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. 2013 Sep 11;8(9):e74261. doi: 10.1371/journal.pone.0074261

Figure 6. Determination of the Brownian Dynamics Time Step Length Inline graphic.

Figure 6

A: Dependency of the computed radial distribution function Inline graphic for different time step lengths Inline graphic. The black line shows the exact Inline graphic of Inline graphic-particles computed by Monte Carlo. The interaction potential was chosen to be a softcore repulsion potential (Inline graphic) when their distance is closer than the sum of their collision radii Inline graphic. The colored lines show Inline graphic’s computed from time discretized Brownian dynamics simulations with different timesteps. B: Root mean square error of the difference between Monte Carlo derived g(r) and the discretized diffusion simulation (displayed in same color code as A).