English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We carry out the effect of $\beta$-prescription for viscosity whichintroduced by Duschel et al. 2000 & Hure, Richard & Zhan 2001, in a standardself-gravitating thin disks. We were predicted in a self-gravitating thin diskthe $\beta$-model will have different dynamical behavior compare the well known$\alpha$-prescriptions. We used self-similar methods for solving the integratedequations which govern the dynamical behavior of the thin disks. We present theresults of self-similar solutions of the time evolution of axisymmetric,polytropic, self-gravitating viscous disks around a new born central object. Weapply a $\beta$-viscosity prescription which has been derived from rotatingshear flow experiments ($\nu=\beta r^2\Omega$). Using reduced equations in aslow accretion limit, we demonstrate inside-out self-similar solutions aftercore formation in the center. Some physical quantities for $\beta$-disks aredetermined numerically.We have compared our results with $\alpha$-disks underthe same initial conditions. It has been found that the accretion rate onto thecentral object for $\beta$-disks more than $\alpha$-disks at least in the outerregions where $\beta$-disks are more efficient. Our results show that Toomreinstability parameter is less than one everywhere on the $\beta$-disk whichmeans that in such disks gravitational instabilities can be occurred, so the$\beta$-disk model can be a good candidate for the origin of planetary systems.Our results show that the $\beta$-disks will decouple in the outer part of thedisk where the self-gravity plays an important role which is in agreement withDuschl predictions.Comment: 8 pages, 6 figures, accepted by A&

Self-similar evolutionary solutions of self-gravitating, polytropicβ-viscous disks