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首页> 外文期刊>Biophysical reviews and letters >Correlations in Single File Diffusion:Open and Closed Systems
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Correlations in Single File Diffusion:Open and Closed Systems

机译：单文件扩散中的相关性：开放式和封闭式系统

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摘要

We present a discussion of positional and velocity correlations of particles in single- file diffusion, based on some earlier work. We consider two physical situations:(a) An open system of N hard-core particles on an infinite line. (b) A large system with a fixed density of hard-core particles at an arbitrary temperature. In the first case (a), moments and correlations show unusual behavior. The average displacement of a particle is nonzero and grows as t~(1/2). Furthermore it depends on the position of the particle. Particles on the right of center are pushed right and those on the left are pushed left. The mean-square displacement also depends on the position. The diffusion constant is small for particles around the center but grows rapidly toward edges. Certain correlations in particle displacement grow with separation. For the second case (b) we give exact results for velocity-velocity auto-cor relator of a tagged particle and establish that with time this correlator becomes negative and approaches zero as a power-law t~(-3/2) at long times. The mobility of the tagged particle is shown to decrease rapidly with density as has been observed in experiments.
机译：基于一些早期的工作，我们将讨论单文件扩散中粒子的位置和速度相关性。我们考虑两种物理情况：（a）在无限线上有N个硬核粒子的开放系统。 （b）在任意温度下具有固定密度的硬核颗粒的大型系统。在第一种情况（a）中，力矩和相关性显示出异常的行为。粒子的平均位移不为零，并以t〜（1/2）的速度增长。此外，它取决于粒子的位置。中心右边的粒子向右推，左边的粒子向左推。均方位移也取决于位置。对于中心附近的粒子，扩散常数很小，但向边缘迅速增长。颗粒位移的某些相关性随分离而增长。对于第二种情况（b），我们给出了标记粒子的速度-速度自相关器的精确结果，并确定该相关器随时间变为负值，并且随着幂定律t〜（-3/2）逐渐接近零。次。如在实验中观察到的，显示出标记的颗粒的迁移率随密度迅速降低。

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