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How to check when a system reaches it's equilibrium

This is a nontrivial question, and the answer partly depends on what you are trying to do. As David points out, if you want to do protein folding, say, your protein needs to have long enough to forget about its starting state (hence his comment about folding and unfolding). Usually that takes a prohibitively long time, though, for large proteins. So assuming you don't want to solve the protein folding problem you have to be content with something less. Definitely you want to run long enough that the protein RMSD  quits increasing, temperature and energy begin fluctuating around some relatively stable value, and so on. You can also look for things like number of protein-water hydrogen bonds if you have explicit solvent; this tends to take a much longer time to equilibrate. Probably a good suggestion is to find out what other people have done who are doing something similar to you, and make sure you equilibrate at least as much as they do.

    Just a remark about the rmsd with respect to the Xray structure: you might want to plot rmsd vs log(time), that is a better check sometimes.

    Well, rmsd is not that bad. Just that it is easier to judge a converged rmsd from a non-converged one when you plot it against log(t) instead of t. Another convergence check is the cosine content of the traj projected onto some (slow) PCA modes.

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