Superdiffusive trajectories in Brownian motion.
作者： Jérôme Duplat , Simon Kheifets , Tongcang Li , Mark G. Raizen , Emmanuel Villermaux
DOI: 10.1103/PHYSREVE.87.020105
关键词: Stochastic process 、 Physics 、 Langevin equation 、 Displacement (vector) 、 Dispersion (water waves) 、 Classical mechanics 、 Motion (geometry) 、 Brownian motion 、 Particle 、 Direct proof
摘要: The Brownian motion of a microscopic particle in fluid is one the cornerstones statistical physics and paradigm random process. One most powerful tools to quantify it was provided by Langevin, who explicitly accounted for short-time correlated "thermal" force. Langevin picture predicts ballistic motion, ~t(2) at scales, diffusive ~t long-time where x displacement during time t, average taken over thermal distribution initial conditions. equation also superdiffusive regime, ~t(3), under condition that velocity fixed rather than distributed thermally. We analyze an optically trapped air indeed find t(3) dispersion. This observation direct proof existence random, rapidly varying force imagined Langevin.
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