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Single-file diffusion in an interval: First passage properties
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10.1063/1.4801326
/content/aip/journal/jcp/138/15/10.1063/1.4801326
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4801326
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Figures

Image of FIG. 1.
FIG. 1.

Illustration of space-time trajectories of N = 4 particles. During the time interval (0, t), the tagged particle (bold line, n = 2) undergoes three elastic collisions with its neighbors. Each collision can be equivalently represented as follows: we let two approaching particles pass freely through one another, and after they cross we exchange their labels. This maps the trajectories of interacting particles onto the trajectories of noninteracting ones. Namely, the trajectory of the tagged particle is equivalently represented by the trajectory of the second left-most particle among N = 4 noninteracting particles (regardless the actual identity of the second left-most noninteracting particle). The mapping implies that, at the time t, the pdf for the tagged particle equals to the pdf for the second left-most particle among N = 4 noninteracting particles. For a general n, and N, the pdf is given in Eq. (2) .

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/content/aip/journal/jcp/138/15/10.1063/1.4801326
2013-04-17
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Single-file diffusion in an interval: First passage properties
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4801326
10.1063/1.4801326
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