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Re-define the steering force to allow for an easier definition of the biasing constant #79

@DSilva27

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@DSilva27

If we define the steering energy as $E = k \text{RMSD}(X, X_{ref})$, then the force has norm $k n^{-1/2}$, with $n$ being the number of atoms. This makes the norm of the force independent of the configuration. Since the MD term is pretty stable, this allows for a more systematic definition of the steering force.

  • Change $\text{RMSD}^2$ to $\text{RMSD}$
  • Increase the number of steps performed when initializing a projector so that the simulations are more stable.
  • Change the user input to be a constant of proportionality between the MD energy and the bias energy, i.e., "make the bias energy be 1/10 of the MD energy".
  • Write a function that estimates the scaling factor given a PDB, and introduce it to the ensemble optimization command.

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