Streaming cosmic-ray heating makes halo-gas thermal instability an overstability with an Alfvén-scale frequency, and yields a Schwarzschild-form convection criterion involving gas plus cosmic-ray pressure.
in Ferrara A., McKee C
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Thermal Instability of Halo Gas Heated by Streaming Cosmic Rays
Streaming cosmic-ray heating makes halo-gas thermal instability an overstability with an Alfvén-scale frequency, and yields a Schwarzschild-form convection criterion involving gas plus cosmic-ray pressure.