Hi Sikandar,

The situation is a bit more complicated when you have a multicomponent
mixture (e.g. solute/solvent). If the concentration of solute
molecules is small, you can integrate out solvent degrees of freedom
by calculating solute-solute PMF using the pull code. In this case the
two-body PMF is exactly -log(g_solute(r)) (thought you cannot directly
calculate it).  The trick is that, at small concentrations, two-body
solute-solute PMF equals to the coarse-grained interaction potential.
Hence, people use this two-body PMF to do coarse-grained simulations.
It is of course incorrect for high concentrations of solute molecules.

I also understand what you do to calculate PMF for water. I think it
can be done this way, but one has to be very careful about what forces
to include and how to normalize forces in the bin. Do you take into
account different number of molecules in bins? In other words, do you
weight your average by g(r)? Is this an average force from all
molecules or only from the one which is chosen to be a reference?

Best,
Denis

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