Upon further investigation, it appears that a soft core may help in this case. This is in spite of the fact that the problem is not a singularity, but that the dgdl term (dgdl=0.5*(Fc_B-Fc_A)*(r-r0)^2) gives very large values for Fc_A large enough to be significantly restraining and Fc_B = zero, where the sampling in the B state is massively unlikely to occur in the A state. I had originally thought that the lambda parameter would get included in dgdl (http://www.gromacs.org/pipermail/gmx-developers/2009-February/003004.html) but that is obviously not the case.

I have found an alternative solution, but in case anyone else wants to follow this path in the future, it is possible that a lambda squared dependence would give improved behaviour since lambda would then be included in the dgdl equation. My quite possibly incorrect attempt at differentiation yields dgdl=(lambda-0.5)*Fc_A*(r-r0)^2 in this case where Fc_B=0.0, but in any event the (1-lambda)^2 term will ensure that lambda hangs around in some form, and this should reduce the uncertainties that occur near and at the no-restraint state.

Chris.

-- original message --

Thank you Matt, that is indeed the perfect paper. I'll post back here
once I figure out exactly where the (1-lambda)^2 term would fit into
the pull code US equation.

Chris.

This seems to be a good reference for soft-core interactions.

BEUTLER et al. AVOIDING SINGULARITIES AND NUMERICAL INSTABILITIES IN
FREE-ENERGY CALCULATIONS BASED ON MOLECULAR SIMULATIONS. Chem Phys
Lett (1994) vol. 222 pp. 529-539

On Thu, Feb 12, 2009 at 1:33 PM,  <chris.neale at utoronto.ca> wrote:
  Does anybody know of a good paper that
describes the underlying equations that define soft core?

Thanks,
Chris.

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