Noise and diffusion of particles obeying asymmetric exclusion processes

Details Noise and diffusion of particles obeying asymmetric exclusion processes Noise and diffusion of particles obeying asymmetric exclusion processes

2006-07-04

arxiv.org/abs/cond-mat/0607067v1

2007 J. Phys.: Condens. Matter 19 036226

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1063/1.2759721

The relation between noise and Fick's diffusion coefficient in barrier limited transport associated with hopping or tunneling mechanisms of particles obeying the asymmetric simple exclusion processes (ASEP) is physically assessed by Monte Carlo simulations. For a closed ring consisting of a large number of barriers the diffusion coefficient is related explicitly to the current noise thus revealing the existence of a generalized Nyquist-Einstein relation. Both diffusion and noise are confirmed to decrease as the square root of the number of barriers as a consequence of the correlation induced by ASEP. By contrast, for an open linear chain of barriers the diffusion coefficient is found to be no longer related to current noise. Here diffusion depends on particle concentration but is independent of the number of barriers.

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