Stellar age dependence of the nonextensive magnetic braking index: a test for the open cluster $\alpha$Per

Abstract

Using a generalized function of the stellar spin-down law, we investigate the age dependence of the magnetic braking index ($q$). Our survey includes 9 open clusters aged lower than 1 Gyr and ranged in mass from 0.7 to 1.1$M_{\odot }$. Our aim is to verify the time behavior of the nonextensive braking index $q$ which brings the cumulative distribution of the rotational velocities of the stars of the youngest cluster ($\alpha \mathrm{Per}$) taken at the future age of an older cluster. As a result, the $q$-index is calculated over time $t-t_{\alpha \mathrm{Per}}$, where $t$ is the age of older open cluster used to estimate the future cumulative distribution of the rotational velocity of the $\alpha \mathrm{Per}$ cluster with present-day age $t_{\alpha \mathrm{Per}}$. We find that the values of $q$ are slightly constant around 1.36 and 1.38 according to the mass bin. In conclusion, the results seem to indicate that the mechanism that controls the rotational decay of stars in open clusters does not depend on the increment of time.

arXiv comment6 pages, 3 figures, 2 tables, submit to the EPL journal. arXiv admin note: text overlap with arXiv:2003.01444, arXiv:2003.06287

References in corpus (21)

• Ages for illustrative field stars using gyrochronology: viability, limitations and errors
• On the rotational evolution of solar- and late-type stars, its magnetic origins, and the possibility of stellar gyrochronology
• Astrophysical parameters of Galactic open clusters
• Statistical mechanics in the context of special relativity
• Stellar magnetism: empirical trends with age and rotation
• The Geneva-Copenhagen Survey of the Solar neighbourhood II. New uvby calibrations and rediscussion of stellar ages, the G dwarf problem, age-metallicity diagram, and heating mechanisms of the disk
• Stellar Models with Microscopic Diffusion and Rotational Mixing I: Application to the Sun
• Stellar Rotation in M35: Mass-Period Relations, Spin-Down Rates, and Gyrochronology
• Radius Dependent Angular Momentum Evolution in Low-Mass Stars. I
• The Age-Activity-Rotation Relationship in Solar-Type Stars
• The Monitor project: Rotation periods of low-mass stars in M50
• The formation and dynamical evolution of young star clusters
• Rotation periods for cool stars in the open cluster Ruprecht 147 (NGC 6774): Implications for gyrochronology
• A nonextensive approach to the stellar rotational evolution I. F and G type stars
• Time-dependent nonextensivity arising from the rotational evolution of solar-type stars
• Star-planet tidal interaction and the limits of gyrochronology
• Nonextensivity in the Solar Neighborhood
• Strong evidences for a nonextensive behavior of the rotation period in Open Clusters
• Chandrasekhar's relation and the stellar rotation in the Kepler field
• A nonextensive view of the stellar braking indices
• Non-extensive processes associated with heating of the Galactic disc

Cited by in corpus (2)

• Stellar Rotation in the Gaia Era: Revised Open Clusters Sequences
• Hemispheric asymmetry in the sunspot cycle as a nonextensive phenomenon