Molecular dynamics (MD) often use a thermostat so that they can control the temperature. Temperature tends to drift due to endo/exothermic reactions (that would normally absorb/emit heat to a large thermal bath) and numerical errors.
Thermostats are a bit cumbersome, each has significant disadvantages (i.e. "flying ice cube" effect). How about a thermostat that simply sets a global damping coefficient on the short-range interactions? If we are too cold, it would set a negative damping to add energy and warm us up, and visa-versia if we are too hot. This would inject or remove energy mostly from the higher frequency vibrations, which is where numerical error tends to originate. This idea seems good at first glance, but it must have important issues of it's own. What are the problems with using this thermostat, and does this thermostat have a name in the literature?