Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-02-04
Physics
Condensed Matter
Disordered Systems and Neural Networks
5pages, 4 figures included
Scientific paper
10.1103/PhysRevE.70.031305
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.
Lee Hoyun
Noh Jae Dong
Park Byung-Yoon
Shim G. M.
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