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A dynamo model of magnetic activity in solar-like stars with different rotational velocities
Solar and Stellar Astrophysics · Submitted 8 Feb 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the dimensionless amplitude $f_m$ of the toroidal flux through the star increases with decreasing rotation period.
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The abstract, sentence by sentence
We attempt to provide a quantitative theoretical explanation for the observations that Ca II H/K emission and X-ray emission from solar-like stars increase with decreasing Rossby number (i.e., with faster rotation). Assuming that these emissions are caused by magnetic cycles similar to the sunspot cycle, we construct flux transport dynamo models of $1M_{\odot}$ stars rotating with different rotation periods. We first compute the differential rotation and the meridional circulation inside these stars from a mean-field hydrodynamics model. Then these are substituted in our dynamo code to produce periodic solutions. We find that the dimensionless amplitude $f_m$ of the toroidal flux through the star increases with decreasing rotation period. The observational data can be matched if we assume the emissions to go as the power 3-4 of $f_m$. Assuming that the Babcock-Leighton mechanism saturates with increasing rotation, we can provide an explanation for the observed saturation of emission at low Rossby numbers. The main failure of our model is that it predicts an increase of magnetic cycle period with increasing rotation rate, which is the opposite of what is found observationally. Much of our calculations are based on the assumption that the magnetic buoyancy makes the magnetic flux tubes to rise radially from the bottom of the convection zone. On taking account of the fact that the Coriolis force diverts the magnetic flux tubes to rise parallel to the rotation axis in rapidly rotating stars, the results do not change qualitatively.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We attempt to provide a quantitative theoretical explanation for the observations that Ca II H/K emission and X-ray emission from solar-like stars increase with decreasing Rossby number (i.e., with faster rotation). | background 0.64 | 0.12 | 0.09 | hedged possibility 0.41 |
| s1 | Assuming that these emissions are caused by magnetic cycles similar to the sunspot cycle, we construct flux transport dynamo models of $1M_{\odot}$ stars rotating with different rotation periods. | method 0.78 | 0.91 | 0.04 | asserted 0.81 |
| s2 | We first compute the differential rotation and the meridional circulation inside these stars from a mean-field hydrodynamics model. | method 1.00 | 0.91 | 0.02 | asserted 0.97 |
| s3 | Then these are substituted in our dynamo code to produce periodic solutions. | method 1.00 | 0.90 | 0.03 | asserted 0.98 |
| s4 | We find that the dimensionless amplitude $f_m$ of the toroidal flux through the star increases with decreasing rotation period. | result 1.00 | 0.97 | 0.32 | asserted 1.00 |
| s5 | The observational data can be matched if we assume the emissions to go as the power 3-4 of $f_m$. | interpretation 0.70 | 0.64 | 0.21 | hedged possibility 0.79 |
| s6 | Assuming that the Babcock-Leighton mechanism saturates with increasing rotation, we can provide an explanation for the observed saturation of emission at low Rossby numbers. | interpretation 0.74 | 0.81 | 0.13 | hedged possibility 0.68 |
| s7 | The main failure of our model is that it predicts an increase of magnetic cycle period with increasing rotation rate, which is the opposite of what is found observationally. | limitation 1.00 | 0.89 | 0.22 | asserted 1.00 |
| s8 | Much of our calculations are based on the assumption that the magnetic buoyancy makes the magnetic flux tubes to rise radially from the bottom of the convection zone. | method 0.73 | 0.47 | 0.02 | asserted 0.86 |
| s9 | On taking account of the fact that the Coriolis force diverts the magnetic flux tubes to rise parallel to the rotation axis in rapidly rotating stars, the results do not change qualitatively. | result 0.73 | 0.79 | 0.05 | asserted 1.00 |
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The paper
Original abstract
We attempt to provide a quantitative theoretical explanation for the observations that Ca II H/K emission and X-ray emission from solar-like stars increase with decreasing Rossby number (i.e., with faster rotation). Assuming that these emissions are caused by magnetic cycles similar to the sunspot cycle, we construct flux transport dynamo models of $1M_{\odot}$ stars rotating with different rotation periods. We first compute the differential rotation and the meridional circulation inside these stars from a mean-field hydrodynamics model. Then these are substituted in our dynamo code to produce periodic solutions. We find that the dimensionless amplitude $f_m$ of the toroidal flux through the star increases with decreasing rotation period. The observational data can be matched if we assume the emissions to go as the power 3-4 of $f_m$. Assuming that the Babcock-Leighton mechanism saturates with increasing rotation, we can provide an explanation for the observed saturation of emission at low Rossby numbers. The main failure of our model is that it predicts an increase of magnetic cycle period with increasing rotation rate, which is the opposite of what is found observationally. Much of our calculations are based on the assumption that the magnetic buoyancy makes the magnetic flux tubes to rise radially from the bottom of the convection zone. On taking account of the fact that the Coriolis force diverts the magnetic flux tubes to rise parallel to the rotation axis in rapidly rotating stars, the results do not change qualitatively.
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References
How the literature uses it
6 arXiv papers cite this in 9 sentences
Papers citing it · 6 sentences without a confident label
Builds on it 1 paper
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Recently, [ref] extended the study of [ref] by incorporating radial turbulent pumping.
Mean field models of flux transport dynamo and meridional circulation in the Sun and stars · Extrapolation to stellar dynamos · 0.99
Cites it as support 1 paper
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So, when we want to vary our dynamo parameters over a wide range or when we use unusual parameter specifications (such as a multi-cell meridional circulation), we are often unable to obtain results with the local $α$ parameterization procedure and are forced to use the more robust non-local procedure described in 3.1 [ref] .
The treatment of magnetic buoyancy in flux transport dynamo models · Comparison between the non-local and local methods · 0.97
Cites it as background 1 paper
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Many theoretical efforts have been made to understand the relation of magnetic activity and cycle period with rotation period of the stars [ref] .
Mean field models of flux transport dynamo and meridional circulation in the Sun and stars · Extrapolation to stellar dynamos · 0.94
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