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• W2318757436 abstract "The Brownian motion of a microscopic particle in a fluid is one of the cornerstones of statistical physics and the paradigm of a random process. One of the most powerful tools to quantify it was provided by Langevin, who explicitly accounted for a short-time correlated thermal force. The Langevin picture predicts ballistic motion, <x(2)>~t(2) at short-time scales, and diffusive motion <x(2)>~t at long-time scales, where x is the displacement of the particle during time t, and the average is taken over the thermal distribution of initial conditions. The Langevin equation also predicts a superdiffusive regime, where <x(2)>~t(3), under the condition that the initial velocity is fixed rather than distributed thermally. We analyze the motion of an optically trapped particle in air and indeed find t(3) dispersion. This observation is a direct proof of the existence of the random, rapidly varying force imagined by Langevin." @default.
• W2318757436 created "2016-06-24" @default.
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• W2318757436 date "2013-02-15" @default.
• W2318757436 modified "2023-10-16" @default.
• W2318757436 title "Superdiffusive trajectories in Brownian motion" @default.
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• W2318757436 doi "https://doi.org/10.1103/physreve.87.020105" @default.
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