Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/4525
Title: | Statistical properties of a single-file diffusion front |
Authors: | Sabhapandit, Sanjib |
Issue Date: | May-2007 |
Publisher: | IOP Publishing Ltd |
Citation: | Journal of Statistical Mechanics, 2007, pL05002 |
Abstract: | Statistical properties of the front of a semi-infinite system of single-file diffusion (a one-dimensional system where particles cannot pass each other, but in between collisions each one independently exhibits diffusive motion) are investigated. Exact as well as asymptotic results are provided for the probability density function of (a) the front position, (b) the maximum of the front positions, and (c) the first-passage time to a given position. The asymptotic laws for the front position and the maximum front position are found to be governed by Fisher Tippett Gumbel extreme value statistics. The asymptotic properties of the first-passage time is dominated by a stretched-exponential tail in the distribution. The farness of the front with the rest of the system is investigated by considering (i) the gap from the front to the closest particle, and (ii) the density profile with respect to the front position, and analytical results are provided for late-time behaviours. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4525 |
Alternative Location: | http://arxiv.org/abs/cond-mat/0703231 http://dx.doi.org/10.1088/1742-5468/2007/05/L05002 http://adsabs.harvard.edu/abs/2007JSMTE..05....2S |
Copyright: | 2007 IOP Publishing Ltd |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2007_Stat Mech theory and Expt_05_pL05002.pdf Restricted Access | Restricted Access | 363.61 kB | Adobe PDF | View/Open Request a copy |
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