Abstract
We present a method to analyze biased molecular-dynamics
and Monte Carlo simulations, also known as umbrella
sampling. In the limiting case of a strong bias, this
method is equivalent to thermodynamic integration. It
employs only quantities with easily controllable
equilibration and greatly reduces the statistical errors
compared to the standard weighted histogram analysis
method. We show the success of our approach for two
examples, one analytic function, and one biological
system.
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