Title: Better than counting: Density profiles from force sampling,
Abstract: Calculating one-body density profiles in equilibrium via particle-based
simulation methods involves counting of events of particle occurrences at
(histogram-resolved) space points. Here we investigate an alternative method
based on a histogram of the local force density. Via an exact sum rule the
density profile is obtained with a simple spatial integration. The method
circumvents the inherent ideal gas fluctuations. We have tested the method in
Monte Carlo, Brownian Dynamics and Molecular Dynamics simulations. The results
carry a statistical uncertainty smaller than that of the standard, counting,
method, reducing therefore the computation time.