We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically associated to systems of small number of particles and to small damping. In order to understand those results, we present an original analysis based on the decomposition of the particles motion in the normal modes of the chain. Our model explains all dynamic regimes observed in our simulations, and provides convincing estimates of the crossover times between those regimes.
Abstract. 2014 The Atomic Force Microscopies used in Resonant mode is a powerful tool to measure local surface properties: for example, the quantitative analysis of the electrical forces induced by the application of an electrical tension between a conductive microscope tip and a forwards surface in front allows the determination of the tip/surface capacitance and of the local surface work function. However, this analysis needs a well adapted model for each type of surface. In this paper, we calculate, with a simple geometrical model, the tip-surface interaction between a metallic tip and a semiconducting surface and we describe its variations with the applied tension and the tip/surface distance.
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