Stochastic shock waves as a candidate mechanism for the formation of the He I 10830-A line in cool giant stars

The question of whether strong shocks produced in time-dependent stochastic wave models can explain the formation of the He I 10830-A line in cool giant stars is examined. The research is based on the ab initio chromosphere model for Arcturus by Cuntz (1987), showing that a stochastic distribution of wave periods leads to overtaking and merging of shocks, which occasionally produce very strong shocks with temperatures larger than 40,000 K in the postshock regions. These temperatures can easily produce a significant population in the 2s 3S state by electron collisional excitation. The 10830-A line occurs in absorption when the densities in the shocks exceed 10 million/cu cm.