Langevin formulation for single-file diffusion

Details Langevin formulation for single-file diffusion Langevin formulation for single-file diffusion

2008-10-29

arxiv.org/abs/0810.5210v1

Phys. Rev. E 78, 051116 (2008)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures, 1 table, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.78.051116

We introduce a stochastic equation for the microscopic motion of a tagged particle in the single file model. This equation provides a compact representation of several of the system's properties such as Fluctuation-Dissipation and Linear Response relations, achieved by means of a diffusion noise approach. Most important, the proposed Langevin Equation reproduces quantitatively the \emph{three} temporal regimes and the corresponding time scales: ballistic, diffusive and subdiffusive.

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