Thanks David for sharing your knowledge, especially the note that for further information one can refer to the literature that was written around the time that these thermostats were released. I have a question though:

by the way it is also true that if you use a thermostat or barostat then although long time averages are equivalent to averages in the NVT or NPT ensemble strictly the dynamics is no longer valid as a Newtonian trajectory so you should not derive dynamic properties from such trajectories.

Have you seen any information to suggest that this is actually a non-trivial concern? That is, given static point charges, an empirical LJ force, short cutoffs, etc., do you believe that the application of nose-hoover, berendsen, or even the arbitrary velocity rescaling significantly degrades the quality of the obtained dynamics?

Thanks,
Chris.

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