY - UNPB
TI - The Nature of Small-Scale Perturbation Modes in a Nonstationary Self-Gravitating Disk
AU - K. T. Mirtadjieva
AU - J. M. Ganiev
AU - S. N. Nuritdinov
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.13111
UR - https://arxiv.org/abs/2609.13111
AB - In this work, we investigate the nature of gravitational instability of small-scale perturbation modes during the early nonstationary stages of the evolution of disk-like galaxies. To this end, we study the gravitational instability of small-scale horizontal perturbation modes, such as (m;N) = (12;20), (14;20), (16;20), and (18;20), in the framework of a nonlinear nonstationary anisotropic model of a self-gravitating disk. The corresponding nonstationary analogues of the dispersion equation for these perturbation modes are derived, and their numerical analysis is performed. The results are presented in the form of critical dependences of the initial virial ratio on the disk rotation parameter. The nature of the instability of small-scale perturbation modes in a nonlinear nonstationary self-gravitating disk is determined, and a comparative analysis of their instability increments is carried out.
ER -