2003/07/25 by Arnab Ray, Ray, Arnab K., Jayanta K. Bhattacharjee +1 · 1 citation
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics (astro-ph) #Astrophysics and Star Formation Studies #FOS: Physical sciences #Phase Equilibria and Thermodynamics
paper · pdf · doi:10.48550/arxiv.astro-ph/0307447
openalex publication_date 2003/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The inviscid and thin accretion disc is a simple and well understood model system in accretion studies. In this work, modelling such a disc like a dynamical system, we analyse the nature of the fixed points of the stationary solutions of the flow. We show that of the two fixed points, one is a saddle and the other is a centre type point. We then demonstrate, using a simple but analogous mathematical model, that a temporal evolution of the flow is a very likely non-perturbative mechanism for the selection of an inflow solution that passes through the saddle type critical point.