Brownian Particle

Now to a real Brownian particle and Einstein and Smoluchowski's solution. Divide the time we watch the particle into intervals of hundredths of a second. Now after one short interval the particle moves to one place, and in the next short interval it moves again and so on. A single water molecule receives about 1014 strikes each second, so in a hundredth of a second, our particle receives 1012 hits. Collisions are random, so each step a particle takes is independent from the step it just took and the step it will take.

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