  We investigate a model of magnetic friction with the infinite-range
interaction by mean field analysis and a numerical simulation, and compare its
behavior with that of the short-range model that we considered previously
[H.~Komatsu, Phys.\ Rev.\ E.\ \textbf{100}, 052130 (2019)]. This infinite-range
model always obeys the Stokes law when the temperature is higher than the
critical value, $T_c$, whereas it shows a crossover or transition from the
Dieterich--Ruina law to the Stokes law when the temperature is lower than
$T_c$. Considering that the short-range model in our previous study shows a
crossover or transition irrespective of whether the temperature is above or
below the equilibrium transition temperature, the behavior in the
high-temperature state is the major difference between these two models.
