Analytic study of the three-urn model for separation of sand
Disordered Systems and Neural Networks
2009-11-10 v1
Abstract
We present an analytic study of the three-urn model for separation of sand. We solve analytically the master equation and the first-passage problem. We find that the stationary probability distribution obeys the detailed balance and is governed by the {\it free energy}. We find that the characteristic lifetime of a cluster diverges algebraically with exponent 1/3 at the limit of stability.
Keywords
Cite
@article{arxiv.cond-mat/0402113,
title = {Analytic study of the three-urn model for separation of sand},
author = {G. M. Shim and B. Y. Park and J. D. Noh and Hoyun Lee},
journal= {arXiv preprint arXiv:cond-mat/0402113},
year = {2009}
}
Comments
5pages, 4 figures included