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Statistics of Particle Trajectories at Short Time Intervals Reveal fN-Scale Colloidal Forces

Statistics of Particle Trajectories at Short Time Intervals Reveal fN-Scale Colloidal Forces

We describe and implement a technique for extracting forces from the relaxation of an overdamped thermal system with normal modes. At sufficiently short time intervals, the evolution of a normal mode is well described by a one-dimensional Smoluchowski equation with constant drift velocity $v$, and diffusion coefficent $D$. By virtue …