1306.5370 (Jun Ma et al.)
Jun Ma, Guangyin Jing
Brownian motion of colloidal particles in quasi-two-dimensional (qTD) confinement displays distinct dynamic characters from that in bulk. Past studies concentrated on relatively 'fast' dynamics of particle motion in the confinement. Here we experimentally report a 'slow' dynamics evolution in qTD system. This imperceptible feature is only disclosed after the dynamical system proceeds towards a long time scale: the existence of a quasi-equilibrium state of Brownian motion of colloidal particles. In the long process of quasi-equilibrium, the confinement results in the coupling of particle motions, which slowly dampens the motion and interaction of particles until the final equilibrium state reaches after 100-hour coupling. We develop the theory of Brownian particles in qTD confinement to introduce the coupling effect, which infers a feasible method for designing kernel coefficients to bring the complex interaction into well-known solution of Brownian motion.
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http://arxiv.org/abs/1306.5370
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