Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-11-28
Diffusion Fundamentals 4 (2006), 7.1 - 7.12
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 3 figures
Scientific paper
We study two-component single-file diffusion inside a narrow channel that at its ends is open and connected with particle reservoirs. Using a two-species version of the symmetric simple exclusion process as a model, we propose a hydrodynamic description of the coarse-grained dynamics with a self-diffusion coefficient that is inversely proportional to the length of the channel. The theory predicts an unexpected nonequilibrium phase transition for the bulk particle density as the external total density gradient between the reservoirs is varied. The individual particle currents do not in general satisfy Fick's first law. These results are confirmed by extensive dynamical Monte-Carlo simulations for equal diffusivities of the two components.
Brzank Andreas
Schuetz Gunter M.
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