On the fast magnetic rotator regime of stellar winds

Aims. We study the acceleration of the stellar winds of rapidly rotating low mass stars and the transition between the slow magnetic rotator and fast magnetic rotator regimes. We aim to understand the properties of stellar winds in the fast magnetic rotator regime and the e ff ects of magneto-centrifugal forces on wind speeds and mass loss rates. Methods. We extend a solar wind model to 1D magnetohydrodynamic simulations of the winds of rotating stars. We test two assumptions for how to scale the wind temperature to other stars and assume the mass loss rate scales as. M star alpha R-star(2) Omega star(1.33) M star(-3.36), in the unsaturated regime, as estimated from observed rotational evolution. Results. For 1.0 M circle dot stars, the winds can be accelerated to several thousand km s(-1), and the e ff ects of magneto-centrifugal forces are much weaker for lower mass stars. We find that the di ff erent assumptions for how to scale the wind temperature to other stars lead to significantly di ff erent mass loss rates for the rapid rotators. If we assume a constant temperature, the mass loss rates of solar mass stars do not saturate at rapid rotation, which we show to be inconsistent with observed rotational evolution. If we assume the wind temperatures scale positively with rotation, the mass loss rates are only influenced significantly at rotation rates above similar to 75 Omega circle dot. We suggest that models with increasing wind speed for more rapid rotators are preferable to those that assume a constant wind speed. If this conclusion is confirmed by more sophisticated wind modelling. it might provide an interesting observational constraint on the properties of stellar winds.