= Solution
<Brownian motion> is the irregular thermal displacement produced by fluctuating molecular forces from the surrounding liquid. In the overdamped regime its long-time displacement is diffusive, with <mean squared displacement> proportional to time. It brings nanoscale building blocks into contact and lets them sample orientations and escape weak incorrect contacts. Interparticle forces bias this exploration toward lower-free-energy structures; <thermal motion> alone does not select a particular <crystal>. Strong irreversible attraction, high <viscosity> or glassy arrest can stop the defect correction needed for successful <self-assembly>.
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